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Truncated Tetrahedron | bgcolor=#e7dcc3 colspan=2|Truncated tetrahedron | lign=center colspan=2|
Click on picture for large version.
Click here for spinning version. | | gcolor=#e7dcc3|Type | Archimedean | | gcolor=#e7dcc3|Faces | 4 triangles
4 hexagons | | gcolor=#e7dcc3|Edges | 18 | | gcolor=#e7dcc3|Vertices | 12 | | gcolor=#e7dcc3|Vertex configuration | 3,6,6 | | gcolor=#e7dcc3|Symmetry group | tetrahedral (Td) | | gcolor=#e7dcc3|Dual polyhedron | triakis tetrahedron | | gcolor=#e7dcc3|Properties | convex, semi-regular (vertex-uniform) | The truncated tetrahedron is an Archimedean solid. Canonical coordinates for the vertices of a truncated tetrahedron centered at the origin are (±3, ±1, ±1), (±1, ±3, ±1), (±1, ±1, ±3), where the ± has the same parity for each coordinate, that is, all coordinates have an even number of minuses (or all have an odd number). It has 4 regular hexagonal faces, 4 regular triangular faces, 12 vertices and 18 edges. A famous depiction of an irregular truncated tetrahedron is in Albrecht Drer's engraving, "Melencolia I". See illustration at entry Melancholy. See also External links
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