Johnson solids
E620677
Johnson solids are a set of 92 strictly convex polyhedra with regular polygonal faces that are not uniform, distinguishing them from Platonic, Archimedean, and other well-known regular and semi-regular solids.
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
class of polyhedra
ⓘ
geometric objects ⓘ |
| are |
non-uniform
ⓘ
strictly convex ⓘ |
| areNot |
Archimedean solids
NERFINISHED
ⓘ
Platonic solids NERFINISHED ⓘ antiprisms ⓘ prisms ⓘ |
| areSubsetOf | convex polyhedra with regular faces ⓘ |
| countIncludes |
J1
ⓘ
J92 ⓘ |
| definingProperty |
faces are regular polygons
ⓘ
finite set of 92 solids ⓘ not uniform polyhedra ⓘ strictly convex polyhedra ⓘ |
| distinguishedFrom |
Archimedean solids
NERFINISHED
ⓘ
Platonic solids NERFINISHED ⓘ antiprisms ⓘ infinite families of uniform polyhedra ⓘ prisms ⓘ |
| faceType | regular polygons ⓘ |
| field |
geometry
ⓘ
polyhedral geometry ⓘ |
| firstDescribedBy | Norman Johnson NERFINISHED ⓘ |
| firstDescribedIn | Canadian Journal of Mathematics NERFINISHED ⓘ |
| hasCardinality | 92 ⓘ |
| haveProperty |
each solid has a finite number of edges
ⓘ
each solid has a finite number of faces ⓘ each solid has a finite number of vertices ⓘ |
| includes |
augmented forms
ⓘ
bicupolae ⓘ birotundas ⓘ cupola-rotundas ⓘ cupolae ⓘ diminished forms ⓘ elongated forms ⓘ gyroelongated forms ⓘ pyramids ⓘ rotundas ⓘ |
| indexingScheme | labeled J1 through J92 ⓘ |
| J1 | square pyramid ⓘ |
| J2 | pentagonal pyramid ⓘ |
| J3 | triangular cupola ⓘ |
| J4 | square cupola ⓘ |
| J5 | pentagonal cupola ⓘ |
| J6 | pentagonal rotunda ⓘ |
| namedAfter | Norman Johnson NERFINISHED ⓘ |
| publicationYear | 1966 ⓘ |
| verificationBy | Viktor Zalgaller NERFINISHED ⓘ |
| verificationYear | 1969 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.