Any Jordan curve of diameter 2R enclosing area A inscribes rectangles whose diagonal angles form a set of measure at least A/R².
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 2representative citing papers
A new Floer homology theory is built with chain complex generated by isosceles trapezoid inscriptions, proving their existence on every smooth Jordan curve and on new classes of non-smooth ones via action filtration spectral invariants.
citing papers explorer
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Jordan curves inscribe a positive measure of rectangles
Any Jordan curve of diameter 2R enclosing area A inscribes rectangles whose diagonal angles form a set of measure at least A/R².
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Inscriptions of Isosceles Trapezoids in Jordan Curves
A new Floer homology theory is built with chain complex generated by isosceles trapezoid inscriptions, proving their existence on every smooth Jordan curve and on new classes of non-smooth ones via action filtration spectral invariants.