|Bowers style acronym||Hadet|
|Cells||36+36 tetragonal disphenoids, 72 rectangular pyramids, 12 hexagonal prisms|
|Faces||144+144 isosceles triangles, 72 rectangles, 12 hexagons|
|Vertex figure||Biaugmented triangular prism|
|Measures (based on same duoprisms as optimized hexagonal ditetragoltriate)|
|Edge lengths||Edges of smaller hexagon (72): 1|
|Lacing edges (144):|
|Edges of larger hexagon (72):|
|Abstract & topological properties|
|Symmetry||G2≀S2, order 288|
The hexagonal antiditetragoltriate or hadet is a convex isogonal polychoron and the fourth member of the antiditetragoltriate family. It consists of 12 hexagonal prisms, 72 rectangular pyramids, and 72 tetragonal disphenoids of two kinds. 2 hexagonal 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 hexagonal duoprisms where the larger hexagon is more than times the edge length of the smaller one.