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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. ...
[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.
Twelve of the 92 Johnson solids are derived from the rhombicosidodecahedron, four of them by rotation of one or more pentagonal cupolae: the gyrate, parabigyrate, metabigyrate, and trigyrate rhombicosidodecahedron. Eight more can be constructed by removing up to three cupolae, sometimes also rotating one or more of the other cupolae.
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]
Three years and $10 million in legal fees later, a judge found that Johnson had not been mentally competent when he signed his will, and ordered Piasecka to pay Johnson's children $160 million. 8 ...
It is called an equilateral square pyramid, an example of a Johnson solid. Square pyramids have appeared throughout the history of architecture, with examples being Egyptian pyramids and many other similar buildings. They also occur in chemistry in square pyramidal molecular structures.