Pentagrammic dipyramid
From HandWiki
| Pentagrammic dipyramid | |
|---|---|
 | |
| 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) |
In geometry, the pentagrammic dipyramid (or bipyramid) is first of the infinite set of face-transitive star dipyramids containing star polygon arrangement of edges. It has 10 intersecting isosceles triangle faces. It is topologically identical to the pentagonal dipyramid.
Each star dipyramid is the dual of a star polygon based uniform prism.
| 320px 3D model of a dual uniform pentagrammic dipyramid |
320px 3D model of a pentagrammic dipyramid with regular faces |
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