Mathematics Articles
Curated visual mathematics articles, from geometry to analysis — understand the beauty of math intuitively.
Weitzenböck's Inequality
An elegant dialogue between triangle side lengths and area — from geometric intuition to rigorous proof.
Penrose Aperiodic Tiling
Two simple rhombuses, one magical matching rule — tiling the entire plane without ever repeating.
Geometric Intuition of Divergence
From a tiny box's 'in-and-out accounting' to ∇·F — visualize divergence step by step.
Least Squares Method
How to draw the 'best' straight line through scattered points? Derive least squares from scratch — visualize and compute as you go.
The Math Behind Your Graphics Card
From triangle vertices to screen pixels — a complete mathematical journey through the GPU rendering pipeline: matrix transforms, homogeneous coordinates, perspective projection, and rasterization.