Jump to navigation Jump to search
|Bowers style acronym||Squaddet|
|Cells||16+16 tetragonal disphenoids, 32 rectangular pyramids, 8 square prisms|
|Faces||64+64 isosceles triangles, 8 squares, 32 rectangles|
|Vertex figure||Biaugmented triangular prism|
|Measures (based on same duoprisms as optimized square ditetragoltriate)|
|Edge lengths||Edges of smaller square (32): 1|
|Lacing edges (64):|
|Edges of larger square (32): 2|
|Abstract & topological properties|
|Symmetry||B2≀S2, order 128|
The square antiditetragoltriate or squaddet is a convex isogonal polychoron and the second member of the antiditetragoltriate family. It consists of 8 square prisms, 32 rectangular pyramids, and 32 tetragonal disphenoids of two kinds. 2 square prisms, 4 tetragonal disphenoids, and 5 rectangular pyramids join at each vertex. However, it cannot be made scaliform.
It can be formed as the convex hull of 2 oppositely oriented semi-uniform square duoprisms where the larger square is more than times the edge length of the smaller one.