Reproducing a geometry theorem diagram using Python and matplotlib, with code for inscribed circles.
Explores the connection between incircles, excircles, and Pythagorean triangles, proving that radii are integers.
Explores Newton's diameter theorem using a fifth-degree polynomial, showing centroids of intersections fall on a line.
Explores Newton's theorem of diameters for algebraic curves, using elliptic curves as an example.
Solving for a parabola through two points with given slopes using conic section constraints.
Explores the hyperbolic analog of Napier's mnemonic for spherical trigonometry, comparing circular and hyperbolic functions.
A tutorial on extracting clean shape perimeters from binary grids using greedy geometry algorithms, with a JavaScript implementation example.
Explains the greedy rectangle merging algorithm for simplifying binary grids into non-overlapping rectangles, with a JavaScript implementation.
A developer details creating a Terraform module for generating domes in Minecraft, enabling architectural builds inspired by Romanesque and neoclassical designs.
A technical exploration solving Langley's Adventitious Angles geometry problem using algebraic field extensions and complex numbers.
A technical guide to calculating sunlight exposure in a garden using solar position algorithms and interactive web tools.
A mathematical exploration of wrapping presents efficiently using geometry and optimization to minimize paper waste.
A mathematical derivation of mirror surface shape from a warped reflection observed at Rome airport.
A physics puzzle about light reflection in scintillating crystals, calculating light transmission and reflection with geometric series.
A mathematical optimization of gift wrapping, using calculus and Lagrange multipliers to minimize paper waste for a cuboid present.
A technical tutorial on using stereographic projection to design 3D-printed lampshades that project custom patterns.
Solving a math interview puzzle about four ants walking towards each other on a square, analyzing their spiral paths and distance traveled.
