Pipeline geometry: axes + geometry lab (patterns, angle, pan)#11
Merged
Conversation
- log: u = log|z−c| (X, period logS marker) and v = arg(z−c) (Y, 2π). - rotated log: u′/v′ axes plus the original log u-axis drawn dashed at its tilt β (visualises what the rotation does). SVG overlay with a dark drop-shadow halo so the amber axes read over any image region. Escher panel has none (it's the spiral, not a cartesian map). Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Three experiments for understanding the Droste → Escher geometry, behind a "geometry lab" control strip in the pipeline view: - Test patterns (test-patterns.ts): generated polar grid (concentric circles + radial spokes) and cartesian grid, loadable from the DropZone and the lab strip. A centred square nest puts the limit point at the image centre, so the polar pattern maps to a clean cartesian grid in the log panel (rings → vertical lines, spokes → horizontal lines) and to the spiral grid in the tententoon — the clearest view of what the transform does. - Rotation/twist angle override (idea 3): a γ slider re-tilts the rotated-log and sets the tententoon twist k = tan γ. Only the canonical β closes the spiral up with the Droste scale; other angles over/under-twist visibly. - Pan (idea 2): drag the rotated-log panel; the log-space pan δ = R(−γ)·drag zooms (u) and rotates (v) the tententoon. Shows the tententoon is exp() of the strip. Wired via new GL uniforms (u_rot, u_kTwist, u_pan), defaulting to canonical so non-lab rendering is unchanged. Experimental — for evaluation, not yet linked from the main UI beyond the pipeline view. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
- The CPU pure functions now take the same pan/rot/kTwist options as the GL shader (default canonical), so the geometry-lab controls behave identically on the WebGL2 fallback path — and the math is unit-tested. - Reset the lab pan/angle when a new image loads, so the pipeline view never opens with a stale transform. - Tests: k=0 removes the twist; a v-pan shifts the log panel while staying fully opaque (no black). Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
1 participant
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
Builds on the 4-panel pipeline view to make the Droste → Escher geometry legible and explorable.
X/Y axes (log + rotated-log)
u = log|z−c|(X, periodlogS) andv = arg(z−c)(Y, 2π).u′/v′axes + the original log u-axis drawn dashed at its tilt β. SVG overlay with a dark halo for contrast.Geometry lab (pipeline view control strip)
k = tan γ; the β button snaps back to canonical. Shows why only β closes the spiral up with the Droste scale.δ = R(−γ)·dragzooms (u) and rotates (v) the tententoon.Implementation
u_rot,u_kTwist,u_pan(default canonical, so non-lab rendering is unchanged). The CPU pure functions take matchingPanelOpts, so GPU/CPU agree and the lab math is unit-tested.Tests 22/22,
svelte-checkclean. Preview: https://geometry-lab.tententoon.pages.dev🤖 Generated with Claude Code