Snowflake Maths -

Introduce anisotropy in surface energy: [ \gamma(\theta) = \gamma_0 (1 + \epsilon \cos(6\theta)) ] The growth velocity becomes: [ v(\theta) \propto \gamma(\theta) + \gamma''(\theta) ] This explains why real snowflakes grow primary arms exactly at 60° intervals.

Divide each side into three equal segments. Replace the middle segment with a smaller equilateral triangle pointing outward, then remove the original middle segment. Infinity: Repeat this process infinitely. The Math of the Fractal: snowflake maths