Square-pentagonal duoantifastegiaprism |
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Rank | 5 |
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Type | Scaliform |
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Notation |
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Bowers style acronym | Squipdafup |
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Coxeter diagram | xo4ox xo5ox&#x |
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Elements |
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Tera | 10 square antifastegiums, 8 pentagonal antifastegiums, 2 square-pentagonal duoprisms |
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Cells | 40 tetrahedra, 40 square pyramids, 10 cubes, 10 square antiprisms, 8 pentagonal prisms, 8 pentagonal antiprisms |
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Faces | 80+80 triangles, 10+40 squares, 8 pentagons |
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Edges | 40+40+80 |
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Vertices | 40 |
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Vertex figure | Square-digonal disphenoidal wedge, edge lengths 1, √2, and (1+√5)/2 |
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Measures (edge length 1) |
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Circumradius | |
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Hypervolume | ≈ 1.33864 |
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Height | |
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Central density | 1 |
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Related polytopes |
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Army | Squipdafup |
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Regiment | Squipdafup |
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Dual | Square-pentagonal duoantifastegiategum |
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Abstract & topological properties |
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Euler characteristic | 2 |
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Orientable | Yes |
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Properties |
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Symmetry | (I2(8)▲I2(10))/2, order 160 |
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Convex | Yes |
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Nature | Tame |
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The square-pentagonal duoantifastegiaprism or squipdafup, also known as the square-pentagonal duoantiwedge, is a convex scaliform polyteron and a member of the duoantifastegiaprism family. It consists of 2 square-pentagonal duoprisms, 8 pentagonal antifastegiums, and 10 square antifastegiums. 1 square-pentagonal duoprism, 3 pentagonal antifastegiums, and 3 square antifastegiums join at each vertex.
The vertices of a square-pentagonal duoantifastegiaprism of edge length 1 are given by: