Python Math Projects

MAKE MATH INTERACTIVE! A collection of six Python projects for exploring coordinate transformations, triangles, matrices, number theory, series, and distances between lines. These started as school math projects and smaller experiments. I brought the working ideas together here, fixed calculation and input problems, and kept one version of each project instead of uploading every duplicate.

Three projects use a Tkinter window. The other three run in your terminal.

Projects

Project	Interface	What it does
Coordinate Transformations	Tkinter	Draw line segments on a grid, rotate, reflect, translate, change colors, draw a square, and follow a tutorial.
Triangle Angle Calculator	Tkinter	Find the third angle, calculate side lengths using a reference base and the sine rule, and draw the triangle.
Matrix Calculator	Terminal	Add, subtract, multiply, scale, find determinants, reset, transpose, and invert matrices.
Parallel Line Distance	Tkinter	Calculate the shortest distance between two parallel lines in standard form.
LCM Calculator	Terminal	Find the least common multiple of any list of integers.
Arithmetic Series	Terminal	Calculate a sum of terms of the form a*i + b over an inclusive integer range.

Setup

Install Python 3.10 or newer. Tkinter normally comes with Windows and macOS Python installations; some Linux distributions require a separate package such as python3-tk.

Download the repository and open a terminal in its folder.

pip install -r requirements.txt

Only the matrix project uses an external pip library (NumPy). The other five projects use Python's standard library.

1. Coordinate Transformations

Run:

python coordinate_transformations.py

Enter the first point (x1, y1) and second point (x2, y2), then click Submit to draw a line segment. Empty coordinate boxes default to zero. You can draw multiple segments and transform them together.

Features include:

• Rotate by -90°, 90°, 180°, 270°, or -270°.
• Move shapes one unit up, down, left, or right.
• Reflect over the vertical (Y) axis with V, or the horizontal (X) axis with H.
• Select green, gold, or purple for new segments; clear everything; or add a square.
• Press ? for the illustrated, step-by-step tutorial. Next and Previous stop at the ends.

The diagram uses a fixed-size coordinate grid, so very large coordinates may fall outside the visible graph.

2. Triangle Angle Calculator

Run:

python triangle_calculator.py

Enter two angles, A and B, plus the reference base length c (the side connecting vertices A and B). The program finds angle C, calculates sides a and b using the sine rule, and draws a triangle that fits the window.

Why the base length matters: Two angles determine a triangle's shape, but not its absolute side lengths. The chosen base supplies the scale. All angles must be positive and add to less than 180°.

3. Matrix Calculator

Run:

python matrix_calculator.py

Enter matrices A and B, one row at a time, with numbers separated by spaces. Select a numbered operation from the menu:

• Addition and subtraction (same dimensions required).
• Matrix multiplication in either order, A × B or B × A (compatible dimensions required).
• Scalar multiplication and determinant.
• Reset either matrix without restarting the program.
• Transpose or inverse (an inverse only exists for a nonsingular square matrix).

Invalid entries can be corrected without restarting.

4. Parallel Line Distance

Run:

python parallel_line_distance.py

This program works for two parallel lines written as:

A*x + B*y + C1 = 0
A*x + B*y + C2 = 0

It uses the distance formula:

Distance = |C1 - C2| / sqrt(A² + B²)

A and B must be the same for both equations and cannot both equal zero. The result updates when you press Calculate. The original calculator's less-explicit yes/no input has been replaced by named coefficients.

5. LCM Calculator

Run:

python lcm_calculator.py

Enter integers separated by spaces or commas, for example:

6 3 14 56

Result: LCM = 168. Press Enter without typing to use this example. This version calculates the true LCM rather than searching multiples inside a fixed range.

6. Arithmetic Series

Run:

python arithmetic_series.py

Choose the starting and ending integer, and the coefficients a and b in a*i + b.

The default example matches the original script: add 4*i + 2 for i = 3 through 10, giving 224.

Run the tests

python -m unittest discover -s tests -v

These tests cover the numerical calculations and coordinate transformation formulas. GUI windows were also checked for startup and basic interactions, but appearance may differ across Windows, macOS, and Linux.

About this repository

This repository collects distinct math programs from older school assignments and experiments, rather than several nearly identical drafts of the same graphing tool. See Original File Map for the names of the versions that were combined and a summary of corrections.

All programs run locally. No account, cloud upload, or web service is required.