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<!DOCTYPE html>
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<title>Tutorials — Microgen 2.0.0b1 documentation</title>
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Microgen
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<p class="caption" role="heading"><span class="caption-text">Introduction</span></p>
<ul class="current">
<li class="toctree-l1"><a class="reference internal" href="Overview.html">Overview</a><ul>
<li class="toctree-l2"><a class="reference internal" href="Overview.html#brief-examples">Brief examples</a></li>
</ul>
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<li class="toctree-l1"><a class="reference internal" href="Install.html">Install</a><ul>
<li class="toctree-l2"><a class="reference internal" href="Install.html#with-pip">With pip</a></li>
<li class="toctree-l2"><a class="reference internal" href="Install.html#with-conda">With conda</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="quick_start.html">Quick-Start Guide</a><ul>
<li class="toctree-l2"><a class="reference internal" href="quick_start.html#first-steps">First Steps</a></li>
<li class="toctree-l2"><a class="reference internal" href="quick_start.html#creating-a-basic-tpms-shape">Creating a Basic TPMS Shape</a></li>
<li class="toctree-l2"><a class="reference internal" href="quick_start.html#tpms-part-types">TPMS Part Types</a></li>
<li class="toctree-l2"><a class="reference internal" href="quick_start.html#creating-basic-shapes">Creating Basic Shapes</a></li>
<li class="toctree-l2"><a class="reference internal" href="quick_start.html#generating-cad-geometry">Generating CAD Geometry</a></li>
<li class="toctree-l2"><a class="reference internal" href="quick_start.html#exporting-results">Exporting Results</a></li>
<li class="toctree-l2"><a class="reference internal" href="quick_start.html#next-steps">Next Steps</a></li>
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<li class="toctree-l1 current"><a class="current reference internal" href="#">Tutorials</a><ul>
<li class="toctree-l2"><a class="reference internal" href="#basic-shapes">Basic Shapes</a><ul>
<li class="toctree-l3"><a class="reference internal" href="#box">Box</a></li>
<li class="toctree-l3"><a class="reference internal" href="#sphere">Sphere</a></li>
<li class="toctree-l3"><a class="reference internal" href="#cylinder">Cylinder</a></li>
<li class="toctree-l3"><a class="reference internal" href="#ellipsoid">Ellipsoid</a></li>
<li class="toctree-l3"><a class="reference internal" href="#capsule">Capsule</a></li>
<li class="toctree-l3"><a class="reference internal" href="#extruded-polygon">Extruded Polygon</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="#tpms-surfaces">TPMS Surfaces</a><ul>
<li class="toctree-l3"><a class="reference internal" href="#available-surface-functions">Available Surface Functions</a></li>
<li class="toctree-l3"><a class="reference internal" href="#tpms-examples">TPMS Examples</a></li>
<li class="toctree-l3"><a class="reference internal" href="#using-density-instead-of-offset">Using Density Instead of Offset</a></li>
<li class="toctree-l3"><a class="reference internal" href="#spherical-tpms">Spherical TPMS</a></li>
<li class="toctree-l3"><a class="reference internal" href="#cylindrical-tpms">Cylindrical TPMS</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="#d-operations">3D Operations</a><ul>
<li class="toctree-l3"><a class="reference internal" href="#repeat">Repeat</a></li>
<li class="toctree-l3"><a class="reference internal" href="#raster">Raster</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="#meshing">Meshing</a><ul>
<li class="toctree-l3"><a class="reference internal" href="#regular-mesh-with-gmsh">Regular Mesh with Gmsh</a></li>
<li class="toctree-l3"><a class="reference internal" href="#periodic-mesh">Periodic Mesh</a></li>
<li class="toctree-l3"><a class="reference internal" href="#remeshing-with-mmg">Remeshing with Mmg</a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="#further-resources">Further Resources</a></li>
</ul>
</li>
</ul>
<p class="caption" role="heading"><span class="caption-text">Documentation</span></p>
<ul>
<li class="toctree-l1"><a class="reference internal" href="Documentation.html">Microgen API</a><ul>
<li class="toctree-l2"><a class="reference internal" href="modules.html">Microgen modules</a><ul>
<li class="toctree-l3"><a class="reference internal" href="modules.html#module-microgen.phase">Phase module</a><ul>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.phase.Phase"><code class="docutils literal notranslate"><span class="pre">Phase</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="modules.html#module-microgen.operations">Operations</a><ul>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.operations.cut_phase_by_shape_list"><code class="docutils literal notranslate"><span class="pre">cut_phase_by_shape_list()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.operations.cut_phases"><code class="docutils literal notranslate"><span class="pre">cut_phases()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.operations.cut_phases_by_shape"><code class="docutils literal notranslate"><span class="pre">cut_phases_by_shape()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.operations.cut_shapes"><code class="docutils literal notranslate"><span class="pre">cut_shapes()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.operations.fuse_shapes"><code class="docutils literal notranslate"><span class="pre">fuse_shapes()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.operations.raster_phase"><code class="docutils literal notranslate"><span class="pre">raster_phase()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.operations.repeat_polydata"><code class="docutils literal notranslate"><span class="pre">repeat_polydata()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.operations.repeat_shape"><code class="docutils literal notranslate"><span class="pre">repeat_shape()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.operations.rescale"><code class="docutils literal notranslate"><span class="pre">rescale()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.operations.rotate"><code class="docutils literal notranslate"><span class="pre">rotate()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.operations.rotate_euler"><code class="docutils literal notranslate"><span class="pre">rotate_euler()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="modules.html#module-microgen.rve">Rve</a><ul>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.rve.Rve"><code class="docutils literal notranslate"><span class="pre">Rve</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="modules.html#module-microgen.periodic">Periodic</a><ul>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.periodic.periodic_split_and_translate"><code class="docutils literal notranslate"><span class="pre">periodic_split_and_translate()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="modules.html#module-microgen.mesh">Mesh</a><ul>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.mesh.OutputMeshNotPeriodicError"><code class="docutils literal notranslate"><span class="pre">OutputMeshNotPeriodicError</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.mesh.is_periodic"><code class="docutils literal notranslate"><span class="pre">is_periodic()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.mesh.mesh"><code class="docutils literal notranslate"><span class="pre">mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.mesh.mesh_periodic"><code class="docutils literal notranslate"><span class="pre">mesh_periodic()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="modules.html#module-microgen.remesh">Remesh</a><ul>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.remesh.InputMeshNotPeriodicError"><code class="docutils literal notranslate"><span class="pre">InputMeshNotPeriodicError</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.remesh.OutputMeshNotPeriodicError"><code class="docutils literal notranslate"><span class="pre">OutputMeshNotPeriodicError</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.remesh.remesh_keeping_boundaries_for_fem"><code class="docutils literal notranslate"><span class="pre">remesh_keeping_boundaries_for_fem()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="modules.html#module-microgen.external">External</a><ul>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.external.Mmg"><code class="docutils literal notranslate"><span class="pre">Mmg</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.external.MmgError"><code class="docutils literal notranslate"><span class="pre">MmgError</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="modules.html#microgen.external.Neper"><code class="docutils literal notranslate"><span class="pre">Neper</span></code></a></li>
</ul>
