Editing Johnson solid (section)

== Properties ==
As the definition above, a Johnson solid is a convex polyhedron with regular polygons as their faces. However, there are several properties possessed by each of them.
* All but five of the 92 Johnson solids are known to have the [[Rupert property]], meaning that it is possible for a larger copy of themselves to pass through a hole inside of them. The five which are not known to have this property are: [[gyrate rhombicosidodecahedron]], [[parabigyrate rhombicosidodecahedron]], [[metabigyrate rhombicosidodecahedron]], [[trigyrate rhombicosidodecahedron]], and [[paragyrate diminished rhombicosidodecahedron]].{{r|fred}}
* From all of the Johnson solids, the [[elongated square gyrobicupola]] (also called the pseudorhombicuboctahedron) is unique in being locally vertex-uniform: there are four faces at each vertex, and their arrangement is always the same: three squares and one triangle. However, it is not [[vertex-transitive]], as it has different isometry at different vertices, making it a Johnson solid rather than an [[Archimedean solid]].{{r|cromwell|grunbaum|lz}}