Great prismated hexadecachoric tetracomb

From Polytope Wiki
Jump to navigation Jump to search
Great prismated hexadecachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymGipaht
Coxeter diagramo3x4x3x3x ()
Elements
Tera32N triangular-hexagonal duoprisms, 12N truncated cubic prisms, 3N great disprismatotesseractihexadecachora, N great rhombated icositetrachora
Cells96N+96N triangular prisms, 96N hexagonal prisms, 72N octagonal prisms, 24N truncated cubes, 24N truncated octahedra, 24N great rhombicuboctahedra
Faces192N triangles, 144N+288N+288N squares, 96N+96N hexagons, 144N octagons
Edges288N+288N+288N+576N
Vertices576N
Vertex figureSphenoidal pyramid, edge lengths 1 (1), √2 (5), √3 (2), and √2+√2 (2)
Related polytopes
ArmyGipaht
RegimentGipaht
ConjugateGreat quasiprismated hexadecachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The great prismated hexadecachoric tetracomb or gipaht, also called the runcicantitruncated hexadecachoric tetracomb is a convex uniform tetracomb. 1 great rhombated icositetrachoron, 2 great disprismatotesseractihexadecachora, 1 truncated cubic prism, and 1 triangular-hexagonal duoprism join at each vertex of this tessellation. As the name suggests, it is the runcicantitruncation of the hexadecachoric tetracomb.

External links[edit | edit source]

 truncations
NameOBSASchläfli symbolCD diagramImage
Icositetrachoric tetracombicot{3,4,3,3}
Rectified icositetrachoric tetracombricotr{3,4,3,3}
Birectified icositetrachoric tetracombbricott2{3,4,3,3}
Icositetrachoric tetracombicotr{3,3,4,3}
Hexadecachoric tetracombhext{3,3,4,3}
Truncated icositetrachoric tetracombticott{3,4,3,3}
Small rhombated icositetrachoric tetracombsricotrr{3,4,3,3}
Small prismated icositetrachoric tetracombspictt0,3{3,4,3,3}
Small cellated icositetrachoric tetracombscicott0,4{3,4,3,3}
Bitruncated icositetrachoric tetracombbaticott1,2{3,4,3,3}
Small birhombated icositetrachoric tetracombsibricott1,3{3,4,3,3}
Small prismated hexadecachoric tetracombspahtt0,3{3,3,4,3}
Bitruncated hexadecachoric tetracombbithitt1,2{3,3,4,3}
Rectified icositetrachoric tetracombricotrr{3,3,4,3}
Truncated hexadecachoric tetracombthextt{3,3,4,3}
Great rhombated icositetrachoric tetracombgricottr{3,4,3,3}
Prismatotruncated icositetrachoric tetracombpaticott0,1,3{3,4,3,3}
Celliprismated hexadecachoric tetracombcapohtt0,1,4{3,4,3,3}
Prismatorhombated icositetrachoric tetracombpricott0,2,3{3,4,3,3}
Cellirhombated icositetrachoric tetracombcaricott0,2,4{3,4,3,3}
Celliprismated icositetrachoric tetracombcapicott0,1,4{3,3,4,3}
Great birhombated icositetrachoric tetracombgibricott1,2,3{3,4,3,3}
Prismatorhombated hexadecachoric tetracombprahtt0,2,3{3,3,4,3}
Prismatotruncated hexadecachoric tetracombpatahtt0,1,3{3,3,4,3}
Truncated icositetrachoric tetracombticottr{3,3,4,3}
Great prismated icositetrachoric tetracombgippictt0,1,2,3{3,4,3,3}
Celligreatorhombated icositetrachoric tetracombcagricott0,1,2,4{3,4,3,3}
Celliprismatotruncated icositetrachoric tetracombcapticott0,1,3,4{3,4,3,3}
Celligreatorhombated hexadecachoric tetracombcagorahtt0,1,2,4{3,3,4,3}
Great prismated hexadecachoric tetracombgipahtt0,1,2,3{3,3,4,3}
Great cellated icositetrachoric tetracombgacicott0,1,2,3,4{3,4,3,3}
Retrieved from "https://polytope.miraheze.org/wiki/Great_prismated_hexadecachoric_tetracomb?oldid=98560"