Compound of four tetrahedra

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.

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