</li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="microgen.shape.html">microgen.shape package</a><ul>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#shape-microgen-shape">Shape (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Box"><code class="docutils literal notranslate"><span class="pre">Box</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Box.generate_cad"><code class="docutils literal notranslate"><span class="pre">Box.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Box.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Box.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Capsule"><code class="docutils literal notranslate"><span class="pre">Capsule</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Capsule.generate_cad"><code class="docutils literal notranslate"><span class="pre">Capsule.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Capsule.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Capsule.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Cylinder"><code class="docutils literal notranslate"><span class="pre">Cylinder</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Cylinder.generate_cad"><code class="docutils literal notranslate"><span class="pre">Cylinder.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Cylinder.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Cylinder.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.CylindricalTpms"><code class="docutils literal notranslate"><span class="pre">CylindricalTpms</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Ellipsoid"><code class="docutils literal notranslate"><span class="pre">Ellipsoid</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Ellipsoid.generate_cad"><code class="docutils literal notranslate"><span class="pre">Ellipsoid.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Ellipsoid.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Ellipsoid.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.ExtrudedPolygon"><code class="docutils literal notranslate"><span class="pre">ExtrudedPolygon</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.ExtrudedPolygon.generate_cad"><code class="docutils literal notranslate"><span class="pre">ExtrudedPolygon.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.ExtrudedPolygon.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">ExtrudedPolygon.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.GradedInfill"><code class="docutils literal notranslate"><span class="pre">GradedInfill</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Infill"><code class="docutils literal notranslate"><span class="pre">Infill</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Infill.lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Infill.lower_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Infill.sheet"><code class="docutils literal notranslate"><span class="pre">Infill.sheet</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Infill.upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Infill.upper_skeletal</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.NormedDistance"><code class="docutils literal notranslate"><span class="pre">NormedDistance</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.NormedDistance.compute_offset"><code class="docutils literal notranslate"><span class="pre">NormedDistance.compute_offset()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Polyhedron"><code class="docutils literal notranslate"><span class="pre">Polyhedron</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Polyhedron.generate_cad"><code class="docutils literal notranslate"><span class="pre">Polyhedron.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Polyhedron.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Polyhedron.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape"><code class="docutils literal notranslate"><span class="pre">Shape</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.bounds"><code class="docutils literal notranslate"><span class="pre">Shape.bounds</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.center"><code class="docutils literal notranslate"><span class="pre">Shape.center</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.evaluate"><code class="docutils literal notranslate"><span class="pre">Shape.evaluate()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.func"><code class="docutils literal notranslate"><span class="pre">Shape.func</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.generate_cad"><code class="docutils literal notranslate"><span class="pre">Shape.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Shape.generate_surface_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.generate_volume_mesh"><code class="docutils literal notranslate"><span class="pre">Shape.generate_volume_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.orientation"><code class="docutils literal notranslate"><span class="pre">Shape.orientation</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.require_func"><code class="docutils literal notranslate"><span class="pre">Shape.require_func()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.rotate"><code class="docutils literal notranslate"><span class="pre">Shape.rotate()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.scale"><code class="docutils literal notranslate"><span class="pre">Shape.scale()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.smooth_difference"><code class="docutils literal notranslate"><span class="pre">Shape.smooth_difference()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.smooth_intersection"><code class="docutils literal notranslate"><span class="pre">Shape.smooth_intersection()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.smooth_union"><code class="docutils literal notranslate"><span class="pre">Shape.smooth_union()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Shape.translate"><code class="docutils literal notranslate"><span class="pre">Shape.translate()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Sphere"><code class="docutils literal notranslate"><span class="pre">Sphere</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Sphere.generate_cad"><code class="docutils literal notranslate"><span class="pre">Sphere.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Sphere.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Sphere.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.SphericalTpms"><code class="docutils literal notranslate"><span class="pre">SphericalTpms</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Spinodoid"><code class="docutils literal notranslate"><span class="pre">Spinodoid</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Spinodoid.generate_cad"><code class="docutils literal notranslate"><span class="pre">Spinodoid.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Spinodoid.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Spinodoid.generate_surface_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Spinodoid.generate_volume_mesh"><code class="docutils literal notranslate"><span class="pre">Spinodoid.generate_volume_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Spinodoid.grid"><code class="docutils literal notranslate"><span class="pre">Spinodoid.grid</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Spinodoid.grid_solid"><code class="docutils literal notranslate"><span class="pre">Spinodoid.grid_solid</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Spinodoid.surface"><code class="docutils literal notranslate"><span class="pre">Spinodoid.surface</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Sweep"><code class="docutils literal notranslate"><span class="pre">Sweep</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms"><code class="docutils literal notranslate"><span class="pre">Tpms</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.as_lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.as_lower_skeletal()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.as_sheet"><code class="docutils literal notranslate"><span class="pre">Tpms.as_sheet()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.as_surface"><code class="docutils literal notranslate"><span class="pre">Tpms.as_surface()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.as_upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.as_upper_skeletal()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.generate_cad"><code class="docutils literal notranslate"><span class="pre">Tpms.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Tpms.generate_surface_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.generate_volume_mesh"><code class="docutils literal notranslate"><span class="pre">Tpms.generate_volume_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.grid_lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.grid_lower_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.grid_sheet"><code class="docutils literal notranslate"><span class="pre">Tpms.grid_sheet</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.grid_upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.grid_upper_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.lower_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.offset"><code class="docutils literal notranslate"><span class="pre">Tpms.offset</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.offset_from_density"><code class="docutils literal notranslate"><span class="pre">Tpms.offset_from_density()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.raw_field"><code class="docutils literal notranslate"><span class="pre">Tpms.raw_field</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.sheet"><code class="docutils literal notranslate"><span class="pre">Tpms.sheet</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.skeletals"><code class="docutils literal notranslate"><span class="pre">Tpms.skeletals</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.surface"><code class="docutils literal notranslate"><span class="pre">Tpms.surface</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.Tpms.upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.upper_skeletal</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.batch_smooth_union"><code