Elongated pentagonal orthobirotunda
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| Elongated pentagonal orthobirotunda | |
|---|---|
 |
|
| Type | Johnson J41 - J42 - J43 |
| Faces | 20 triangles 10 squares 12 pentagons |
| Edges | 80 |
| Vertices | 40 |
| Vertex configuration | 10 of 3.42.5 10 of 3.5.42 20 of 3.5.3.5 |
| Symmetry group | D5h |
| Dual | - |
| Properties | convex |
In geometry, the elongated pentagonal orthobirotunda is one of the Johnson solids (J42). As the name suggests, it can be constructed by elongating a pentagonal orthobirotunda (J34) by inserting a decagonal prism between its congruent halves. Rotating one of the pentagonal rotundae (J6) through 36 degrees before inserting the prism yields the elongated pentagonal gyrobirotunda (J43).
The 92 Johnson solids were named and described by Norman Johnson in 1966.
