|Bowers style acronym||Disdap|
|Coxeter diagram||s4o2s8o ()|
|Cells||16 digonal disphenoids, 8 tetragonal disphenoids, 4 square antiprisms|
|Faces||32+32 isosceles triangles, 4 squares|
|Vertex figure||Augmented triangular prism|
|Measures (based on polygons of edge length 1)|
|Edge lengths||Lacing (32):|
|Digons (8): 1|
|Edges of squares (16): 1|
|Abstract & topological properties|
|Symmetry||(B2×I2(8))/2, order 64|
The digonal-square duoantiprism or disdap, also known as the 2-4 duoantiprism or the 8-2 double step prism, is a convex isogonal polychoron that consists of 4 square antiprisms, 8 tetragonal disphenoids, and 16 digonal disphenoids. 2 square antiprisms, 2 tetragonal disphenoids, and 4 digonal disphenoids join at each vertex. It can be obtained through the process of alternating the square-octagonal duoprism. However, it cannot be made uniform, as it generally has 3 edge lengths, which can be minimized to no fewer than 2 different sizes.
Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.12303.
Vertex coordinates[edit | edit source]
The vertices of a digonal–square duoantiprism, assuming that the square antiprisms are uniform of edge length 1, centered at the origin, are given by:
An alternate set of coordinates, assuming that the edge length differences are minimized, centered at the origin, are given by: