Pentagonal orthocupolarotunda

Pentagonal orthocupolarotunda

Infobox Polyhedron


Polyhedron_Type=Johnson
"J"31 - J32 - J33
Face_List=3.5 triangles
5 squares
2+5 pentagons
Edge_Count=50
Vertex_Count=25
Symmetry_Group="C"5v|
Vertex_List=10(3.4.3.5)
5(3.4.5.4)
2.5(3.5.3.5)
Dual=-
Property_List=convex

In geometry, the pentagonal orthocupolarotunda is one of the Johnson solids ("J"32). As the name suggests, it can be constructed by joining a pentagonal cupola ("J"5) and a pentagonal rotunda ("J"6) along their decagonal bases, matching the pentagonal faces. A 36-degree rotation of one of the halves before the joining yields a pentagonal gyrocupolarotunda ("J"33).

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