Elongated pentagonal gyrocupolarotunda
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In geometry, the elongated pentagonal gyrocupolarotunda is one of the Johnson solids (J41Script error: No such module "Check for unknown parameters".). As the name suggests, it can be constructed by elongating a pentagonal gyrocupolarotunda (J33Script error: No such module "Check for unknown parameters".) by inserting a decagonal prism between its halves. Rotating either the pentagonal cupola (J5Script error: No such module "Check for unknown parameters".) or the pentagonal rotunda (J6Script error: No such module "Check for unknown parameters".) through 36 degrees before inserting the prism yields an elongated pentagonal orthocupolarotunda (J40Script 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 gyrocupolarotunda" from Wolfram Alpha. Retrieved July 25, 2010.
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