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In geometry, a compound of four tetrahedra can be constructed by four tetrahedra in a number of different symmetry positions.

One compound can be constructed rotating a tetrahedron by 45 degree turns along an axis of the middle of an edge. It has dihedral symmetry, D4 It has the same vertex arrangement as the convex octagonal prism.
External links

Weisstein, Eric W., "Compound of four tetrahedra", MathWorld.


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