Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Toeplitz'_conjecture
|
| gptkbp:category |
conjectures
unsolved problems in mathematics |
| gptkbp:conjecturedIn |
1911
|
| gptkbp:field |
gptkb:geometry
gptkb:topology |
| gptkbp:hasConjecture |
gptkb:Otto_Toeplitz
|
| https://www.w3.org/2000/01/rdf-schema#label |
inscribed rectangle problem
|
| gptkbp:notableContributor |
gptkb:Vladimir_Arnold
gptkb:Richard_Schwartz gptkb:Benjamin_Matschke |
| gptkbp:partialResults |
true for convex curves
true for rectangles of certain aspect ratios true for smooth curves |
| gptkbp:relatedTo |
gptkb:inscribed_square_problem
gptkb:unit_circle gptkb:Jordan_curve |
| gptkbp:sentence |
Every Jordan curve in the plane contains the four vertices of a rectangle.
|
| gptkbp:status |
open problem
|
| gptkbp:bfsParent |
gptkb:Klee's_hammer_problem
|
| gptkbp:bfsLayer |
6
|