Cellirhombated tesseractic tetracomb

Cellirhombated tesseractic tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymCartit
Coxeter diagramx4o3x3o4x ()
Elements
Tera3N tesseracts, 4N small rhombicuboctahedral prisms, N small rhombated tesseracts
Cells32N triangular prisms, 8N octahedra, 24N+24N cubes, 8N small rhombicuboctahedra
Faces64N triangles, 24N+48N+96N squares
Edges96N+96N
Vertices48N
Vertex figureAntiduowedge, edge lengths 1 (edges of top square) and 2 (remaining edges)
Related polytopes
ArmyCartit
RegimentCartit
ConjugateQuasicelliquasirhombated tesseractic tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryR5×2
ConvexYes

The cellirhombated tesseractic tetracomb or cartit, also called the stericantellated tesseractic tetracomb is a convex uniform tetracomb. 2 small rhombated tesseracts, 4 small rhombicuboctahedral prisms, and 1 tesseract join at each vertex of this tessellation. As the name suggests, it is the stericantellation of the tesseractic tetracomb.

Vertex coordinates

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

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

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