Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
convex polyhedra
|
| gptkbp:field |
gptkb:geometry
polyhedral geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Dehn's theorem
|
| gptkbp:implies |
There exist polyhedra of equal volume that are not scissors-congruent.
|
| gptkbp:namedAfter |
gptkb:Max_Dehn
|
| gptkbp:relatedConcept |
gptkb:Dehn_invariant
scissors congruence |
| gptkbp:sentence |
A polyhedron is scissors-congruent to a cube if and only if it has the same volume and Dehn invariant as the cube.
|
| gptkbp:yearProposed |
1900
|
| gptkbp:bfsParent |
gptkb:Hilbert's_third_problem
|
| gptkbp:bfsLayer |
6
|