Great hexadecagonal prismatic blend

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Great hexadecagonal prismatic blend
Rank3
TypeOrbiform
Notation
Bowers style acronymGohadpib
Elements
Faces6 hexadecagrams, 36 squares
Edges24+24+24+48
Vertices24+48
Vertex figures24 (4.16/5.4/3.16/11)
 48 (4.4.16/5)
Measures (edge length 1)
Circumradius
Dihedral angles4-4 (prism laces): 67.5°
 4-16/5 (prism bases): 90°
 4-16/5 (at edges of blended-away squares): 22.5°
Central density15
Related polytopes
ConjugatesSmall hexadecagonal prismatic blend, Medial hexadecagonal prismatic blend, Grand hexadecagonal prismatic blend
Convex coreTetrakis chamfered cube
Abstract & topological properties
Flag count480
Euler characteristic–6
OrientableNo
Genus8
Properties
SymmetryB3, order 48
ConvexNo
NatureTame

The great hexadecagonal prismatic blend is an orbiform polyhedron. It consists of 6 hexadecagrams and 36 squares. It can be obtained by blending 3 hexadecagrammic prisms together.

It appears as a cell in the small great prismatodistetracontoctachoron and the great great prismatodistetracontoctachoron.

Vertex coordinates[edit | edit source]

The vertex coordinates for a great hexadecagonal prismatic blend of unit length are given by all permutations of: