Elongated pentagonal orthocupolarotunda
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| Elongated pentagonal orthocupolarotunda | |
|---|---|
 |
|
| Type | Johnson J39 - J40 - J41 |
| Faces | 3.5 triangles 3.5 squares 2+5 pentagons |
| Edges | 70 |
| Vertices | 35 |
| Vertex configuration | 10(3.43) 10(3.42.5) 5(3.4.5.4) 2.5(3.5.3.5) |
| Symmetry group | C5v |
| Dual | - |
| Properties | convex |
In geometry, the elongated pentagonal orthocupolarotunda is one of the Johnson solids (J40). As the name suggests, it can be constructed by elongating a pentagonal orthocupolarotunda (J32) 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 (J41).
The 92 Johnson solids were named and described by Norman Johnson in 1966.
