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.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| truncated cube | 1 |
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 ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
truncated cube