“Pentagrammic bipyramid”的意思、由来-开放百科全书

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Pentagrammic bipyramid

释义

Related polyhedra
References
External links

{{Infobox face-uniform polyhedron |

  Image_File=Pentagram_Dipyramid.png |  Polyhedron_Type=Star bipyramid|  Schläfli = {} + {5/2} |  Coxeter={{CDD|node_f1|2x|node_f1|5|rat|2x|node}} |  Face_List=10 triangles|  Edge_Count=15 |  Vertex_Count=7 |  Symmetry_Group=''D''_5h, [5,2], (*225), order 20|  Rotation_Group  = ''D''_''5'', [5,2]⁺, (225), order 10|  Face_Type=V4.4.5|  Dual=pentagrammic prism|  Property_List=face-transitive, (deltahedron)

}}

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

References

External links

{{mathworld | urlname = Dipyramid | title = Dipyramid}}
{{mathworld |urlname=PentagrammicDipyramid |title=Pentagrammic dipyramid}}
{{mathworld |urlname=PentagrammicDeltohedron |title=Pentagrammic deltohedron}}
{{mathworld |urlname=PentagrammicConcaveDeltohedron |title=Pentagrammic concave deltohedron}}

1 : Pyramids and bipyramids

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