Gosset octacomb

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Gosset octacomb
Rank9
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymGoh
Coxeter diagramo3o3o3o *c3o3o3o3o3x (File:CDel nodea 1.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel branch.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.png)
Elements
Yotta1920N enneazetta, 135N diacosipentacontahexazetta
Zetta8640N+17280N octaexa
Exa69120N heptapeta
Peta80640N hexatera
Tera48384N pentachora
Cells15120N tetrahedra
Faces2240N triangles
Edges120N
VerticesN
Vertex figureDischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton, edge length 1
Measures (edge length 1)
Vertex density
Dual cell volume
Related polytopes
ArmyGoh
RegimentGoh
ConjugateNone
Abstract & topological properties
OrientableYes
Properties
SymmetryT9
ConvexYes
NatureTame

The Gosset octacomb or goh, also called the 521 honeycomb, is a convex uniform octacomb. 240 diacosipentacontahexazetta and 17280 enneazetta join at each vertex of this tessellation, forming a dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton as the vertex figure.

Vertex coordinates[edit | edit source]

The vertices of a Gosset octacomb of edge length 1 are given by

where i, j, k, l, m, n, o, and p are integers, and i+j+k+l+m+n+o+p is even.

External links[edit | edit source]