Elongated pentagonal gyrocupolarotunda
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| Elongated pentagonal gyrocupolarotunda | |
|---|---|
 |
|
| Type | Johnson J40 - J41 - J42 |
| 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 gyrocupolarotunda is one of the Johnson solids (J41). As the name suggests, it can be constructed by elongating a pentagonal gyrocupolarotunda (J33) by inserting a decagonal prism between its halves. Rotating either the pentagonal cupola (J5) or the pentagonal rotunda (J6) through 36 degrees before inserting the prism yields an elongated pentagonal orthocupolarotunda (J40).
The 92 Johnson solids were named and described by Norman Johnson in 1966.
