# Rectified tesseractic tetracomb

Rectified tesseractic tetracomb
Rank5
TypeQuasiregular
SpaceEuclidean
Notation
Bowers style acronymRittit
Coxeter diagramo4x3o3o4o ()
Elements
TeraN hexadecachora, N rectified tesseracts
Cells16N tetrahedra, 4N cuboctahedra
Faces32N triangles, 6N squares
Edges24N
Vertices4N
Vertex figureOctahedral prism, edge lengths 1 (base) and 2 (sides
Related polytopes
ArmyRittit
RegimentRittit
DualJoined tesseractic tetracomb
ConjugateNone
Abstract & topological properties
OrientableYes
Properties
SymmetryR5
ConvexYes

The rectified tesseractic tetracomb, or rittit, is a convex uniform tetracomb. 2 hexadecachora and 8 rectified tesseracts join at each vertex of this tessellation. As the name suggests, it is the rectification of the tesseractic tetracomb.

## Vertex coordinates

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

• ${\displaystyle \left(\sqrt2i,\,±\frac{\sqrt2}{2}+\sqrt2j,\,±\frac{\sqrt2}{2}+\sqrt2k,\,±\frac{\sqrt2}{2}+\sqrt2l\right),}$

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

## Representations

A rectified tesseractic tetracomb has the following Coxeter diagrams:

• o4x3o3o4o (full ysmmetry)
• o3o3o *b3x4o (half symmetry, tetratetrahedral prism verf)
• x3o3x *b3o4o (half symmetry, octahedral frustum verf)
• x3o3x *b3o *b3o (quarter symmetry, tetratetrahedral frustum verf)

## 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