Elongated pentagonal orthobicupola

Elongated pentagonal orthobicupola

Infobox Polyhedron


Polyhedron_Type=Johnson
"J"37 - J38 - J39
Face_List=10 triangles
2.5+10 squares
2 pentagons
Edge_Count=60
Vertex_Count=30
Symmetry_Group="D"5h
Vertex_List=20(3.43)
10(3.4.5.4)
Dual=-
Property_List=convex

In geometry, the elongated pentagonal orthobicupola is one of the Johnson solids ("J"38). As the name suggests, it can be constructed by elongating a pentagonal orthobicupola ("J"30) by inserting a decagonal prism between its two congruent halves. Rotating one of the cupolae through 36 degrees before inserting the prism yields an elongated pentagonal gyrobicupola ("J"39).

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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