|Symmetry||I2(8)×I2(16)/8, order 64|
|Cells||8 square antiprisms, 16 rhombic disphenoids, 32+32+32 phyllic disphenoids|
|Faces||8 squares, 64+64+64+64 scalene triangles|
The digonal-square tetraswirlprism, also known as the 16-2 double step prism or 16-6 double step prism, is a convex isogonal polychoron that consists of 8 square antiprisms, 16 rhombic disphenoids and 96 phyllic disphenoids of three kinds obtained as a subsymmetrical faceting of the octagonal-hexadecagonal duoprism.
Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:2.11968.
Vertex coordinates[edit | edit source]
Coordinates for the vertices of a digonal-square tetraswirlprism, assuming that the edge length differences are minimized, are given as Cartesian products of the vertices of square S1 and digon D2 with length ratio 1:1:
- S1 × D2,
- S3 × D4 (S1 rotated 22.5 degrees and D2 rotated 45 degrees),
- S5 × D6 (S1 rotated 45 degrees and D2 rotated 90 degrees),
- S7 × D8 (S1 rotated 67.5 degrees and D2 rotated 135 degrees).
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