Square gyrobicupola
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In geometry, the square gyrobicupola is one of the Johnson solids (J29Script error: No such module "Check for unknown parameters".). Like the square orthobicupola (J28Script error: No such module "Check for unknown parameters".), it can be obtained by joining two square cupolae (J4Script error: No such module "Check for unknown parameters".) along their bases. The difference is that in this solid, the two halves are rotated 45 degrees with respect to one another.
The square gyrobicupola is the second in an infinite set of gyrobicupolae.
Related to the square gyrobicupola is the elongated square gyrobicupola. This polyhedron is created when an octagonal prism is inserted between the two halves of the square gyrobicupola.
Formulae
The following formulae for volume and surface area can be used if all faces are regular, with edge length a:[1]
Related polyhedra and honeycombs
The square gyrobicupola forms space-filling honeycombs with tetrahedra, cubes and cuboctahedra; and with tetrahedra, square pyramids, and elongated square bipyramids. (The latter unit can be decomposed into elongated square pyramids, cubes, and/or square pyramids).[2]
References
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- ↑ Stephen Wolfram, "Triangular gyrobicupola" from Wolfram Alpha. Retrieved July 23, 2010.
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