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.
