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arXiv · 1309.7101

SO(2)-congruent projections of convex bodies with rotation about the origin

Benjamin Mackey
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Abstract

We prove that if two convex bodies $ K, L \subset \mathbb{R}^3$ satisfy the property that the orthogonal projections of $K$ and $L$ onto every plane containing the origin are roations of each other, then either $K$ and $L$ coincide or $L$ is the image of $K$ under a reflection about the origin

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Benjamin Mackey. 2013-09-27. SO(2)-congruent projections of convex bodies with rotation about the origin. https://arxiv.org/abs/1309.7101

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