Elongated pentagonal orthocupolarotunda

Elongated pentagonal orthocupolarotunda

Infobox Polyhedron


Polyhedron_Type=Johnson
J39 - J40 - J41
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 orthocupolarotunda is one of the Johnson solids ("J"40). As the name suggests, it can be constructed by elongating a pentagonal orthocupolarotunda ("J"32) by inserting a decagonal prism between its halves. Rotating either the cupola or the rotunda through 36 degrees before inserting the prism yields an elongated pentagonal gyrocupolarotunda ("J"41).

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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