❴8,4∣3❵

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{8,4∣3}
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol{8,4∣3}
Elements
Faces144 octagons
Edges576
Vertices288
Vertex figureSkew square, edge length \
Petrie polygons48 {24}#{24/11}
HolesTriangles
Measures (edge length 1)
Circumradius
Related polytopes
ArmyCont
RegimentCont
Dual{4,8∣3}
Petrie dual{24,4}8,3
Conjugates{8/3,4∣3}
Abstract & topological properties
Flag count2304
Euler characteristic-144
Schläfli type{8,4}
OrientableYes
Genus73
Properties
SymmetryF4×2, order 2304
ConvexNo
Dimension vector(3,2,3)
Relations between polyhedra with planar faces and F4×2 symmetry. represents the dual, represents third-order facetting, and represents the conjugate.

{8,4∣3} is a regular skew polyhedron in 4-dimensional Euclidean space. Its faces are precisely the octagonal faces of the tetracontoctachoron.

Vertex coordinates[edit | edit source]

Its vertex coordinates are the same as those of the tetracontoctachoron.

External links[edit | edit source]