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The Johnson solids are named after American mathematician Norman Johnson (1930–2017), who published a list of 92 such polyhedra in 1966. His conjecture that the list was complete and no other examples existed was proven by Russian-Israeli mathematician Victor Zalgaller (1920–2020) in 1969.
The enumeration of Johnson solids may be denoted as , where denoted the list's enumeration (an example is denoted the first Johnson solid, the equilateral square pyramid). [7] The following is the list of ninety-two Johnson solids, with the enumeration followed according to the list of Johnson (1966) :
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. ...
Nominator(s): Dedhert.Jr 07:18, 7 June 2024 (UTC) [] This is my first time nominating FL, and I hope this meets all the criteria of FL.One reason I am nominating this for the featured list is because it is a complete list of Johnson solids, along with the surface area and volume, as well as the symmetry.
As far as I'm concerned, the article Johnson solid itself explains the definition of Johnson solid, its naming, and their properties. I have no idea why this article is already disorganized into more tables. The article List of Johnson solids is solely a summary of that article, and it focuses on the list of all 92 Johnson solids.
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] Related Johnson solids are:
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.
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 ...