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.
Won't work. I tried doing that with a Magnetix kit, and the
results
weren't encouraging: [...JPGs...]
Interesting. I *thought* the face-to-face angle of an icosahedron was
more than twice that of a tetrahedron. I need to do a careful
working-out of it, I guess.
Thanks for the correction, and apologies for the misinformation.
/~\ The ASCII der Mouse
\ / Ribbon Campaign
X Against HTML mouse at rodents.montreal.qc.ca
/ \ Email! 7D C8 61 52 5D E7 2D 39 4E F1 31 3E E8 B3 27 4B