rhombicuboctahedron
E620678
A rhombicuboctahedron is a highly symmetrical Archimedean solid composed of 26 faces (8 triangular and 18 square), 24 identical vertices, and 48 edges.
All labels observed (2)
| Label | Occurrences |
|---|---|
| rhombicuboctahedron canonical | 1 |
| truncated cube | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6801806 — 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: rhombicuboctahedron Context triple: [Archimedean solids, hasElement, rhombicuboctahedron]
-
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.
Rhomboidal Pyramid
The Rhomboidal Pyramid, better known as the Bent Pyramid, is an ancient Egyptian pyramid at Dahshur notable for its unusual change in angle partway up its sides, giving it a distinctive bent profile.
-
C.
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.
-
D.
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.
-
E.
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.
- 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: rhombicuboctahedron Target entity description: A rhombicuboctahedron is a highly symmetrical Archimedean solid composed of 26 faces (8 triangular and 18 square), 24 identical vertices, and 48 edges.
-
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.
Rhomboidal Pyramid
The Rhomboidal Pyramid, better known as the Bent Pyramid, is an ancient Egyptian pyramid at Dahshur notable for its unusual change in angle partway up its sides, giving it a distinctive bent profile.
-
C.
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.
-
D.
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.
-
E.
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.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
Archimedean solid
ⓘ
convex polyhedron ⓘ |
| belongsToFamily | cubic-octahedral family ⓘ |
| canBeTruncatedFrom |
cube
ⓘ
octahedron ⓘ |
| hasAlternativeName | small rhombicuboctahedron NERFINISHED ⓘ |
| hasCircumscribableProperty | can be inscribed in a sphere ⓘ |
| hasCoxeterDiagram | ◯—4—◯—3—◯ ⓘ |
| hasCoxeterGroup | B3 ⓘ |
| hasDihedralAngle | between square and triangle faces ⓘ |
| hasDiscoveryAttribution | known since antiquity in study of regular-like solids ⓘ |
| hasDualPolyhedron | deltoidal icositetrahedron ⓘ |
| hasEdgeCountRelation | each edge shared by 1 triangle and 1 square ⓘ |
| hasEdgeGraph | 4-regular graph on 24 vertices ⓘ |
| hasEulerCharacteristic | 2 ⓘ |
| hasFaceCountByType | {triangle:8, square:18} ⓘ |
| hasFaceCountRelation | 8 triangles + 18 squares ⓘ |
| hasFaceTransitivityType | two orbits of faces ⓘ |
| hasFaceType |
square
ⓘ
triangle ⓘ |
| hasInscribableProperty | faces tangent to a sphere ⓘ |
| hasIsogonalProperty | all vertices equivalent under symmetry ⓘ |
| hasIsotoxalProperty | all edges equivalent under symmetry ⓘ |
| hasNet | multiple distinct nets ⓘ |
| hasNumberOfEdges | 48 ⓘ |
| hasNumberOfFaces | 26 ⓘ |
| hasNumberOfSquareFaces | 18 ⓘ |
| hasNumberOfTriangularFaces | 8 ⓘ |
| hasNumberOfVertices | 24 ⓘ |
| hasRelatedPolyhedron |
cuboctahedron
ⓘ
great rhombicuboctahedron NERFINISHED ⓘ truncated cube ⓘ truncated octahedron ⓘ |
| hasSchlafliSymbol | 4.3^2 ⓘ |
| hasSymmetryGroup | octahedral symmetry ⓘ |
| hasUniformNotation | U13 ⓘ |
| hasVertexConfiguration | 3.4.4.4 ⓘ |
| hasVertexFigure | isosceles right triangle ⓘ |
| hasWythoffSymbol | 3 | 2 4 ⓘ |
| isConvex | true ⓘ |
| isEdgeTransitive | true ⓘ |
| isFaceTransitive | false ⓘ |
| isHighlySymmetrical | true ⓘ |
| isUniformPolyhedron | true ⓘ |
| isVertexTransitive | true ⓘ |
| isZonohedron | true ⓘ |
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: rhombicuboctahedron Description of subject: A rhombicuboctahedron is a highly symmetrical Archimedean solid composed of 26 faces (8 triangular and 18 square), 24 identical vertices, and 48 edges.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
truncated cube