Four-sided pegs fitting round holes fit all smooth holes – Andrew Lobb (Durham University)


Aula Magna - Dipartimento di Matematica


Given a smooth Jordan curve and a cyclic quadrilateral (a cyclic quadrilateral is a quadrilateral that can be inscribed in a circle) we show that there exist four points on the Jordan curve forming the vertices of a quadrilateral similar to the one given. No prior knowledge of anything assumed. Joint work with Josh Greene.

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