Koch snowflake
The hexaflake has 7"n"−1 hexagons in its "n"th iteration, each smaller by 1/3 than the hexagons in the previous iteration. Its exterior boundary is the Koch snowflake, and the full boundary contains an infinite number of Koch snowflakes. The Hausdorff dimension of the hexaflake is equal to ln(7)/ln(3), approximately 1.7712. It may also be constructed by projecting the Cantor cube onto the plane orthogonal to its main diagonal.