Petrial square duocomb

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Petrial square duocomb
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol
  • {4,4∣4}π
  • {8,4}4,4
Elements
Faces8 octagonal-octagrammic coils
Edges32
Vertices16
Vertex figureSkew square, edge length , length between opposite vertices
Petrie polygons16 squares
Holes16 squares
Related polytopes
ArmyTes
RegimentTes
Petrie dualSquare duocomb
Convex hullTesseract
Abstract & topological properties
Flag count128
Euler characteristic-8
Schläfli type{8,4}
OrientableYes
Genus5
Properties
ConvexNo
Dimension vector(2,2,3)

The Petrial square duocomb is a regular skew polyhedron in 4-dimensional Euclidean space.

Vertex coordinates[edit | edit source]

The Petrial square duocomb shares its vertices and edges with the tesseract, so its coordinates are the same as those of the tesseract.

Related polytopes[edit | edit source]

Since the Petrial square duocomb has rational coordinates its apeir, the Petrial apeir square duocomb, is discrete.

External links[edit | edit source]