CompuServe Messages

#Non Euclydina Geometry

    20-Nov-93 03:19:10
Fm: John Schmidt 71242,2366
To: David Taffet 70473,3052
I looked in a great illustrated dictionary I have today, and under "polyhedron", it actually had pictures of Tetrahedron, (4 triangles), Hexahedron, (6 squares… 'sounds like a "cube" to me <g>), Octahedron, (8 triangles), Dodecahedron, (12 pentagons), and Icosahedron, (20 triangles). It went on to say…"Each of these five regular polyhedrons has identical regular faces and identical angles. There are no other shapes with these properties." So it looks like this might be where the quest ends, although I imagine it might be possible to "fudge" a bit with slightly different size cones or endpoints to end up with more. Anyway, an Icosahedron doesn't look too hard; I'll try to come up with something this weekend, if you think it's busy enough.