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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Johnson solids canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6801798 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Johnson solids Context triple: [Archimedean solids, relatedTo, Johnson solids]
-
A.
Archimedean solids
Archimedean solids are a set of thirteen highly symmetric, semi-regular convex polyhedra characterized by identical vertices and faces composed of more than one type of regular polygon.
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B.
Platonic solids
Platonic solids are the five highly symmetrical, convex polyhedra (tetrahedron, cube, octahedron, dodecahedron, and icosahedron) that have identical regular polygonal faces and are fundamental in geometry and classical philosophy.
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C.
Kepler–Poinsot polyhedra
The Kepler–Poinsot polyhedra are the four regular star polyhedra that extend the concept of Platonic solids into non-convex, self-intersecting forms.
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D.
The Fifty-Nine Icosahedra
The Fifty-Nine Icosahedra is a classic mathematical monograph by H. S. M. Coxeter that systematically classifies and analyzes the distinct stellations of the regular icosahedron.
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E.
Steinmetz solid
The Steinmetz solid is a three-dimensional geometric shape formed by the intersection of two or more cylinders at right angles, often studied in calculus and solid geometry for its interesting volume and symmetry properties.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Johnson solids Target entity description: 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.
-
A.
Archimedean solids
Archimedean solids are a set of thirteen highly symmetric, semi-regular convex polyhedra characterized by identical vertices and faces composed of more than one type of regular polygon.
-
B.
Platonic solids
Platonic solids are the five highly symmetrical, convex polyhedra (tetrahedron, cube, octahedron, dodecahedron, and icosahedron) that have identical regular polygonal faces and are fundamental in geometry and classical philosophy.
-
C.
Kepler–Poinsot polyhedra
The Kepler–Poinsot polyhedra are the four regular star polyhedra that extend the concept of Platonic solids into non-convex, self-intersecting forms.
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D.
The Fifty-Nine Icosahedra
The Fifty-Nine Icosahedra is a classic mathematical monograph by H. S. M. Coxeter that systematically classifies and analyzes the distinct stellations of the regular icosahedron.
-
E.
Steinmetz solid
The Steinmetz solid is a three-dimensional geometric shape formed by the intersection of two or more cylinders at right angles, often studied in calculus and solid geometry for its interesting volume and symmetry properties.
- F. None of above. chosen
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 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Johnson solids Description of subject: 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.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.