Petrial alternative tesseract

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Petrial alternative tesseract
Rank4
Dimension4
TypeRegular
Elements
Cells3 kappa square duocombs
Edges32
Vertices16
Vertex figurePetrial tetrahedron
Related polytopes
Petrie dualAlternative tesseract
κ ?Petrial tesseract
Convex hullTesseract
Abstract & topological properties
Flag count384
Euler characteristic5
Schläfli type{4,4,3}
OrientableNo
Properties
SymmetryB4, order 384
ConvexNo
Dimension vector(1,2,3,3)

The Petrial alternative tesseract is a regular skew polychoron of full rank. It is the Petrial of the alternative tesseract and the 4-dimensional kappa of the Petrial tesseract. It is both locally toroidal and locally projective

Vertex coordinates[edit | edit source]

The vertex coordinates of the Petrial alternative tesseract are the same as those of the alternative tesseract.