Hexadecaocta-hemihexadecintercepted hemioctachoron: Difference between revisions

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|symmetry = [[Demitesseractic symmetry|D<sub>4</sub>]], order 192
|symmetry = [[Demitesseractic symmetry|D<sub>4</sub>]], order 192
|circum = <math>1</math>
|circum = <math>1</math>
|dich =
|dich = Thah–3–thah: 120°
|dich2 = Cho–6–cho: 120°
|dich3 = Thah–4–co: 90°
|dich4 = Thah–4–cho: 90°
|dich5 = Thah–3–co: 60°
|euler = 44
|euler = 44
|pieces = 416
|pieces = 416
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[[File:Hoh Honho-cells.png|300px]]
[[File:Hoh Honho-cells.png|300px]]
[[File:Schlegel_wireframe_24-cell.png|300px]]
[[File:Schlegel_wireframe_24-cell.png|300px]]

==Vertex coordinates==
Its vertices are the same as those of its regiment colonel, the [[icositetrachoron]].


==External links==
==External links==

Latest revision as of 15:43, 11 February 2024

Hexadecaocta-hemihexadecintercepted hemioctachoron
Rank4
TypeUniform
Notation
Bowers style acronymHoh honho
Elements
Cells8+8+8 tetrahemihexahedra, 4 cuboctahedra, 4+4 cubohemioctahedra
Faces32+32 triangles, 24+24+24 squares, 16 hexagons
Edges96
Vertices24
Measures (edge length 1)
Circumradius
Dichoral anglesThah–3–thah: 120°
 Cho–6–cho: 120°
 Thah–4–co: 90°
 Thah–4–cho: 90°
 Thah–3–co: 60°
Number of external pieces416
Level of complexity52
Related polytopes
ArmyIco
RegimentIco
ConjugateNone
Abstract & topological properties
Flag count2304
Euler characteristic44
OrientableNo
Properties
SymmetryD4, order 192
ConvexNo
NatureWild

The hexadecaocta-hemihexadecintercepted hemioctachoron, or hoh honho, is a uniform polychoron. It has 24 tetrahemihexahedra of three types, 8 central cuboctahedra of two types, and 4 central cubohemioctahedra, with 2 of each type at each vertex.

As well as being isogonal, it is also isotoxal.

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the icositetrachoron.

External links[edit | edit source]