Pentagrammic bipyramid
From HandWiki
| Pentagrammic bipyramid | |
|---|---|
 | |
| Type | Star bipyramid |
| Faces | 10 triangles |
| Edges | 15 |
| Vertices | 7 |
| Schläfli symbol | {} + {5/2} |
| Coxeter diagram |      |
| Symmetry group | D5h, [5,2], (*225), order 20 |
| Rotation group | D5, [5,2]+, (225), order 10 |
| Dual polyhedron | pentagrammic prism |
| Face configuration | V4.4.5 |
| Properties | face-transitive, (deltahedron) |
File:Pentagrammic bipyramid (dual uniform).stl File:Pentagrammic bipyramid (regular faces).stl In geometry, the pentagrammic bipyramid (or dipyramid) is first of the infinite set of face-transitive star bipyramids containing star polygon arrangement of edges. It has 10 intersecting isosceles triangle faces. It is topologically identical to the pentagonal bipyramid.
Each star bipyramid is the dual of a star polygon based uniform prism.
Related polyhedra
There are two pentagrammic trapezohedra (or deltohedra), being dual to the pentagrammic antiprism and pentagrammic crossed antiprism respectively, each having intersecting kite-shaped faces (convex or concave), and a total of 12 vertices:
| {5⁄2} trapezohedron | {5⁄3} trapezohedron |
|---|---|
|
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References
External links
- Weisstein, Eric W.. "Dipyramid". http://mathworld.wolfram.com/Dipyramid.html.
- Weisstein, Eric W.. "Pentagrammic dipyramid". http://mathworld.wolfram.com/PentagrammicDipyramid.html.
- Weisstein, Eric W.. "Pentagrammic deltohedron". http://mathworld.wolfram.com/PentagrammicDeltohedron.html.
- Weisstein, Eric W.. "Pentagrammic concave deltohedron". http://mathworld.wolfram.com/PentagrammicConcaveDeltohedron.html.
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