Tetrahemihexacron

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Tetrahemihexacron
Tetrahemihexacron.png
Rank3
TypeUniform dual
SpaceSpherical
Notation
Coxeter diagram(m3/2o3m)/2
Elements
Faces6
Edges12
Vertices4+3
Vertex figure3 squares, 4 triangles
Related polytopes
DualTetrahemihexahedron
Convex coreCube
Abstract & topological properties
Euler characteristic1
OrientableNo
Genus1
Properties
SymmetryA3, order 24
ConvexNo
NatureTame

The tetrahemihexacron is the dual of the tetrahemihexahedron. Because the latter polyhedron has three faces going through its middle, three of the tetrahemihexacron's vertices are at an ideal points infinitely far away from the origin (in projective space). This is usually represented in images and models by prisms extending an arbitrarily long distance.

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