Thread: Tetra Math
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Unread 09-01-2005, 00:31
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Tetra Math

Not that you all couldn't figure this out on your own, but I'll spare you the effort:

For a tetrahedron with side of length x:

distance from midpoint of one side to opposite corner of same face (base altitude): sqrt(3)*x/2

distance from midpoint of one side to the horizontal center of the tetra (below the top point): sqrt(3)*x/6 (1/3 total length of base altitude)

distance from any base point to the horizontal center of the tetra (below the top point): sqrt(3)*x/3 (2/3 total length of base altitude)

height of tetra: sqrt(2/3)*x
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