Tetrahedral vs. Cube Symmetries
(Tetrahedron inscribed in cube)
The above figure graphically demonstrates that the symmetry group of the
tetrahedron (Td) is a sub-group of the symmetry group of the
That is, any rotation, reflection, etc., which takes the tetrahedron into
itself necessarily takes the cube into itself, but not vice versa!
© 1999 R. J. Hauenstein