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any triangle can be cut into bicentric 2019 bicentric quadrilaterals

Source: Tournament of Towns, Senior O-Level , Spring 2019 p3

May 11, 2020
bicentric quadrilateralTilingcombinatoricscombinatorial geometrycut

Problem Statement

Prove that any triangle can be cut into 20192019 quadrilaterals such that each quadrilateral is both inscribed and circumscribed.
(Nairi Sedrakyan)