Petrial muoctahedron

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Petrial muoctahedron
Rank3
Notation
Schläfli symbol
[1]
Elements
Faces triangular helices
Edges
Vertices
Vertex figureSkew square
Petrie polygonsHexagons
Related polytopes
ArmyBitruncated cubic honeycomb
RegimentBitruncated cubic honeycomb
Petrie dualMuoctahedron
Abstract properties
Flag count
Schläfli type{∞,4}
Topological properties
OrientableYes
Properties
ConvexNo
A section of the muoctahedron with a Petrie polygon highlighted in red.

The Petrial muoctahedron is a regular skew apeirohedron in 3 dimensional Euclidean space. It is the Petrie dual of the muoctahedron.

External links[edit | edit source]

References[edit | edit source]

Bibliography[edit | edit source]

  • McMullen, Peter; Schulte, Egon (1997). "Regular Polytopes in Ordinary Space" (PDF). Discrete Computational Geometry (47): 449–478. doi:10.1007/PL00009304.