class="docutils literal notranslate"><span class="pre">batch_smooth_union()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.from_field"><code class="docutils literal notranslate"><span class="pre">from_field()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.new_geometry"><code class="docutils literal notranslate"><span class="pre">new_geometry()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#basic-geometry-microgen-shape-shape">Basic Geometry (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.shape</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape"><code class="docutils literal notranslate"><span class="pre">Shape</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.bounds"><code class="docutils literal notranslate"><span class="pre">Shape.bounds</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.center"><code class="docutils literal notranslate"><span class="pre">Shape.center</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.evaluate"><code class="docutils literal notranslate"><span class="pre">Shape.evaluate()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.func"><code class="docutils literal notranslate"><span class="pre">Shape.func</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.generate_cad"><code class="docutils literal notranslate"><span class="pre">Shape.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Shape.generate_surface_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.generate_volume_mesh"><code class="docutils literal notranslate"><span class="pre">Shape.generate_volume_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.orientation"><code class="docutils literal notranslate"><span class="pre">Shape.orientation</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.require_func"><code class="docutils literal notranslate"><span class="pre">Shape.require_func()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.rotate"><code class="docutils literal notranslate"><span class="pre">Shape.rotate()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.scale"><code class="docutils literal notranslate"><span class="pre">Shape.scale()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.smooth_difference"><code class="docutils literal notranslate"><span class="pre">Shape.smooth_difference()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.smooth_intersection"><code class="docutils literal notranslate"><span class="pre">Shape.smooth_intersection()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.smooth_union"><code class="docutils literal notranslate"><span class="pre">Shape.smooth_union()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.Shape.translate"><code class="docutils literal notranslate"><span class="pre">Shape.translate()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.shape.ShellCreationError"><code class="docutils literal notranslate"><span class="pre">ShellCreationError</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#box-microgen-shape-box">Box (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.box</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.box.Box"><code class="docutils literal notranslate"><span class="pre">Box</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.box.Box.generate_cad"><code class="docutils literal notranslate"><span class="pre">Box.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.box.Box.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Box.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#capsule-microgen-shape-capsule">Capsule (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.capsule</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.capsule.Capsule"><code class="docutils literal notranslate"><span class="pre">Capsule</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.capsule.Capsule.generate_cad"><code class="docutils literal notranslate"><span class="pre">Capsule.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.capsule.Capsule.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Capsule.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#cylinder-microgen-shape-cylinder">Cylinder (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.cylinder</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.cylinder.Cylinder"><code class="docutils literal notranslate"><span class="pre">Cylinder</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.cylinder.Cylinder.generate_cad"><code class="docutils literal notranslate"><span class="pre">Cylinder.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.cylinder.Cylinder.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Cylinder.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#ellipsoid-microgen-shape-ellipsoid">Ellipsoid (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.ellipsoid</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.ellipsoid.Ellipsoid"><code class="docutils literal notranslate"><span class="pre">Ellipsoid</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.ellipsoid.Ellipsoid.generate_cad"><code class="docutils literal notranslate"><span class="pre">Ellipsoid.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.ellipsoid.Ellipsoid.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Ellipsoid.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#extruded-polygon-microgen-shape-extruded-polygon">Extruded Polygon (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.extruded_polygon</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.extruded_polygon.ExtrudedPolygon"><code class="docutils literal notranslate"><span class="pre">ExtrudedPolygon</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.extruded_polygon.ExtrudedPolygon.generate_cad"><code class="docutils literal notranslate"><span class="pre">ExtrudedPolygon.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.extruded_polygon.ExtrudedPolygon.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">ExtrudedPolygon.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#polyhedron-microgen-shape-polyhedron">Polyhedron (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.polyhedron</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.polyhedron.Polyhedron"><code class="docutils literal notranslate"><span class="pre">Polyhedron</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.polyhedron.Polyhedron.generate_cad"><code class="docutils literal notranslate"><span class="pre">Polyhedron.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.polyhedron.Polyhedron.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Polyhedron.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.polyhedron.read_obj"><code class="docutils literal notranslate"><span class="pre">read_obj()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#sphere-microgen-shape-sphere">Sphere (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.sphere</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.sphere.Sphere"><code class="docutils literal notranslate"><span class="pre">Sphere</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.sphere.Sphere.generate_cad"><code class="docutils literal notranslate"><span class="pre">Sphere.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.sphere.Sphere.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Sphere.generate_surface_mesh()</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#tpms-microgen-shape-tpms">TPMS (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.tpms</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.CylindricalTpms"><code class="docutils literal notranslate"><span class="pre">CylindricalTpms</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.GradedInfill"><code class="docutils literal notranslate"><span class="pre">GradedInfill</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Infill"><code class="docutils literal notranslate"><span class="pre">Infill</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Infill.lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Infill.lower_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Infill.sheet"><code class="docutils literal notranslate"><span class="pre">Infill.sheet</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Infill.upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Infill.upper_skeletal</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.ShellCreationError"><code class="docutils literal notranslate"><span class="pre">ShellCreationError</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.SphericalTpms"><code class="docutils literal notranslate"><span class="pre">SphericalTpms</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Sweep"><code class="docutils literal notranslate"><span class="pre">Sweep</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms"><code class="docutils literal notranslate"><span class="pre">Tpms</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.as_lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.as_lower_skeletal()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.as_sheet"><code class="docutils literal notranslate"><span class="pre">Tpms.as_sheet()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.as_surface"><code class="docutils literal notranslate"><span class="pre">Tpms.as_surface()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.as_upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.as_upper_skeletal()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.generate_cad"><code class="docutils literal notranslate"><span class="pre">Tpms.