Vito Prosciutto: Teaching community college math on the road to a PhD.

Thursday, September 15, 2005

Proof that tetrahedron with side length n can be composed of n^3 tetrahedrons with side length 1 

Anyone know a quick and easy version of this? That the volume of the tetrahedron will be sqrt2/12n3 while the smaller tetrahedrons have volume sqrt2/12 is a nice start, it only establishes the plausibility, and not the actual constructibility (after all, I can say the same thing about, e.g., a sphere but I can't take 27 spheres with radius 1 and make a sphere of radius 3 out of them).

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