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A uniform polyhedron is a polyhedron in which the faces are regular and they are isogonal; examples include Platonic and Archimedean solids as well as prisms and antiprisms. [3] The Johnson solids are named after American mathematician Norman Johnson (1930–2017), who published a list of 92
A Johnson solid is a convex polyhedron whose faces are all regular polygons. [1] Here, a polyhedron is said to be convex if the shortest path between any two of its vertices lies either within its interior or on its boundary, none of its faces are coplanar (meaning they do not share the same plane, and do not "lie flat"), and none of its edges are colinear (meaning they are not segments of the ...
In mathematics, a Johnson solid is a type of convex polyhedron. Pages in category "Johnson solids" The following 97 pages are in this category, out of 97 total. ...
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]
[1] [2] Some examples of non-composite polyhedron are the prisms, antiprisms, and the other seventeen Johnson solids. [1] [3] Among the regular polyhedra, the regular octahedron and regular icosahedron are composite. [4] One of the Johnson solids, elongated square pyramid, is composite.
The pentagonal bipyramid with the regular faces is among the numbered Johnson solids as , the thirteenth Johnson solid. [10] It is an example of a composite polyhedron because it is constructed by attaching two regular pentagonal pyramids. [11] [2]
In geometry, the gyroelongated square pyramid is the Johnson solid that can be constructed by attaching an equilateral square pyramid to a square antiprism. It occurs in chemistry; for example, the square antiprismatic molecular geometry.
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] It can be constructed as a rhombicosidodecahedron with ...