# Celliprismatotruncated tesseractic tetracomb

Celliprismatotruncated tesseractic tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymCaptatit
Coxeter diagramx4x3o3x4x ()
Elements
Tera4N truncated cubic prisms, 3N octagonal duoprisms, N prismatorhombated hexadecachora
Cells32N triangular prisms, 24N+8N cuboctahedra, 24N octagonal prisms, 8N truncated cubes
Faces64N triangles, 24N+48N+96N squares, 48N octagons
Edges96N+192N
Vertices96N
Vertex figureRectangular scalene, base edge lengths 1 and 2, remaining edge lengths 2 (5) and 2+2 (4)
Related polytopes
ArmyCaptatit
RegimentCaptatit
ConjugateQuasiquasicelliprismatotruncated tesseractic tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryR5×2
ConvexYes

The celliprismatotruncated tesseractic tetracomb or captatit, also called the steriruncitruncated tesseractic tetracomb is a convex uniform tetracomb. 2 prismatorhombated hexadecachora, 2 truncated cubic prisms, and 2 octagonal duoprisms join at each vertex of this tessellation. As the name suggests, it is the steriruncitruncation of the tesseractic tetracomb.

## Vertex coordinates

The vertices of a celliprismatotruncated tesseractic tetracomb of edge length 1 are given by all permutations of:

• ${\displaystyle \left(±\frac12+(2+2\sqrt2)i,\,±\frac{1+\sqrt2}{2}+(2+2\sqrt2)j,\,±\frac{1+\sqrt2}{2}+(2+2\sqrt2)k,\,±\frac{1+2\sqrt2}{2}+(2+2\sqrt2)l\right),}$

Where i, j, k, and l range over the integers.

## Related polytopes

o4o3o3o4o truncations
Name OBSA CD diagram Picture
Tesseractic tetracomb test
Rectified tesseractic tetracomb rittit
Icositetrachoric tetracomb icot
Truncated tesseractic tetracomb tattit
Bitruncated tesseractic tetracomb batitit
Small rhombated tesseractic tetracomb srittit
Rectified icositetrachoric tetracomb ricot
Great rhombated tesseractic tetracomb grittit
Truncated icositetrachoric tetracomb ticot
Small prismated tesseractic tetracomb sidpitit
Prismatotruncated tesseractic tetracomb potatit
Prismatorhombated tesseractic tetracomb prittit
Great prismated tesseractic tetracomb gippittit
Tesseractic tetracomb test
Celliprismated tesseractic tetracomb capotat
Cellirhombated tesseractic tetracomb scartit
Celligreatorhombated tesseractic tetracomb gicartit
Celliprismatotruncated tesseractic tetracomb captatit
Great cellated tesseractic tetracomb otatit