# Small rhombated tesseractic tetracomb

Small rhombated tesseractic tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymSrittit
Coxeter diagramx4o3x3o4o ()
Elements
Tera4N octahedral prisms, N icositetrachora, N small rhombated tesseracts
Cells32N triangular prisms, 8N+16N octahedra, 4N small rhombicuboctahedra
Faces32N+64N triangles, 6N+48N squares
Edges24N+96N
Vertices24N
Vertex figureSquare pyramidal prism, edge lengths 1 (base cube) and 2 (sides and top edge)
Related polytopes
ArmySrittit
RegimentSrittit
ConjugateQuasirhombated tesseractic tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryR5
ConvexYes

The small rhombated tesseractic tetracomb or srittit, also called the cantellated tesseractic tetracomb is a convex uniform tetracomb. 4 small rhombated tesseracts, 2 icositetrachora, and 1 octahedral prism join at each vertex of this tessellation. As the name suggests, it is the cantellation of the tesseractic tetracomb.

## Vertex coordinates

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

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

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

## Representations

A small rhombated tesseractic tetracomb has the following Coxeter diagrams:

• x4o3x3o4o (full symmetry)
• o3x3o *b3o4x (half symmetry)

## 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