An unfolded gyroelongated square cupolaAn unfolded gyroelongated square cupola, faces colored by symmetry
In geometry, the gyroelongated square cupola is one of the Johnson solids (J23). As the name suggests, it can be constructed by gyroelongating a square cupola (J4) by attaching an octagonal antiprism to its base. It can also be seen as a gyroelongated square bicupola (J45) with one square bicupola removed.
A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids, Archimedean solids, prisms, or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.[1]
^Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics, 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603.
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gyroelongated pentagonal cupola is one of the Johnson solids (J24). As the name suggests, it can be constructed by gyroelongating a pentagonal cupola...
In geometry, the gyroelongated cupolae are an infinite set of polyhedra, constructed by adjoining an n-gonal cupola to an 2n-gonal antiprism. There are...
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constructed in such a way are elongated triangular cupola J 18 {\displaystyle J_{18}} , gyroelongated triangular cupola J 22 {\displaystyle J_{22}} , triangular...
In geometry, the gyroelongated bicupolae are an infinite sets of polyhedra, constructed by adjoining two n-gonal cupolas to an n-gonal Antiprism. The...
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an n-gonal cupola to an 2n-gonal prism. There are three elongated cupolae that are Johnson solids made from regular triangles and square, and pentagons...
aligned, while gyro forms are counter aligned. Bicupola Elongated cupolaGyroelongated bicupola Norman W. Johnson, "Convex Solids with Regular Faces", Canadian...
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of the angles of a cube are relaxed, it can be deformed into a non-right square prism or even into a rhombohedron with no right angle at all. There is no...