Dyadic gyrotegmipucofastegium

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Dyadic gyrotegmipucofastegium
Rank4
TypeSegmentotope
Notation
Bowers style acronymDygytpuf
Coxeter diagramxxo oxx oxo&#xt
Elements
Cells4+4 triangular prisms, 4 square pyramids
Faces8+8 triangles, 2+4+8 squares
Edges2+4+8+16
Vertices4+8
Vertex figures4 square pyramids, edge lengths 1 (base) and 2 (legs)
 8 notches, edge lengths 1 (3) and 2 (6)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesSquippy–4–trip:
 Trip–4–trip:
 Squippy–3–trip: 390º
Height
Central density1
Related polytopes
ArmyDygytpuf
RegimentDygytpuf
ConjugateNone
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB2×A1×A1+_, order 16
ConvexYes
NatureTame

The dyadic gyrotegmipucofastegium, or dygytpuf, is a CRF segmentochoron (designated K-4.13 on Richard Klitzing's list). It consists of 8 triangular prisms and 4 square pyramids.

It is a segmentochoron between a triangular prism and a reflected orthogonal triangular prism.

This polychoron can be dissected into two square pyramidal prisms along an equatorial cube. It is a gyration of the octahedral prism, such that the two opposite edges are perpendicular, as opposed to how they would be parallel in the octahedral prism. This gyration thus splits the octahedral bases into square pyramids.

Vertex coordinates[edit | edit source]

Coordinates of the vertices of a dyadic gyrotegmipucofastegium of edge length 1 centered at the origin are given by:

External links[edit | edit source]