Digonal-snub dodecahedral duoantiprism
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| Digonal-snub dodecahedral duoantiprism | |
|---|---|
| File:Digonal-snub dodecahedral duoantiprism.png | |
| Rank | 5 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Disniddap |
| Coxeter diagram | s4o2s5s3s |
| Elements | |
| Tera | 240 sphenoidal pyramids, 30 tetragonal disphenoidal antiprisms, 20 digonal-triangular duoantiprisms, 12 digonal-pentagonal duoantiprisms, 4 snub dodecahedral antiprisms |
| Cells | 60+60+60 tetragonal disphenoids, 120 rhombic disphenoids, 240+240+240 sphenoids, 480 irregular tetrahedra, 80 triangular gyroprisms, 48 pentagonal gyroprisms, 4 snub dodecahedra |
| Faces | 80 triangles, 240+240+240+240 isosceles triangles, 480+480+480 scalene triangles, 48 pentagons |
| Edges | 120+120+240+240+240+240+240 |
| Vertices | 240 |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Digonal-pentagonal hexecontahedral duoantitegum |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | B2×H3/2, order 480 |
| Convex | Yes |
| Nature | Tame |
The digonal-snub dodecahedral duoantiprism, or disniddap, is a convex isogonal polyteron that consists of 4 snub dodecahedral antiprisms, 12 digonal-pentagonal duoantiprisms, 20 digonal-triangular duoantiprisms, 30 tetragonal disphenoidal antiprisms, and 240 sphenoidal pyramids. 2 snub dodecahedral antiprisms, 1 digonal-pentagonal duoantiprism, 1 digonal-triangular duoantiprism, 1 tetragonal disphenoidal antiprism, and 5 shenoidal pyramids join at each vertex. It can be obtained through the process of alternating the square-great rhombicosidodecahedral duoprism. However, it cannot be made uniform.