Ditrigonal dodecadodecahedron

It has 24 faces (12 pentagons and 12 pentagrams), 60 edges, and 20 vertices.

[1] It has extended Schläfli symbol b{5,5⁄2}, as a blended great dodecahedron, and Coxeter diagram .

It has 4 Schwarz triangle equivalent constructions, for example Wythoff symbol 3 | 5⁄3 5, and Coxeter diagram .

It additionally shares its edge arrangement with the small ditrigonal icosidodecahedron (having the pentagrammic faces in common), the great ditrigonal icosidodecahedron (having the pentagonal faces in common), and the regular compound of five cubes.

It is topologically equivalent to a quotient space of the hyperbolic order-6 pentagonal tiling, by distorting the pentagrams back into regular pentagons.