Decagonal-snub cubic duoprism
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Decagonal-snub cubic duoprism | |
---|---|
Rank | 5 |
Type | Uniform |
Notation | |
Bowers style acronym | Dasnic |
Coxeter diagram | x10o s4s3s () |
Elements | |
Tera | 8+24 triangular-decagonal duoprisms, 6 square-decagonal duoprisms, 10 snub cubic prisms |
Cells | 80+240 triangular prisms, 60 cubes, 12+24+24 decagonal prisms, 10 snub cubes |
Faces | 80+240 triangles, 60+120+240+240 squares, 24 decagons |
Edges | 120+240+240+240 |
Vertices | 240 |
Vertex figure | Mirror-symmetric pentagonal scalene, edge lengths 1, 1, 1, 1, √2 (base pentagon), √(5+√5)/2 (top edge), √2 (side edges) |
Measures (edge length 1) | |
Circumradius | ≈ 2.10324 |
Hypervolume | ≈ 60.70331 |
Diteral angles | Tradedip–dip–tradedip: ≈ 153.23459° |
Sniccup–snic–sniccup: 144° | |
Tradedip–dip–squadedip: ≈ 142.98343° | |
Tradedip–trip–sniccup: 90° | |
Squadedip–cube–sniccup: 90° | |
Central density | 1 |
Number of external pieces | 48 |
Level of complexity | 50 |
Related polytopes | |
Army | Dasnic |
Regiment | Dasnic |
Dual | Decagonal-pentagonal icositetrahedral duotegum |
Conjugate | Decagrammic-snub cubic duoprism |
Abstract & topological properties | |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | B3+×I2(10), order 480 |
Convex | Yes |
Nature | Tame |
The decagonal-snub cubic duoprism or dasnic is a convex uniform duoprism that consists of 10 snub cubic prisms, 6 square-decagonal duoprisms, and 32 triangular-decagonal duoprisms of two kinds. Each vertex joins 2 snub cubic prisms, 4 triangular-decagonal duoprisms, and 1 square-decagonal duoprism.
Vertex coordinates[edit | edit source]
The vertices of a decagonal-snub cubic duoprism of edge length 1 are given by by all even permutations with an even number of sign changes, plus all odd permutations with an odd amount of sign changes, of the last three coordinates of:
where