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arXiv · 1908.02251

Grid dissections of tangential quadrilaterals

Erica Choi·Dan Ismailescu·Jiho Lee·Joonsoo Lee
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Abstract

For any integer $n\ge 2$, a square can be partitioned into $n^2$ smaller squares via a checkerboard-type dissection. Does there such a class-preserving grid dissection exist for some other types of quadrilaterals? For instance, is it true that a tangential quadrilateral can be partitioned into $n^2$ smaller tangential quadrilaterals using an $n\times n$ grid dissection? We prove that the answer is affirmative for every integer $n\ge 2$.

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Erica Choi, Dan Ismailescu, Jiho Lee, Joonsoo Lee. 2019-08-06. Grid dissections of tangential quadrilaterals. https://arxiv.org/abs/1908.02251

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