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|Cells||16 tetragonal disphenoids, 16 rectangular trapezoprisms, 16 square cupolas, 8 square prisms|
|Faces||64 isosceles triangles, 64 isosceles trapezoids, 32 rectangles, 16 squares, 8 ditetragons|
|Vertex figure||Monoaugmented isosceles trapezoidal pyramid|
|Measures (edge length 1)|
|Abstract & topological properties|
|Symmetry||B2≀S2, order 128|
The square duotruncatoalterprism is a convex isogonal polychoron and the third member of the duotruncatoalterprism family. It consists of 8 square prisms, 16 square cupolas, 16 rectangular trapezoprisms, and 16 tetragonal disphenoids. 1 square prism, 3 square cupolas, 2 rectangular trapezoprisms, and 1 tetragonal disphenoid join at each vertex. It can be obtained as the convex hull of two orthogonal square-ditetragonal duoprisms. However, it cannot be made scaliform.
This polychoron cannot be optimized using the ratio method, because the solution (with intended minimal ratio 1:2) would yield a square duotransitionalterprism instead.