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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:alsoKnownAs
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gptkb:inscribed_square_problem
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gptkbp:category
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unsolved problems in mathematics
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gptkbp:field
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gptkb:geometry
gptkb:topology
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https://www.w3.org/2000/01/rdf-schema#label
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square peg problem
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gptkbp:notableAchievement
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Proved for piecewise linear curves by Emch (1913)
Proved for smooth curves by Schnirelmann (1944)
Proved for all algebraic curves by Stromquist (1989)
Proved for locally monotone curves by Vrećica and Živaljević (2011)
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gptkbp:notablePerson
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gptkb:Vladimir_Arnold
gptkb:Otto_Toeplitz
gptkb:Lev_Schnirelmann
gptkb:Arnold_Emch
gptkb:B._J._Stromquist
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gptkbp:proposedBy
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gptkb:Otto_Toeplitz
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gptkbp:relatedTo
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gptkb:inscribed_rectangle_problem
gptkb:Jordan_curve
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gptkbp:sentence
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Every simple closed curve in the plane contains four points that are the vertices of a square.
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gptkbp:solvedBy
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convex curves
piecewise smooth curves
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gptkbp:status
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open problem
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gptkbp:yearProposed
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1911
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gptkbp:bfsParent
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gptkb:Toeplitz_conjecture
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gptkbp:bfsLayer
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7
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