Pentagonal disphenoid
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Pentagonal disphenoid | |
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![]() | |
Rank | 5 |
Type | Noble |
Space | Spherical |
Bowers style acronym | Pedow |
Info | |
Symmetry | H2≀S2×A1+, order 200 |
Army | Pedow |
Regiment | Pedow |
Elements | |
Vertex figure | Pentagonal scalene |
Tera | 10 pentagonal scalenes |
Cells | 25 tetragonal disphenoids, 10 pentagonal disphenoids |
Faces | 50 isosceles triangles, 2 pentagons |
Edges | 10+25 |
Vertices | 10 |
Measures (base edge length 1, height h) | |
Edge lengths | Edges of pentagons (10): 1 |
Lacing edges (25): | |
Circumradius | |
Central density | 1 |
Euler characteristic | 2 |
Related polytopes | |
Dual | Pentagonal disphenoid |
Conjugate | Pentagrammic disphenoid |
Properties | |
Convex | Yes |
Orientable | Yes |
Nature | Tame |
The pentagonal disphenoid or pedow is a convex noble polyteron with 10 pentagonal scalenes as facets. 7 facets join at each vertex. However, it cannot be made scaliform, because the length of the lacing edges must be greater than the base edges.