Tagged “geometry”

2 essays.

1. Bézier curves are just weighted averages

   April 12, 2026 · 3 min

   The smooth curve behind every font and vector drawing is nothing more grand than averaging, done over and over. A companion to the Bézier toy, on de Casteljau's construction and why the curve stays inside its own cage.

2. What π actually measures

   March 1, 2026 · 3 min

   π turns up in a dart game that has no circles drawn on it, only counted. A companion to the Monte-Carlo toy, on area as probability, and why getting one more decimal costs a hundred times the effort.