Petrial 24-cell honeycomb

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Petrial 24-cell honeycomb
Rank5
Dimension4
TypeRegular
SpaceEuclidean
Notation
Schläfli symbol{3,4,3,3}π
Elements
Facets3 {{3,4},{4,4∣4}}
Cellsoctahedra
Facestriangles
Edges
Vertices
Vertex figurePetrial tesseract
Related polytopes
ArmyIcot
RegimentIcot
CompanyIcot
Petrie dual24-cell honeycomb
Abstract & topological properties
Schläfli type{3,4,4,3}
OrientableNo
Properties
Flag orbits1
ConvexNo
Dimension vector(3,3,2,3,3)

The Petrial 24-cell honeycomb, or Petrial icositetrachoric tetracomb, is a regular skew tetracomb of full rank. It is the Petrial of the 24-cell honeycomb. It is one of eight regular 5-polytopes of full rank with a Petrial, there are no regular polytopes of full rank with a petrial for ranks 6 and beyond.

Vertex coordinates[edit | edit source]

The vertex coordinates of the Petrial 24-cell honeycomb are the same as those of its Petrial.

Bibliography[edit | edit source]

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