p6 and p6m Snowflakes

Here are three snowflakes generated using 2 of the 17 two dimensional space groups, p6 and p6m. The term "two dimensional space group" is a crystallographic one; in other fields they are called the plane groups or wallpaper patterns. P6 and p6m are the only two dimensional space groups which have 6 fold rotation axes and are therefore suitable for making snow flakes.

The openSCAD code uses the equivalent positions of p6 and p6m to place hexagons within a unit cell. P6 has 6 equivalent positi