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arXiv · 2108.01135

Rectangles conformally inscribed in lines

Bruce Olberding·Elaine A. Walker
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Abstract

A parallelogram is conformally inscribed in four lines in the plane if it is inscribed in a scaled copy of the configuration of four lines. We describe the geometry of the three-dimensional Euclidean space whose points are the parallelograms conformally inscribed in sequence in these four lines. In doing so, we describe the flow of inscribed rectangles by introducing a compact model of the rectangle inscription problem.

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Bruce Olberding, Elaine A. Walker. 2021-08-02. Rectangles conformally inscribed in lines. https://arxiv.org/abs/2108.01135

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