Apeir 5-cell

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Apeir 5-cell
Rank5
Dimension4
TypeRegular
Elements
Facetsblended apeir tetrahedra
CellsPetrial blended hexagonal tilings
Faceszigzags
Edges
Vertices
Vertex figure5-cell
Abstract & topological properties
Flag count
Schläfli type{∞,3,3,3}
OrientableYes
Properties
Flag orbits1
ConvexNo
Dimension vector(0,3,3,3,3)

The apeir 5-cell is a regular skew honeycomb of 4-dimensional Euclidean space. It can be constructed as the apeir of the 5-cell.

Vertex coordinates[edit | edit source]

Bibliography[edit | edit source]

  • McMullen, Peter (2004). "Regular Polytopes of Full Rank" (PDF). Discrete Computational Geometry.