For this I used external program: JavaView, that connects with Mathematica and translates the Mathematica's lanuage graphics to it's own. That's why sometimes there's some line, which is "eaten".]]>

How come in the pictures, above the light blue surfaces,

there are only four lines, not five eminating from a center.

Probably just a small error. Really cool though!]]>

sorry and for the space but it's better to understand:]]>

What you have discovered is called "Dual Polyhedra", one of those magical things about the world.

]]>drawing touching pentagons, and cutting and taping it up.

(I did that because I wrote each of the 12 notes of the chromatic scale on each side to make a die (dice) for thinking about random musical intervals)

I thought today, if you make a dot at the center of the 12

pentagons, and connect them together to form edges of

another 3-D figure, you get the twenty sided one made out

of triangles. Then I noticed if you repeat that, and put dots

in the middle of the triangles, you revert back to the original

shape (dodecagon), but it is a reduced size dodecagon.

I wonder how much smaller it is?]]>