411 REFERENCE · Wiktionary
Johnson solid
Reference material by Wiktionary contributors. This retains its source identity and is not 411 news reporting.
English
right|thumb|A square pyramid, an example of a Johnson solid
Etymology
From en Johnson a surname + en solid, after American mathematician Norman Johnson (mathematician) Norman Johnson, who listed them in 1966.
Noun
en geometry Any of a class of convex polyhedra that have regular faces but are not uniform (that is, not Platonic solids, Archimedean solids, prisms, or antiprisms).
1986 April, Andrew Hume, Folding Regular Polyhedra, AUUGN: Australian Unix Users Group Newsletter, Volume 6, Number 5, page 40,
The Johnson solids, combined with the Archimedean polyhedra and five of the regular polyhedra, constitute all the possible convex polyhedra with regular faces.[Excluding the two infinite classes described below (prisms and antiprisms).]
en 2003 Rona Gurkewitz; Bennett Arnstein Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality https://books.google.com.au/books?id=47fCAgAAQBAJ&pg=PA2&dq=%22Johnson+solid%22%7C%22Johnson+solids%22&hl=en&sa=X&ved=0ahUKEwicuffHkuHMAhVC-mMKHTUUB-YQ6AEIOjAF#v=onepage&q=%22Johnson%20solid%22%7C%22Johnson%20solids%22&f=false 2 There are other possible models that we have not written about and for which we do not include pictures. namely the Johnson solids and their truncations [2]. (The egg[truncated hexadecahedron] is an approximation of a truncation of a Johnson solid.)
en 2012 Thomas Hull Project Origami: Activities for Exploring Mathematics 2nd https://books.google.com.au/books?id=blvSBQAAQBAJ&pg=PA159&dq=%22Johnson+solid%22%7C%22Johnson+solids%22&hl=en&sa=X&ved=0ahUKEwicuffHkuHMAhVC-mMKHTUUB-YQ6AEITjAJ#v=onepage&q=%22Johnson%20solid%22%7C%22Johnson%20solids%22&f=false 159 Students will be very unlikely to discover very many of the Johnson solids on their own. Someone may come up with the triangular and pentagonal dipyramids, but the others are just not very intuitive. Once students are convinced that there are no other possibilities than the ones they've come up with, then it is time to unveil some of the more complicated Johnson solids.
Synonyms
convex non-uniform polyhedron that has regular faces Johnson polyhedron
Translations
convex non-uniform polyhedron that has regular faces
Italian: it solido di Johnson m
Japanese: ja ジョンソンの立体 jonson no rittai
Polish: pl wielościan Johnsona m-in
Further reading
List of Johnson solids
en eponyms
en Polyhedra