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">Tpms.generate_surface_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.generate_volume_mesh"><code class="docutils literal notranslate"><span class="pre">Tpms.generate_volume_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.grid_lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.grid_lower_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.grid_sheet"><code class="docutils literal notranslate"><span class="pre">Tpms.grid_sheet</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.grid_upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.grid_upper_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.lower_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.lower_skeletal</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.offset"><code class="docutils literal notranslate"><span class="pre">Tpms.offset</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.offset_from_density"><code class="docutils literal notranslate"><span class="pre">Tpms.offset_from_density()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.raw_field"><code class="docutils literal notranslate"><span class="pre">Tpms.raw_field</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.sheet"><code class="docutils literal notranslate"><span class="pre">Tpms.sheet</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.skeletals"><code class="docutils literal notranslate"><span class="pre">Tpms.skeletals</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.surface"><code class="docutils literal notranslate"><span class="pre">Tpms.surface</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.html#microgen.shape.tpms.Tpms.upper_skeletal"><code class="docutils literal notranslate"><span class="pre">Tpms.upper_skeletal</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#implicit-operations-microgen-shape-implicit-ops">Implicit Operations (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.implicit_ops</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.batch_smooth_union"><code class="docutils literal notranslate"><span class="pre">batch_smooth_union()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.blend"><code class="docutils literal notranslate"><span class="pre">blend()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.box"><code class="docutils literal notranslate"><span class="pre">box()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.complement"><code class="docutils literal notranslate"><span class="pre">complement()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.difference"><code class="docutils literal notranslate"><span class="pre">difference()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.from_field"><code class="docutils literal notranslate"><span class="pre">from_field()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.intersection"><code class="docutils literal notranslate"><span class="pre">intersection()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.normalize_to_sdf"><code class="docutils literal notranslate"><span class="pre">normalize_to_sdf()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.repeat"><code class="docutils literal notranslate"><span class="pre">repeat()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.shell"><code class="docutils literal notranslate"><span class="pre">shell()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.smooth_difference"><code class="docutils literal notranslate"><span class="pre">smooth_difference()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.smooth_intersection"><code class="docutils literal notranslate"><span class="pre">smooth_intersection()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.smooth_union"><code class="docutils literal notranslate"><span class="pre">smooth_union()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.implicit_ops.union"><code class="docutils literal notranslate"><span class="pre">union()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.fischer_koch_s"><code class="docutils literal notranslate"><span class="pre">fischer_koch_s()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.gyroid"><code class="docutils literal notranslate"><span class="pre">gyroid()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.honeycomb"><code class="docutils literal notranslate"><span class="pre">honeycomb()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.honeycomb_gyroid"><code class="docutils literal notranslate"><span class="pre">honeycomb_gyroid()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.honeycomb_lidinoid"><code class="docutils literal notranslate"><span class="pre">honeycomb_lidinoid()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.honeycomb_schoen_iwp"><code class="docutils literal notranslate"><span class="pre">honeycomb_schoen_iwp()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.honeycomb_schwarz_d"><code class="docutils literal notranslate"><span class="pre">honeycomb_schwarz_d()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.honeycomb_schwarz_p"><code class="docutils literal notranslate"><span class="pre">honeycomb_schwarz_p()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.lidinoid"><code class="docutils literal notranslate"><span class="pre">lidinoid()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.neovius"><code class="docutils literal notranslate"><span class="pre">neovius()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.pmy"><code class="docutils literal notranslate"><span class="pre">pmy()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.schoen_frd"><code class="docutils literal notranslate"><span class="pre">schoen_frd()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.schoen_iwp"><code class="docutils literal notranslate"><span class="pre">schoen_iwp()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.schwarz_d"><code class="docutils literal notranslate"><span class="pre">schwarz_d()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.schwarz_p"><code class="docutils literal notranslate"><span class="pre">schwarz_p()</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.html#microgen.shape.surface_functions.split_p"><code class="docutils literal notranslate"><span class="pre">split_p()</span></code></a></li>
</ul>
</li>
<li class="toctree-l2"><a class="reference internal" href="microgen.shape.strut_lattice.html">microgen.shape.strut_lattice subpackage</a><ul>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#abstract-lattice-microgen-shape-strut-lattice-abstract-lattice">Abstract Lattice (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.abstract_lattice</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice"><code class="docutils literal notranslate"><span class="pre">AbstractLattice</span></code></a><ul>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.base_vertices"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.base_vertices</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.cad_shape"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.cad_shape</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.generate_cad"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.generate_cad()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.generate_surface_mesh"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.generate_surface_mesh()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.mesh_for_fem"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.mesh_for_fem()</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.strut_heights"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.strut_heights</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.strut_number"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.strut_number</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.strut_vertex_pairs"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.strut_vertex_pairs</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.volume"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.volume</span></code></a></li>
<li class="toctree-l4"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.abstract_lattice.AbstractLattice.vtk_shape"><code class="docutils literal notranslate"><span class="pre">AbstractLattice.vtk_shape</span></code></a></li>
</ul>
