Elongated pentagonal gyrobicupola
- Elongated pentagonal gyrobicupola
Infobox Polyhedron
Polyhedron_Type=Johnson
"J"38 - J39 - J40
Face_List=10 triangles
2.10 squares
2 pentagons
Edge_Count=60
Vertex_Count=30
Symmetry_Group="D"5d
Vertex_List=20(3.43)
10(3.4.5.4)
Dual=-
Property_List=convex
In geometry, the elongated pentagonal gyrobicupola is one of the Johnson solids ("J"39). As the name suggests, it can be constructed by elongating a pentagonal gyrobicupola ("J"31) by inserting a decagonal prism between its congruent halves. Rotating one of the pentagonal cupolae ("J"5) through 36 degrees before inserting the prism yields an elongated pentagonal orthobicupola ("J"38).
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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