Re: Fractal Sponges of Arbitrary Dimension 2 =< D =< 3

Definition of D_3 group:
http://mathserver.sdu.edu.cn/mathency/math/f/f146.htm


Finite Group D3 like Menger Prism:
Picture 6 Equilateral prisms: each top triangles and sides squares.
http://rolynoptics.thomasnet.com/Asset/0000071357_008.jpg
stack three of the same om top of that
and then a layer of 6 again.
To male a similar prism containing 15 prisms.

Then divide each of the prisms into 27 parts
and remove the middle so that each has again 15 parts.
Repeat for levels.

Essentually it is the same as the cubes with the Equilateral Prisms instead.