</li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#body-centered-cubic-microgen-shape-strut-lattice-body-centered-cubic">Body Centered Cubic (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.body_centered_cubic</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.body_centered_cubic.BodyCenteredCubic"><code class="docutils literal notranslate"><span class="pre">BodyCenteredCubic</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#cubic-microgen-shape-strut-lattice-cubic">Cubic (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.cubic</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.cubic.Cubic"><code class="docutils literal notranslate"><span class="pre">Cubic</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#cuboctahedron-microgen-shape-strut-lattice-cuboctahedron">Cuboctahedron (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.cuboctahedron</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.cuboctahedron.Cuboctahedron"><code class="docutils literal notranslate"><span class="pre">Cuboctahedron</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#custom-lattice-microgen-shape-strut-lattice-custom-lattice">Custom Lattice (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.custom_lattice</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.custom_lattice.CustomLattice"><code class="docutils literal notranslate"><span class="pre">CustomLattice</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#diamond-microgen-shape-strut-lattice-diamond">Diamond (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.diamond</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.diamond.Diamond"><code class="docutils literal notranslate"><span class="pre">Diamond</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#face-centered-cubic-microgen-shape-strut-lattice-face-centered-cubic">Face Centered Cubic (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.face_centered_cubic</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.face_centered_cubic.FaceCenteredCubic"><code class="docutils literal notranslate"><span class="pre">FaceCenteredCubic</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#octahedron-microgen-shape-strut-lattice-octahedron">Octahedron (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.octahedron</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.octahedron.Octahedron"><code class="docutils literal notranslate"><span class="pre">Octahedron</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#octet-truss-microgen-shape-strut-lattice-octet-truss">Octet-truss (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.octet_truss</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.octet_truss.OctetTruss"><code class="docutils literal notranslate"><span class="pre">OctetTruss</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#rhombic-cuboctahedron-microgen-shape-strut-lattice-rhombic-cuboctahedron">Rhombic Cuboctahedron (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.rhombic_cuboctahedron</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.rhombic_cuboctahedron.RhombicCuboctahedron"><code class="docutils literal notranslate"><span class="pre">RhombicCuboctahedron</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#rhombic-dodecahedron-microgen-shape-strut-lattice-rhombic-dodecahedron">Rhombic Dodecahedron (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.rhombic_dodecahedron</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.rhombic_dodecahedron.RhombicDodecahedron"><code class="docutils literal notranslate"><span class="pre">RhombicDodecahedron</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#truncated-cube-microgen-shape-strut-lattice-truncated-cube">Truncated Cube (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.truncated_cube</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.truncated_cube.TruncatedCube"><code class="docutils literal notranslate"><span class="pre">TruncatedCube</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#truncated-cuboctahedron-microgen-shape-strut-lattice-truncated-cuboctahedron">Truncated Cuboctahedron (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.truncated_cuboctahedron</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.truncated_cuboctahedron.TruncatedCuboctahedron"><code class="docutils literal notranslate"><span class="pre">TruncatedCuboctahedron</span></code></a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#truncated-octahedron-microgen-shape-strut-lattice-truncated-octahedron">Truncated Octahedron (<code class="xref py py-mod docutils literal notranslate"><span class="pre">microgen.shape.strut_lattice.truncated_octahedron</span></code>)</a></li>
<li class="toctree-l3"><a class="reference internal" href="microgen.shape.strut_lattice.html#microgen.shape.strut_lattice.truncated_octahedron.TruncatedOctahedron"><code class="docutils literal notranslate"><span class="pre">TruncatedOctahedron</span></code></a></li>
</ul>
</li>
</ul>
</li>
</ul>
<p class="caption" role="heading"><span class="caption-text">Examples</span></p>
<ul>
<li class="toctree-l1"><a class="reference internal" href="examples/basic_shapes.html">Geometries</a><ul>
<li class="toctree-l2"><a class="reference internal" href="examples/basic_shapes.html#basic-shapes">Basic shapes</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/basic_shapes.html#platon-polyhedra">Platon polyhedra</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="examples/lattices.html">Lattices</a><ul>
<li class="toctree-l2"><a class="reference internal" href="examples/lattices.html#octet-truss">Octet-truss</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/lattices.html#honeycomb">Honeycomb</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/lattices.html#preset-strut-based-lattices">Preset strut-based lattices</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/lattices.html#custom-strut-based-lattices">Custom strut-based lattices</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="examples/tpms.html">Triply Periodic Minimal Surfaces (TPMS)</a><ul>
<li class="toctree-l2"><a class="reference internal" href="examples/tpms.html#gyroid">Gyroid</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/tpms.html#tpms-available">TPMS available</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/tpms.html#spherical-gyroid">Spherical gyroid</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/tpms.html#shell">Shell</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="examples/3d_operations.html">3D operations</a><ul>
<li class="toctree-l2"><a class="reference internal" href="examples/3d_operations.html#repeating-unit-geometry">Repeating unit geometry</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/3d_operations.html#raster-ellipsoid">Raster Ellipsoid</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/3d_operations.html#voronoi">Voronoi</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/3d_operations.html#voronoi-gyroid">Voronoi gyroid</a></li>
</ul>
</li>
<li class="toctree-l1"><a class="reference internal" href="examples/mesh.html">Mesh</a><ul>
<li class="toctree-l2"><a class="reference internal" href="examples/mesh.html#id1">Mesh</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/mesh.html#periodic-mesh">Periodic Mesh</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/mesh.html#mmg">mmg</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/mesh.html#mmg-voronoi">mmg Voronoi</a></li>
<li class="toctree-l2"><a class="reference internal" href="examples/mesh.html#periodic-remeshing">Periodic remeshing</a></li>
</ul>
</li>
</ul>
</div>
</div>
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<section id="tutorials">
<span id="rst-tutorials"></span><h1>Tutorials<a class="headerlink" href="#tutorials" title="Link to this heading"></a></h1>
<p>This page provides comprehensive tutorials for all Microgen features.</p>
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<section id="basic-shapes">
<h2>Basic Shapes<a class="headerlink" href="#basic-shapes" title="Link to this heading"></a></h2>
<p>Microgen provides several basic geometric shapes that can be used as building blocks.</p>
<section id="box">
<h3>Box<a class="headerlink" href="#box" title="Link to this heading"></a></h3>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span><span class="w"> </span><span class="nn">microgen</span>
<span class="n">box</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Box</span><span class="p">(</span>
<span class="n">center</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span>
<span class="n">dim</span><span class="o">=</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.6</span><span class="p">,</span> <span class="mf">0.4</span><span class="p">),</span>
<span class="n">orientation</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span>
<span class="p">)</span>
<span class="n">box</span><span class="o">.</span><span class="n">generate_surface_mesh</span><span class="p">()</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">color</span><span class="o">=</span><span class="s1">'white'</span><span class="p">)</span>
</pre></div>
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<section id="sphere">
<h3>Sphere<a class="headerlink" href="#sphere" title="Link to this heading"></a></h3>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">sphere</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Sphere</span><span class="p">(</span>
<span class="n">center</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span>
<span class="n">radius</span><span class="o">=</span><span class="mf">0.5</span>
<span class="p">)</span>
<span class="n">sphere</span><span class="o">.</span><span class="n">generate_surface_mesh</span><span class="p">()</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">color</span><span class="o">=</span><span class="s1">'white'</span><span class="p">)</span>
</pre></div>
</div>
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<img alt="_images/tutorials_2_0.png" src="_images/tutorials_2_0.png" />
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</section>
<section id="cylinder">
<h3>Cylinder<a class="headerlink" href="#cylinder" title="Link to this heading"></a></h3>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">cylinder</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Cylinder</span><span class="p">(</span>
<span class="n">center</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span>
<span class="n">height</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span>
<span class="n">radius</span><span class="o">=</span><span class="mf">0.3</span><span class="p">,</span>
<span class="n">orientation</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span>
