Elongated pentagonal gyrobicupola
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In geometry, the elongated pentagonal gyrobicupola is one of the Johnson solids (J39Script error: No such module "Check for unknown parameters".). As the name suggests, it can be constructed by elongating a pentagonal gyrobicupola (J31Script error: No such module "Check for unknown parameters".) by inserting a decagonal prism between its congruent halves. Rotating one of the pentagonal cupolae (J5Script error: No such module "Check for unknown parameters".) through 36 degrees before inserting the prism yields an elongated pentagonal orthobicupola (J38Script error: No such module "Check for unknown parameters".).
Formulae
The following formulae for volume and surface area can be used if all faces are regular, with edge length a:[1]
References
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- ↑ Stephen Wolfram, "Elongated pentagonal gyrobicupola" from Wolfram Alpha. Retrieved July 25, 2010.
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