Johnson solids are not vertex-transitive
E620679
Johnson solids are a finite set of strictly convex polyhedra with regular polygonal faces that are neither uniform nor vertex-transitive, distinguished from Platonic and Archimedean solids by their irregular vertex configurations.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Johnson solids | 0 |
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
class of polyhedra
ⓘ
finite set ⓘ |
| areCataloguedBy | J1 to J92 ⓘ |
| areConvex | true ⓘ |
| areConvexPolyhedra | true ⓘ |
| areEdgeTransitive | false ⓘ |
| areFaceTransitive | false ⓘ |
| areFiniteInNumber | true ⓘ |
| areNonUniformConvexPolyhedra | true ⓘ |
| areNotInfiniteFamilies | true ⓘ |
| areNotKeplerPoinsotSolids | true ⓘ |
| areNotStarPolyhedra | true ⓘ |
| areThreeDimensional | true ⓘ |
| areUniform | false ⓘ |
| areVertexTransitive | false ⓘ |
| definedBy | Norman Johnson NERFINISHED ⓘ |
| definitionYear | 1966 ⓘ |
| differFrom |
Archimedean solids by lack of uniformity
ⓘ
Platonic solids by lack of vertex-transitivity ⓘ antiprisms by more complex combinatorial structure ⓘ prisms by more complex combinatorial structure ⓘ |
| distinguishedFrom |
Archimedean solids
NERFINISHED
ⓘ
Platonic solids NERFINISHED ⓘ antiprisms ⓘ prisms ⓘ |
| edgeTransitivity | not edge-transitive in general ⓘ |
| enumeratedBy | Norman Johnson NERFINISHED ⓘ |
| faceTransitivity | not face-transitive in general ⓘ |
| hasCardinality | 92 ⓘ |
| hasFaceType | regular polygons ⓘ |
| hasProperty |
non-antiprismatic
ⓘ
non-prismatic ⓘ non-uniform polyhedra ⓘ not vertex-transitive ⓘ strictly convex ⓘ |
| hasSymmetryProperty |
generally low symmetry
ⓘ
not vertex-transitive ⓘ |
| hasVertexConfiguration | irregular ⓘ |
| haveEqualAngles | not necessarily ⓘ |
| haveEqualEdgeLengths | not necessarily ⓘ |
| haveMixedFaceTypes | often ⓘ |
| haveRegularButNonIdenticalFaces | true ⓘ |
| haveRegularFaces | true ⓘ |
| sharedProperty | all faces are regular polygons ⓘ |
| sharePropertyWith | Platonic solids NERFINISHED ⓘ |
| verificationYear | 1969 ⓘ |
| verifiedBy | Viktor Zalgaller NERFINISHED ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.