<span class="p">)</span>
<span class="n">cylinder</span><span class="o">.</span><span class="n">generate_surface_mesh</span><span class="p">()</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">color</span><span class="o">=</span><span class="s1">'white'</span><span class="p">)</span>
</pre></div>
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</section>
<section id="ellipsoid">
<h3>Ellipsoid<a class="headerlink" href="#ellipsoid" title="Link to this heading"></a></h3>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">ellipsoid</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Ellipsoid</span><span class="p">(</span>
<span class="n">center</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span>
<span class="n">radii</span><span class="o">=</span><span class="p">(</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.3</span><span class="p">,</span> <span class="mf">0.2</span><span class="p">),</span>
<span class="n">orientation</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span>
<span class="p">)</span>
<span class="n">ellipsoid</span><span class="o">.</span><span class="n">generate_surface_mesh</span><span class="p">()</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">color</span><span class="o">=</span><span class="s1">'white'</span><span class="p">)</span>
</pre></div>
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</section>
<section id="capsule">
<h3>Capsule<a class="headerlink" href="#capsule" title="Link to this heading"></a></h3>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">capsule</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Capsule</span><span class="p">(</span>
<span class="n">center</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span>
<span class="n">height</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span>
<span class="n">radius</span><span class="o">=</span><span class="mf">0.2</span><span class="p">,</span>
<span class="n">orientation</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span>
<span class="p">)</span>
<span class="n">capsule</span><span class="o">.</span><span class="n">generate_surface_mesh</span><span class="p">()</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">color</span><span class="o">=</span><span class="s1">'white'</span><span class="p">)</span>
</pre></div>
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</div>
</section>
<section id="extruded-polygon">
<h3>Extruded Polygon<a class="headerlink" href="#extruded-polygon" title="Link to this heading"></a></h3>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="c1"># Define polygon corners</span>
<span class="n">corners</span> <span class="o">=</span> <span class="p">[(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span> <span class="p">(</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">1.5</span><span class="p">),</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">)]</span>
<span class="n">polygon</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">ExtrudedPolygon</span><span class="p">(</span>
<span class="n">center</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span>
<span class="n">list_corners</span><span class="o">=</span><span class="n">corners</span><span class="p">,</span>
<span class="n">height</span><span class="o">=</span><span class="mf">0.5</span><span class="p">,</span>
<span class="n">orientation</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span>
<span class="p">)</span>
<span class="n">polygon</span><span class="o">.</span><span class="n">generate_surface_mesh</span><span class="p">()</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">color</span><span class="o">=</span><span class="s1">'white'</span><span class="p">)</span>
</pre></div>
</div>
</div>
<div class="cell_output docutils container">
<img alt="_images/tutorials_6_0.png" src="_images/tutorials_6_0.png" />
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</div>
</section>
</section>
<section id="tpms-surfaces">
<h2>TPMS Surfaces<a class="headerlink" href="#tpms-surfaces" title="Link to this heading"></a></h2>
<p>Microgen supports many TPMS (Triply Periodic Minimal Surfaces) functions.</p>
<section id="available-surface-functions">
<h3>Available Surface Functions<a class="headerlink" href="#available-surface-functions" title="Link to this heading"></a></h3>
<p>The following TPMS surface functions are available in <code class="docutils literal notranslate"><span class="pre">microgen.surface_functions</span></code>:</p>
<table class="docutils align-default" id="id1">
<caption><span class="caption-text">3D TPMS Functions</span><a class="headerlink" href="#id1" title="Link to this table"></a></caption>
<colgroup>
<col style="width: 30.0%" />
<col style="width: 70.0%" />
</colgroup>
<thead>
<tr class="row-odd"><th class="head"><p>Function</p></th>
<th class="head"><p>Description</p></th>
</tr>
</thead>
<tbody>
<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">gyroid</span></code></p></td>
<td><p>Gyroid surface</p></td>
</tr>
<tr class="row-odd"><td><p><code class="docutils literal notranslate"><span class="pre">schwarz_p</span></code></p></td>
<td><p>Schwarz P surface</p></td>
</tr>
<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">schwarz_d</span></code></p></td>
<td><p>Schwarz D surface</p></td>
</tr>
<tr class="row-odd"><td><p><code class="docutils literal notranslate"><span class="pre">neovius</span></code></p></td>
<td><p>Neovius surface</p></td>
</tr>
<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">schoen_iwp</span></code></p></td>
<td><p>Schoen IWP surface</p></td>
</tr>
<tr class="row-odd"><td><p><code class="docutils literal notranslate"><span class="pre">schoen_frd</span></code></p></td>
<td><p>Schoen FRD surface</p></td>
</tr>
<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">fischer_koch_s</span></code></p></td>
<td><p>Fischer-Koch S surface</p></td>
</tr>
<tr class="row-odd"><td><p><code class="docutils literal notranslate"><span class="pre">pmy</span></code></p></td>
<td><p>PMY surface</p></td>
</tr>
<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">honeycomb</span></code></p></td>
<td><p>Honeycomb surface</p></td>
</tr>
<tr class="row-odd"><td><p><code class="docutils literal notranslate"><span class="pre">lidinoid</span></code></p></td>
<td><p>Lidinoid surface</p></td>
</tr>
<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">split_p</span></code></p></td>
<td><p>Split P surface</p></td>
</tr>
</tbody>
</table>
<table class="docutils align-default" id="id2">
<caption><span class="caption-text">2D Honeycomb Functions</span><a class="headerlink" href="#id2" title="Link to this table"></a></caption>
<colgroup>
<col style="width: 30.0%" />
<col style="width: 70.0%" />
</colgroup>
<thead>
<tr class="row-odd"><th class="head"><p>Function</p></th>
<th class="head"><p>Description</p></th>
</tr>
</thead>
<tbody>
<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">honeycomb_gyroid</span></code></p></td>
<td><p>2D Honeycomb Gyroid</p></td>
</tr>
<tr class="row-odd"><td><p><code class="docutils literal notranslate"><span class="pre">honeycomb_schwarz_p</span></code></p></td>
<td><p>2D Honeycomb Schwarz P</p></td>
</tr>
<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">honeycomb_schwarz_d</span></code></p></td>
<td><p>2D Honeycomb Schwarz D</p></td>
</tr>
<tr class="row-odd"><td><p><code class="docutils literal notranslate"><span class="pre">honeycomb_schoen_iwp</span></code></p></td>
<td><p>2D Honeycomb Schoen IWP</p></td>
</tr>
<tr class="row-even"><td><p><code class="docutils literal notranslate"><span class="pre">honeycomb_lidinoid</span></code></p></td>
<td><p>2D Honeycomb Lidinoid</p></td>
</tr>
</tbody>
</table>
</section>
<section id="tpms-examples">
<h3>TPMS Examples<a class="headerlink" href="#tpms-examples" title="Link to this heading"></a></h3>
<p>Schwarz P:</p>
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<div class="cell_input code_cell docutils container">
<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">schwarz_p</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Tpms</span><span class="p">(</span>
<span class="n">surface_function</span><span class="o">=</span><span class="n">microgen</span><span class="o">.</span><span class="n">surface_functions</span><span class="o">.</span><span class="n">schwarz_p</span><span class="p">,</span>
<span class="n">offset</span><span class="o">=</span><span class="mf">0.3</span><span class="p">,</span>
<span class="n">cell_size</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span>
<span class="n">repeat_cell</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span>
<span class="n">resolution</span><span class="o">=</span><span class="mi">20</span>
<span class="p">)</span>
<span class="n">schwarz_p</span><span class="o">.</span><span class="n">sheet</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">color</span><span class="o">=</span><span class="s1">'white'</span><span class="p">)</span>
</pre></div>
</div>
</div>
<div class="cell_output docutils container">
<img alt="_images/tutorials_7_0.png" src="_images/tutorials_7_0.png" />
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</div>
<p>Schwarz D:</p>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">schwarz_d</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Tpms</span><span class="p">(</span>
<span class="n">surface_function</span><span class="o">=</span><span class="n">microgen</span><span class="o">.</span><span class="n">surface_functions</span><span class="o">.</span><span class="n">schwarz_d</span><span class="p">,</span>
