Menger Sponge

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Wikipedia > Menger Sponge

Formally, a Menger sponge can be defined as follows:
A fractal which is the three-dimensional analog of the Sierpiński carpet.
Let;
N_n be the number of filled boxes,
L_n the length of a side of a hole, and
V_n the fractional volume after the nth iteration.

N_n | = | 20^n
L_n | = | (1/3)^n = 3^(-n)
V_n | = | L_n^3 N_n = (20/27)^n.

Fractal Cube > Hausdorf Dimension:
{(log(20))/(log(3))}
= 2.72683...Linkto. Brummbaer>Complicate Box Mandlebulb
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