Elongated pentagonal orthobirotunda

Elongated pentagonal orthobirotunda

Infobox Polyhedron


Polyhedron_Type=Johnson
J41 - J42 - J43
Face_List=2.10 triangles
2.5 squares
2+10 pentagons
Edge_Count=80
Vertex_Count=40
Symmetry_Group="D"5h
Vertex_List=20(3.42.5)
2.10(3.5.3.5)
Dual=-
Property_List=convex

In geometry, the elongated pentagonal orthobirotunda is one of the Johnson solids ("J"42). As the name suggests, it can be constructed by elongating a pentagonal orthobirotunda ("J"34) by inserting a decagonal prism between its congruent halves. Rotating one of the pentagonal rotundae ("J"6) through 36 degrees before inserting the prism yields the elongated pentagonal gyrobirotunda ("J"43).

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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