Considering the midpoints of edges of the tetrahedron leads to the octahedron! So the only interesting modification is truncating the tetrahedron:
doubly truncated tetrahedron |
midpoints of edges of truncated tetrahedron |
dual of the truncated tetrahedron |
We also have a sensitive map of these and other relations.
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Last updated: August 6, 1999, Evi Haberberger