Antitruncated octahedron

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Antitruncated octahedron
Rank3
TypeSemi-uniform
Elements
Faces6 squares, 8 tripods
Edges12+24
Vertices24
Measures (edge length 1)
Central density1
Related polytopes
ArmyToe
DualAntiapiculated cube
Convex coreOctahedron
Abstract & topological properties
OrientableYes
Properties
ConvexNo
NatureTame

The antitruncated octahedron or inflected truncated octahedron is a semi-uniform polyhedron. It consists of 6 squares and 8 tripods. It has 1 square and 2 tripods at a vertex, and an isosceles triangle as a vertex. It is both the anitruncation (or inflected truncation) of the octahedron and a faceting of the truncated octahedron.

Vertex coordinates[edit | edit source]

The coordinates of the antitruncated octahedron are the same as the truncated octahedron, being all permutations of

Variations[edit | edit source]

The antitruncated octahedron is part of a teepee where the squares are resized.