Pentagonal orthobicupola

Pentagonal orthobicupola

Infobox Polyhedron


Polyhedron_Type=Johnson
"J"29 - J30 - J31
Face_List=10 triangles
10 squares
2 pentagons
Edge_Count=40
Vertex_Count=20
Symmetry_Group=D5h
Vertex_List=10(32.42)
10(3.4.5.4)
Dual=-
Property_List=convex

In geometry, the pentagonal orthobicupola is one of the Johnson solids ("J"30). As the name suggests, it can be constructed by joining two pentagonal cupolae ("J"5) along their decagonal bases, matching like faces. A 36-degree rotation of one cupola before the joining yields a pentagonal gyrobicupola ("J"31).

The "pentagonal orthobicupola" is the third in an infinite set of orthobicupolae.

The 92 Johnson solids were named and described by Norman Johnson in 1966.

External links

* [http://mathworld.wolfram.com/JohnsonSolid.html Johnson Solid -- from MathWorld]


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