Elongated pentagonal cupola
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In geometry, the elongated pentagonal cupola is one of the Johnson solids (J20Script error: No such module "Check for unknown parameters".). As the name suggests, it can be constructed by elongating a pentagonal cupola (J5Script error: No such module "Check for unknown parameters".) by attaching a decagonal prism to its base. The solid can also be seen as an elongated pentagonal orthobicupola (J38Script error: No such module "Check for unknown parameters".) with its "lid" (another pentagonal cupola) removed.
Formulas
The following formulas for the volume and surface area can be used if all faces are regular, with edge length a:[1]
Dual polyhedron
The dual of the elongated pentagonal cupola has 25 faces: 10 isosceles triangles, 5 kites, and 10 quadrilaterals.
| Dual elongated pentagonal cupola | Net of dual |
|---|---|
| File:Dual elongated pentagonal cupola.png | File:Dual elongated pentagonal cupola net.png |
References
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- ↑ Stephen Wolfram, "Elongated pentagonal cupola" from Wolfram Alpha. Retrieved July 22, 2010.
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