Truncated tetrahedron

Truncated tetrahedron
Missing image
Truncatedtetrahedron.jpg
Truncated tetrahedron


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TypeArchimedean
Faces4 triangles
4 hexagons
Edges18
Vertices12
Vertex configuration3,6,6
Symmetry grouptetrahedral (Td)
Dual polyhedrontriakis tetrahedron
Propertiesconvex, 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).

Missing image
Truncated_tetrahedron_flat.png
image:truncated tetrahedron flat.png

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 Dürer's engraving, "Melencolia I". See illustration at entry Melancholy.

See also

External links

nl:Afgeknotte tetraëder pl:Czworościan ścięty

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