Elongated pentagonal cupola

Elongated pentagonal cupola

Infobox_Polyhedron


Polyhedron_Type=Johnson
J19 - J20 - J21
Face_List=5 triangles
3.5 squares
1 pentagon
1 decagon
Edge_Count=45
Vertex_Count=25
Symmetry_Group="C"5v|
Vertex_List=10(42.10)
10(3.43)
5(3.4.5.4)
Dual=-
Property_List=convex

In geometry, the elongated pentagonal cupola is one of the Johnson solids ("J"20). As the name suggests, it can be constructed by elongating a pentagonal cupola ("J"5) by attaching a decagonal prism to its base. The solid can also be seen as an elongated pentagonal orthobicupola ("J"38) with its "lid" (another pentagonal cupola) removed.

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

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