Antitruncated tetrahedron

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Antitruncated tetrahedron
Rank3
Elements
Faces4 triangles, 4 propeller tripods
Edges12+6
Vertices12
Measures (edge length 1)
Central density1
Related polytopes
ArmySemiuniform ratet
DualAntiapiculated tetrahedron
Convex coreTetrahedron
Abstract & topological properties
Euler characteristic2
OrientableYes
Genus0
Properties
NatureTame

The antitruncated tetrahedron or inflected truncated tetrahedron is a semi-uniform polyhedron. It consists of 4 triangles and 4 propeller tripods. It has 1 triangle and 2 propeller tripods at a vertex, and an isosceles triangle vertex figure. It is the antitruncation of the tetrahedron and a faceting of a nonuniform rhombitetratetrahedron.

Variations[edit | edit source]

Adjusting the size of the triangles in an antitruncated tetrahedron but keeping the distance between them forms a teepee.

Related polyhedra[edit | edit source]

The antitruncated tetrahedron is topologically equivalent to the truncated tetrahedron