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We prove that if two convex bodies $ K, L \subset \mathbb{R}^3$ satisfy theproperty that the orthogonal projections of $K$ and $L$ onto every planecontaining 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

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