Tool
Koch playground
Four variants of the Koch construction: classic snowflake (outward bumps from a triangle), anti-snowflake (inward bumps), the open Koch curve, and the quadratic Koch with square-pulse bumps.
Subdivision rule
Seed: equilateral triangle traversed counter-clockwise.
Each segment AB becomes 4 sub-segments by inserting an
outward equilateral bump in the middle third:
A → A+(B−A)/3 → apex → A+2(B−A)/3 → B
4 self-similar copies at scale 1/3 → dim = log 4 / log 3 ≈ 1.262Hausdorff dimension: log 4 / log 3 ≈ 1.262
Background at /fractals/koch-snowflake.
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