Pentagonal orthobicupola

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Pentagonal orthobicupola
Pentagonal orthobicupola
Type Johnson
J29 - J30 - J31
Faces 10 triangles
10 squares
2 pentagons
Edges 40
Vertices 20
Vertex configuration 10 of 3.4.5.4
10 of 32.42
Symmetry group D5h
Dual -
Properties convex

In geometry, the pentagonal orthobicupola is one of the Johnson solids (J30). As the name suggests, it can be constructed by joining two pentagonal cupolae (J5) along their decagonal bases, matching like faces. A 36-degree rotation of one cupola before the joining yields a pentagonal gyrobicupola (J31).

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

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

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