<span class="n">offset</span><span class="o">=</span><span class="mf">0.3</span><span class="p">,</span>
<span class="n">cell_size</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span>
<span class="n">repeat_cell</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span>
<span class="n">resolution</span><span class="o">=</span><span class="mi">20</span>
<span class="p">)</span>
<span class="n">schwarz_d</span><span class="o">.</span><span class="n">sheet</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">color</span><span class="o">=</span><span class="s1">'white'</span><span class="p">)</span>
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<p>Neovius:</p>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">neovius</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Tpms</span><span class="p">(</span>
<span class="n">surface_function</span><span class="o">=</span><span class="n">microgen</span><span class="o">.</span><span class="n">surface_functions</span><span class="o">.</span><span class="n">neovius</span><span class="p">,</span>
<span class="n">offset</span><span class="o">=</span><span class="mf">0.3</span><span class="p">,</span>
<span class="n">cell_size</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span>
<span class="n">repeat_cell</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span>
<span class="n">resolution</span><span class="o">=</span><span class="mi">20</span>
<span class="p">)</span>
<span class="n">neovius</span><span class="o">.</span><span class="n">sheet</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">color</span><span class="o">=</span><span class="s1">'white'</span><span class="p">)</span>
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</section>
<section id="using-density-instead-of-offset">
<h3>Using Density Instead of Offset<a class="headerlink" href="#using-density-instead-of-offset" title="Link to this heading"></a></h3>
<p>You can specify a target density instead of an offset value:</p>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">gyroid_50</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Tpms</span><span class="p">(</span>
<span class="n">surface_function</span><span class="o">=</span><span class="n">microgen</span><span class="o">.</span><span class="n">surface_functions</span><span class="o">.</span><span class="n">gyroid</span><span class="p">,</span>
<span class="n">density</span><span class="o">=</span><span class="mf">0.5</span><span class="p">,</span> <span class="c1"># 50% density</span>
<span class="n">cell_size</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span>
<span class="n">repeat_cell</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span>
<span class="n">resolution</span><span class="o">=</span><span class="mi">20</span>
<span class="p">)</span>
<span class="n">gyroid_50</span><span class="o">.</span><span class="n">sheet</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">color</span><span class="o">=</span><span class="s1">'white'</span><span class="p">)</span>
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</section>
<section id="spherical-tpms">
<h3>Spherical TPMS<a class="headerlink" href="#spherical-tpms" title="Link to this heading"></a></h3>
<p>Create TPMS on a spherical coordinate system:</p>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">spherical_gyroid</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">SphericalTpms</span><span class="p">(</span>
<span class="n">radius</span><span class="o">=</span><span class="mf">2.0</span><span class="p">,</span>
<span class="n">surface_function</span><span class="o">=</span><span class="n">microgen</span><span class="o">.</span><span class="n">surface_functions</span><span class="o">.</span><span class="n">gyroid</span><span class="p">,</span>
<span class="n">offset</span><span class="o">=</span><span class="mf">0.3</span><span class="p">,</span>
<span class="n">cell_size</span><span class="o">=</span><span class="mf">0.5</span><span class="p">,</span>
<span class="n">repeat_cell</span><span class="o">=</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="c1"># 0 = auto-fill to complete sphere</span>
<span class="n">resolution</span><span class="o">=</span><span class="mi">20</span>
<span class="p">)</span>
<span class="n">spherical_gyroid</span><span class="o">.</span><span class="n">sheet</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">color</span><span class="o">=</span><span class="s1">'white'</span><span class="p">)</span>
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<section id="cylindrical-tpms">
<h3>Cylindrical TPMS<a class="headerlink" href="#cylindrical-tpms" title="Link to this heading"></a></h3>
<p>Create TPMS on a cylindrical coordinate system:</p>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">cylindrical_gyroid</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">CylindricalTpms</span><span class="p">(</span>
<span class="n">radius</span><span class="o">=</span><span class="mf">1.5</span><span class="p">,</span>
<span class="n">surface_function</span><span class="o">=</span><span class="n">microgen</span><span class="o">.</span><span class="n">surface_functions</span><span class="o">.</span><span class="n">gyroid</span><span class="p">,</span>
<span class="n">offset</span><span class="o">=</span><span class="mf">0.3</span><span class="p">,</span>
<span class="n">cell_size</span><span class="o">=</span><span class="mf">0.5</span><span class="p">,</span>
<span class="n">repeat_cell</span><span class="o">=</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">3</span><span class="p">),</span> <span class="c1"># 0 = auto-fill circumference</span>
<span class="n">resolution</span><span class="o">=</span><span class="mi">20</span>
<span class="p">)</span>
<span class="n">cylindrical_gyroid</span><span class="o">.</span><span class="n">sheet</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">color</span><span class="o">=</span><span class="s1">'white'</span><span class="p">)</span>
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</section>
<section id="d-operations">
<h2>3D Operations<a class="headerlink" href="#d-operations" title="Link to this heading"></a></h2>
<section id="repeat">
<h3>Repeat<a class="headerlink" href="#repeat" title="Link to this heading"></a></h3>
<p>Repeat a shape in a grid pattern:</p>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span><span class="w"> </span><span class="nn">microgen</span>
<span class="kn">import</span><span class="w"> </span><span class="nn">pyvista</span><span class="w"> </span><span class="k">as</span><span class="w"> </span><span class="nn">pv</span>
<span class="c1"># Create a sphere</span>
<span class="n">sphere</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Sphere</span><span class="p">(</span><span class="n">center</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span> <span class="n">radius</span><span class="o">=</span><span class="mf">0.15</span><span class="p">)</span>
<span class="n">sphere_cad</span> <span class="o">=</span> <span class="n">sphere</span><span class="o">.</span><span class="n">generate_cad</span><span class="p">()</span>
<span class="c1"># Create RVE (Representative Volume Element)</span>
<span class="n">rve</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Rve</span><span class="p">(</span><span class="n">dim</span><span class="o">=</span><span class="p">(</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">))</span>
<span class="c1"># Repeat the sphere in a 3x3x3 grid</span>
<span class="n">repeated</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">repeat_shape</span><span class="p">(</span>
<span class="n">unit_geom</span><span class="o">=</span><span class="n">sphere_cad</span><span class="p">,</span>
<span class="n">rve</span><span class="o">=</span><span class="n">rve</span><span class="p">,</span>
<span class="n">grid</span><span class="o">=</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">3</span><span class="p">)</span>
<span class="p">)</span>
<span class="c1"># Export to STL</span>
<span class="n">repeated</span><span class="o">.</span><span class="n">export_stl</span><span class="p">(</span><span class="s2">"repeated.stl"</span><span class="p">)</span>
<span class="c1"># Visualize</span>
<span class="n">plotter</span> <span class="o">=</span> <span class="n">pv</span><span class="o">.</span><span class="n">Plotter</span><span class="p">()</span>
<span class="n">plotter</span><span class="o">.</span><span class="n">add_mesh</span><span class="p">(</span><span class="n">pv</span><span class="o">.</span><span class="n">read</span><span class="p">(</span><span class="s2">"repeated.stl"</span><span class="p">))</span>
<span class="n">plotter</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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</section>
<section id="raster">
<h3>Raster<a class="headerlink" href="#raster" title="Link to this heading"></a></h3>
<p>Raster a phase to create a periodic pattern:</p>
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<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span><span class="w"> </span><span class="nn">microgen.cad</span><span class="w"> </span><span class="kn">import</span> <span class="n">make_compound_from_solids</span>
<span class="c1"># Create ellipsoid and convert to OCCT shape</span>
<span class="n">ellipsoid</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Ellipsoid</span><span class="p">(</span>
