Elongated pentagonal gyrocupolarotunda
- Elongated pentagonal gyrocupolarotunda
Infobox Polyhedron
Polyhedron_Type=Johnson
J40 - J41 - J42
Face_List=3.5 triangles
3.5 squares
2+5 pentagons
Edge_Count=70
Vertex_Count=35
Symmetry_Group="C"5v
Vertex_List=10(3.43)
10(3.42.5)
5(3.4.5.4)
2.5(3.5.3.5)
Dual=-
Property_List=convex
In geometry, the elongated pentagonal gyrocupolarotunda is one of the Johnson solids ("J"41). As the name suggests, it can be constructed by elongating a pentagonal gyrocupolarotunda ("J"33) by inserting a decagonal prism between its halves. Rotating either the pentagonal cupola ("J"5) or the pentagonal rotunda ("J"6) through 36 degrees before inserting the prism yields an elongated pentagonal orthocupolarotunda ("J"40).
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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