Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Euler's_polyhedron_formula
|
| gptkbp:appliesTo |
convex polyhedra
|
| gptkbp:E |
number of edges
|
| gptkbp:excludes |
non-convex polyhedra
polyhedra with holes |
| gptkbp:F |
number of faces
|
| gptkbp:formedBy |
gptkb:Leonhard_Euler
1758 |
| gptkbp:generalizes |
gptkb:Euler_characteristic
|
| gptkbp:hasWikidataID |
gptkb:Q193614
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euler's theorem (polyhedra)
|
| gptkbp:publishedIn |
gptkb:Elementa_doctrinae_solidorum
|
| gptkbp:relatedTo |
gptkb:topology
graph theory |
| gptkbp:sentence |
For any convex polyhedron, V - E + F = 2
|
| gptkbp:usedIn |
classification of Platonic solids
proofs in topology |
| gptkbp:via |
number of vertices
|
| gptkbp:bfsParent |
gptkb:Euler
gptkb:Leonard_Euler |
| gptkbp:bfsLayer |
7
|