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|Cells||200 phyllic disphenoids, 100 rhombic disphenoids, 40 pentagonal gyroprisms|
|Faces||400+400 scalene triangles, 40 pentagons|
|Vertex figure||12-vertex polyhedron with 4 tetragons and 12 triangles|
|Measures (based on pentagonal duoprisms of edge length 1)|
|Edge lengths||Short side edges (100):|
|Medium side edges (100):|
|Long side edges (200):|
|Edges of pentagons (200): 1|
|Abstract & topological properties|
|Symmetry||(I2(20)≀S2)+/4, order 400|
The pentagonal tetraswirlprism is a convex isogonal polychoron and member of the duoprismatic swirlprism family that consists of 40 pentagonal gyroprisms, 100 rhombic disphenoids, and 200 phyllic disphenoids. 4 pentagonal gyroprisms, 4 rhombic disphenoids, and 8 phyllic disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the icosagonal duoprism. It is the fourth in an infinite family of isogonal pentagonal dihedral swirlchora.
The ratio between the longest and shortest edges is 1: ≈ 1:2.65688.