❴4,8/3∣3❵

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{4,8/3∣3}
Rank3
Dimension4
TypeRegular
Notation
Schläfli symbol{4,8/3∣3}
Elements
Faces288 squares
Edges576
Vertices144
Vertex figureSkew octagram, edge length
Measures (edge length 1)
Circumradius
Related polytopes
ArmySpic
RegimentGiddic
Dual{8/3,4∣3}
φ 2 Octahedron
φ 3 {8/3,8∣3}
Conjugates{4,8∣3}
Abstract & topological properties
Flag count2304
Euler characteristic-144
Schläfli type{4,8}
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.

{4,8/3∣3} is a regular skew polyhedron in 4-dimensional Euclidean space. It consists of exactly the square faces of the quasiprismatotetracontoctachoron.