24-7 gyrochoron

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24-7 gyrochoron
Rank4
TypeIsotopic
Elements
Cells24 paratetratruncated hexagonal prisms
Faces48 isosceles triangles, 24 rhombi, 48 mirror-symmetric hexagons, 24 rectangular-symmetric octagons
Edges48+96+96
Vertices24+48+48
Vertex figure48+48 phyllic disphenoids, 24 rhombic disphenoids
Measures (edge length 1)
Central density1
Related polytopes
Dual24-7 step prism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(24)-7)×2R, order 96
ConvexYes
NatureTame

The 24-7 gyrochoron, also known as the digonal double triswirltegum, is a convex isochoric polychoron and member of the gyrochoron family with 24 paratetratruncated hexagonal prisms as cells. It is the second in an infinite family of isochoric digonal tegmatic swirlchora.

Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric octagons, 4 mirror-symmetric hexagons, 2 kites, and 4 isosceles triangles for faces.