Square duocomb

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Square duocomb
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol{4,4∣4}
Elements
Faces16 squares
Edges32
Vertices16
Vertex figureSkew square, edge length 2, length 2 between opposite vertices
Petrie polygons8 octagonal-octagrammic coils
Holes16 squares
Measures (edge length 1)
Surface area16
Dihedral angle
Related polytopes
ArmyTes
RegimentTes
DualSquare duocomb
Petrie dualPetrial square duocomb
HalvingHalved square duocomb
Abstract & topological properties
Flag count128
Euler characteristic0
Schläfli type{4,4}
SurfaceFlat torus
OrientableYes
Genus1
Properties
Flag orbits1
ConvexNo
Dimension vector(3,2,3)

The square duocomb is a regular skew polyhedron found within four-dimensional Euclidean space. It can be formed as the comb product of two squares, or the from the extended Schläfli symbol {4,4∣4}. It has 16 square faces, 32 edges, and 16 vertices. It is a self-dual polyhedron.

Vertex coordinates[edit | edit source]

The square duocomb shares its vertices and edges with the tesseract, so its coordinates are

  • .

Related polytopes[edit | edit source]

The square duocomb appears as the facet of the Petrial tesseract, which is a regular skew polychoron.

External links[edit | edit source]