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We start the story at the end, rather than the beginning, by first proving that there are precisely 5 Platonic solids. We then prove the orbit-stabiliser theorem and use this to determine the symmetry groups of these Platonic solids.

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Platonic and Archimedean solids and special orthogonal groups

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  • 发表日期：

    2025年

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  • Chris Bowman

摘要

We start the story at the end, rather than the beginning, by first proving that there are precisely 5 Platonic solids. We then prove the orbit-stabiliser theorem and use this to determine the symmetry groups of these Platonic solids.