Triangular-snub dodecahedral duoantiprism
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| Triangular-snub dodecahedral duoantiprism | |
|---|---|
| File:Triangular-snub dodecahedral duoantiprism.png | |
| Rank | 5 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Trasniddap |
| Coxeter diagram | s6o2s5s3s |
| Elements | |
| Tera | 360 sphenoidal pyramids, 30 digonal-triangular duoantiprisms, 20 triangular-triangular duoantiprisms, 12 triangular-pentagonal duoantiprisms, 6 snub dodecahedral antiprisms |
| Cells | 180 rhombic disphenoids, 360+360+360 sphenoids, 720 irregular tetrahedra, 60+60+60 triangular antiprisms, 120 triangular gyroprisms, 72 pentagonal gyroprisms, 6 snub dodecahedra |
| Faces | 120+120 triangles, 360+360+360+360 isosceles triangles, 720+720+720 scalene triangles, 72 pentagons |
| Edges | 180+360+360+360+360+360+360 |
| Vertices | 360 |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Triangular-pentagonal hexecontahedral duoantitegum |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Orientable | Yes |
| Properties | |
| Symmetry | G2×H3/2, order 720 |
| Convex | Yes |
| Nature | Tame |
The triangular-snub dodecahedral duoantiprism, or trasniddap, is a convex isogonal polyteron that consists of 6 snub dodecahedral antiprisms, 12 triangular-pentagonal duoantiprisms, 20 triangular-triangular duoantiprisms, 30 digonal-triangular duoantiprisms, and 360 sphenoidal pyramids. 2 snub dodecahedarl antiprisms, 1 triangular-pentagonal duoantiprism, 1 triangular-triangular duoantiprism, 1 digonal-triangular duoantiprism, and 5 sphenoidal pyramids join at each vertex. It can be obtained through the process of alternating the hexagonal-great rhombicosidodecahedral duoprism. However, it cannot be made uniform.