Pentagrammic bipyramid
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.
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) |
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 |
---|---|
gollark: The new iGPUs are several times more powerful than my ~4 year old one apparently.
gollark: I believe they are to release discrete cards this year. Although with 10nm/7nm held up who knows.
gollark: This is my laptop's integrated one.
gollark: (Modded Minecraft, so it isn't even that horribly awful)
gollark: I can play Minecraft at an amazing 50FPS on my 1366x768 monitor.
References
External links
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.