Type JohnsonJ9 - J10 - J11 Edges 20 Vertex configuration 1(3)4(3.4)4(3) | Faces 3.4 triangles1 square Vertices 9 Symmetry group C4v, [4], (*44) | |
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In geometry, the gyroelongated square pyramid is one of the Johnson solids (J10). As its name suggests, it can be constructed by taking a square pyramid and "gyroelongating" it, which in this case involves joining a square antiprism to its base.
Contents
A Johnson solid is one of 92 strictly convex polyhedra that have regular faces but are not uniform (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.
Applications
The Gyroelongated square pyramid represents the capped square antiprismatic molecular geometry:
Dual polyhedron
The dual of the gyroelongated square pyramid has 9 faces: 4 trapezoidal, 1 square and 4 pentagonal.
References
Gyroelongated square pyramid Wikipedia(Text) CC BY-SA