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|Cells||96 phyllic disphenoids, 24 square gyroprisms|
|Faces||192 scalene triangles, 96 isosceles triangles, 24 squares|
|Vertex figure||10-vertex polyhedron with 4 tetragons and 8 triangles|
|Measures (based on square duoprisms of edge length 1)|
|Edge lengths||Short side edges (48):|
|Long side edges (96):|
|Edges of squares (96): 1|
|Abstract & topological properties|
|Symmetry||(I2(12)≀S2)+/3, order 192|
The square triswirlprism is a convex isogonal polychoron and member of the duoprismatic swirlprism family that consists of 24 square gyroprisms and 96 phyllic disphenoids. 4 square gyroprisms and 8 phyllic disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the dodecagonal duoprism. It is the third in an infinite family of isogonal square dihedral swirlchora.
The ratio between the longest and shortest edges is 1: ≈ 1:1.93185.
Vertex coordinates[edit | edit source]
Coordinates for the vertices of a square triswirlprism constructed as the convex hull of three square duoprisms of edge length 1, are given as Cartesian products of the vertices of square S1:
- S1 × S1,
- S2 × S2 (S1 rotated 30 degrees),
- S3 × S3 (S1 rotated 60 degrees).