30 Jun
2007
30 Jun
'07
8:27 p.m.
der Mouse wrote:
(Now with link)
http://www.sentex.ca/~mwandel/built/insane.html
Then yes, there's no reason you couldn't take
20 tetrahedra and
position them so as to result in something that's basically a
tetrahedron constructed, inward-pointing, on each face of an
icosahedron. (It might not be all that easy to realize physically, but
that's a separate issue.)
You lost me years ago, but all this talk of constructing uncommon
geometric shapes reminds me a good use of a physical one. *
You could, of course, use non-regular tetrahedra
formed such that each
one can be described as three vertices plus the centre of an
icosahedron; then they'd fit snugly (but not be good for much else).
Mathematical Games from Scientific American , years ago a had a good
bit about packing n-dimension spheres. You get several paradoxs with
that.
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* When causing trouble by walking on your keys.