Nuh huh, a icosohedron has 20 regular triangular faces. The greatdodecahedron has 12 intersecting pentagonal faces.
Yes, I know this. However:
These are the same basic shape, and they are both icosohedrons. The one of the left has 20 regular triangular faces. So does the one on the right. I can see them. You could move the image on the right over the one on the left and every line would match up, every angle would match up. They are the same shape. The indents in the one on the right are a smokescreen, and don't change the fact that the faces that make the shape are all triangles and there are 20 of them.
Hmm, ok I've just read the wiki entry and it does claim it has pentagons. This does not match the evidence of my eyes, though. Those are triangles. What trickery is going on here?
Edited by David Meadows, 11 March 2012 - 12:04 AM.