Swirlprismatodiminished rectified tesseract

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Swirlprismatodiminished rectified tesseract
Rank4
TypeIsogonal
Notation
Bowers style acronymSpidrit
Elements
Cells8 triangular prisms, 8 chiral rectified triangular prisms
Faces24 isosceles triangles, 16 triangles, 24 rectangles
Edges24+48
Vertices24
Vertex figureBilaterally-symmetric wedge
Measures (derived from unit-edged rectified tesseract)
Edge lengthsShort edge (48): 1
 Long edge (24):
Circumradius
Central density1
Related polytopes
DualSwirlprismatostellated joined hexadecachoron
Abstract & topological properties
Flag count864
Euler characteristic0
OrientableYes
Properties
SymmetryA3●K2, order 48
ConvexYes
NatureTame

The swirlprismatodiminished rectified tesseract or spidrit is an isogonal polychoron with 8 chiral rectified triangular prisms, 8 triangular prisms, and 24 vertices. 3 chiral rectified triangular prisms and 2 triangular prisms join at each vertex. It can be constructed by removing the 8 vertices of an inscribed hexadecachoron of edge length from a rectified tesseract. In doing so the cuboctahedral cells have 3 vertices removed, and additional triangular prisms come in as the original's vertex figures.

The ratio between the longest and shortest edges is 1: ≈ 1:1.41421.