Gyroelongated pentagonal cupola

Gyroelongated pentagonal cupola

Infobox_Polyhedron


Polyhedron_Type=Johnson
"J"23 - J24 - J25
Face_List=3.5+10 triangles
5 squares
1 pentagon
1 decagon
Edge_Count=55
Vertex_Count=25
Symmetry_Group="C"5v|
Vertex_List=5(3.4.5.4)
2.5(33.10)
10(34.4)
Dual=-
Property_List=convex

In geometry, the gyroelongated pentagonal cupola is one of the Johnson solids ("J"24). As the name suggests, it can be constructed by gyroelongating a pentagonal cupola ("J"5) by attaching a decagonal antiprism to its base. It can also be seen as a gyroelongated pentagonal bicupola ("J"46) with one pentagonal cupola removed.

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

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