<span class="n">center</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span>
<span class="n">radii</span><span class="o">=</span><span class="p">(</span><span class="mf">0.15</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">,</span> <span class="mf">0.08</span><span class="p">)</span>
<span class="p">)</span>
<span class="n">ellipsoid_cad</span> <span class="o">=</span> <span class="n">ellipsoid</span><span class="o">.</span><span class="n">generate_cad</span><span class="p">()</span>
<span class="n">phase</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Phase</span><span class="p">(</span><span class="n">shape</span><span class="o">=</span><span class="n">ellipsoid_cad</span><span class="p">)</span>
<span class="c1"># Define RVE</span>
<span class="n">rve</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Rve</span><span class="p">(</span><span class="n">dim</span><span class="o">=</span><span class="p">(</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">))</span>
<span class="c1"># Raster the phase</span>
<span class="n">rastered</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">raster_phase</span><span class="p">(</span>
<span class="n">phase</span><span class="o">=</span><span class="n">phase</span><span class="p">,</span>
<span class="n">rve</span><span class="o">=</span><span class="n">rve</span><span class="p">,</span>
<span class="n">grid</span><span class="o">=</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span>
<span class="p">)</span>
<span class="c1"># Compose a compound from all rastered solids and export to STL</span>
<span class="n">compound</span> <span class="o">=</span> <span class="n">make_compound_from_solids</span><span class="p">(</span>
<span class="n">solid</span> <span class="k">for</span> <span class="n">p</span> <span class="ow">in</span> <span class="n">rastered</span> <span class="k">for</span> <span class="n">solid</span> <span class="ow">in</span> <span class="n">p</span><span class="o">.</span><span class="n">solids</span>
<span class="p">)</span>
<span class="n">compound</span><span class="o">.</span><span class="n">export_stl</span><span class="p">(</span><span class="s2">"rastered.stl"</span><span class="p">)</span>
<span class="c1"># Visualize</span>
<span class="n">plotter</span> <span class="o">=</span> <span class="n">pv</span><span class="o">.</span><span class="n">Plotter</span><span class="p">()</span>
<span class="n">plotter</span><span class="o">.</span><span class="n">add_mesh</span><span class="p">(</span><span class="n">pv</span><span class="o">.</span><span class="n">read</span><span class="p">(</span><span class="s2">"rastered.stl"</span><span class="p">),</span> <span class="n">color</span><span class="o">=</span><span class="s1">'white'</span><span class="p">)</span>
<span class="n">plotter</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
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<div class="output stream highlight-none notranslate"><div class="highlight"><pre><span></span>[33;1mWarning: 1 face has been skipped due to null triangulation[0m
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</section>
</section>
<section id="meshing">
<h2>Meshing<a class="headerlink" href="#meshing" title="Link to this heading"></a></h2>
<section id="regular-mesh-with-gmsh">
<h3>Regular Mesh with Gmsh<a class="headerlink" href="#regular-mesh-with-gmsh" title="Link to this heading"></a></h3>
<p>Generate a tetrahedral mesh using Gmsh:</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="kn">import</span><span class="w"> </span><span class="nn">microgen</span>
<span class="c1"># Create a TPMS geometry</span>
<span class="n">gyroid</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Tpms</span><span class="p">(</span>
<span class="n">surface_function</span><span class="o">=</span><span class="n">microgen</span><span class="o">.</span><span class="n">surface_functions</span><span class="o">.</span><span class="n">gyroid</span><span class="p">,</span>
<span class="n">offset</span><span class="o">=</span><span class="mf">0.3</span><span class="p">,</span>
<span class="n">resolution</span><span class="o">=</span><span class="mi">20</span>
<span class="p">)</span>
<span class="n">shape</span> <span class="o">=</span> <span class="n">gyroid</span><span class="o">.</span><span class="n">generate_cad</span><span class="p">(</span><span class="n">type_part</span><span class="o">=</span><span class="s1">'sheet'</span><span class="p">)</span>
<span class="c1"># Export to STEP file first</span>
<span class="n">shape</span><span class="o">.</span><span class="n">export_step</span><span class="p">(</span><span class="s1">'gyroid.step'</span><span class="p">)</span>
<span class="c1"># Create mesh from STEP file</span>
<span class="n">microgen</span><span class="o">.</span><span class="n">mesh</span><span class="p">(</span>
<span class="n">mesh_file</span><span class="o">=</span><span class="s1">'gyroid.step'</span><span class="p">,</span>
<span class="n">size</span><span class="o">=</span><span class="mf">0.1</span><span class="p">,</span>
<span class="n">order</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span>
<span class="n">output_file</span><span class="o">=</span><span class="s1">'gyroid_mesh.msh'</span>
<span class="p">)</span>
</pre></div>
</div>
</section>
<section id="periodic-mesh">
<h3>Periodic Mesh<a class="headerlink" href="#periodic-mesh" title="Link to this heading"></a></h3>
<p>Generate a periodic mesh suitable for homogenization:</p>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="c1"># Create geometry</span>
<span class="n">gyroid</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Tpms</span><span class="p">(</span>
<span class="n">surface_function</span><span class="o">=</span><span class="n">microgen</span><span class="o">.</span><span class="n">surface_functions</span><span class="o">.</span><span class="n">gyroid</span><span class="p">,</span>
<span class="n">offset</span><span class="o">=</span><span class="mf">0.3</span><span class="p">,</span>
<span class="n">cell_size</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span>
<span class="n">resolution</span><span class="o">=</span><span class="mi">20</span>
<span class="p">)</span>
<span class="n">shape</span> <span class="o">=</span> <span class="n">gyroid</span><span class="o">.</span><span class="n">generate_cad</span><span class="p">(</span><span class="n">type_part</span><span class="o">=</span><span class="s1">'sheet'</span><span class="p">)</span>
<span class="c1"># Create a phase from the shape</span>
<span class="n">phase</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Phase</span><span class="p">(</span><span class="n">shape</span><span class="o">=</span><span class="n">shape</span><span class="p">)</span>
<span class="c1"># Export to STEP file first</span>
<span class="n">shape</span><span class="o">.</span><span class="n">export_step</span><span class="p">(</span><span class="s1">'gyroid.step'</span><span class="p">)</span>
<span class="c1"># Create periodic mesh</span>
<span class="n">microgen</span><span class="o">.</span><span class="n">mesh_periodic</span><span class="p">(</span>
<span class="n">mesh_file</span><span class="o">=</span><span class="s1">'gyroid.step'</span><span class="p">,</span>
<span class="n">rve</span><span class="o">=</span><span class="n">microgen</span><span class="o">.</span><span class="n">Rve</span><span class="p">(</span><span class="n">dim</span><span class="o">=</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">)),</span>
<span class="n">list_phases</span><span class="o">=</span><span class="p">[</span><span class="n">phase</span><span class="p">],</span>
<span class="n">size</span><span class="o">=</span><span class="mf">0.05</span><span class="p">,</span>
<span class="n">order</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span>
<span class="n">output_file</span><span class="o">=</span><span class="s1">'gyroid_periodic.msh'</span>
<span class="p">)</span>
</pre></div>
</div>
</section>
<section id="remeshing-with-mmg">
<h3>Remeshing with Mmg<a class="headerlink" href="#remeshing-with-mmg" title="Link to this heading"></a></h3>
<p>Refine or adapt an existing mesh using Mmg:</p>
<div class="admonition note">
<p class="admonition-title">Note</p>
<p>Mmg must be installed separately to use remeshing features.</p>
</div>
<div class="highlight-python notranslate"><div class="highlight"><pre><span></span><span class="c1"># Use Mmg for remeshing</span>
<span class="n">mmg</span> <span class="o">=</span> <span class="n">microgen</span><span class="o">.</span><span class="n">Mmg</span><span class="p">(</span>
<span class="n">input_mesh</span><span class="o">=</span><span class="s1">'input.mesh'</span><span class="p">,</span>
<span class="n">output_mesh</span><span class="o">=</span><span class="s1">'output.mesh'</span><span class="p">,</span>
<span class="n">hausd</span><span class="o">=</span><span class="mf">0.01</span><span class="p">,</span> <span class="c1"># Hausdorff distance</span>
<span class="n">hmin</span><span class="o">=</span><span class="mf">0.01</span><span class="p">,</span> <span class="c1"># Minimum edge size</span>
<span class="n">hmax</span><span class="o">=</span><span class="mf">0.1</span> <span class="c1"># Maximum edge size</span>
<span class="p">)</span>
<span class="n">mmg</span><span class="o">.</span><span class="n">run</span><span class="p">()</span>
</pre></div>
</div>
</section>
</section>
<section id="further-resources">