Tetrahedral-octahedral honeycomb alterprism

From Polytope Wiki
Jump to navigation Jump to search
Tetrahedral-octahedral honeycomb alterprism
Rank5
TypeScaliform
SpaceEuclidean
Notation
Coxeter diagramxo3oo3ox *b4oo &#x
Elements
Tera2 tetrahedral-octahedral honeycombs
hexadecachora
octahedral pyramids
Cellstetrahedra of 3 orbits
octahedra
Facestriangles of 2 orbits
Edges2 orbits
Vertices1 orbit
Vertex figureOctahedron atop cuboctahedron
Related polytopes
Army*
Regiment*
Abstract & topological properties
OrientableYes
Properties
ConvexYes
NatureTame

The tetrahedral-octahedral honeycomb alterprism is a scaliform slab honeycomb of 4D Euclidean space. It consists of 2 tetrahedral-octahedral honeycombs connected by hexadecachora and octahedral pyramids. Each vertex joins 1 tetrahedral-octahedral honeycomb, 8 hexadecachora, and 7 octahedral pyramids. It appears as a segment of the hexadecachoric tetracomb.