The Truncated tetrahedron reference article from the English Wikipedia on 24-Jul-2004 (provided by Fixed Reference: snapshots of Wikipedia from wikipedia.org)

Truncated tetrahedron

Truncated tetrahedron
Click on picture for large version. Click for spinning version.
Type	Archimedean
Faces	4 triangles 4 hexagons
Edges	18
Vertices	12
Vertex configuration	3,6,6
Symmetry group	tetrahedral (Td)
Dual polyhedron	triakis tetrahedron
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 a truncated tetrahedron is in Albrecht Durer's engraving, "Melencolia I". See illustration at entry Melancholy.

See also

• octahedron
• tetrahedron

External links

• The Uniform Polyhedra
• Virtual Reality Polyhedra The Encyclopedia of Polyhedra

This is the "Truncated tetrahedron" reference article from the English Wikipedia. All text is available under the terms of the GNU Free Documentation License. See also our Disclaimer.