Analogs of Steiner's porism and Soddy's hexlet in higher dimensions via spherical codes (Q1791629)
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| Language | Label | Description | Also known as |
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| English | Analogs of Steiner's porism and Soddy's hexlet in higher dimensions via spherical codes |
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Analogs of Steiner's porism and Soddy's hexlet in higher dimensions via spherical codes (English)
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10 October 2018
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The paper under review deals with configurations of spheres in \(\mathbb R^n\) and provides a clever method for deriving far-reaching multidimensional generalizations of classical results concerning \textit{Steiner's porism} in \(\mathbb R^2\) and \textit{Soddy's hexlet} in \(\mathbb R^3\). The construction is based on the use of kissing arrangements of spheres in \(\mathbb R^n\), spherical packings and spherical codes.
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Steiner's porism
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Soddy's hexlet
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spherical code
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kissing arrangement
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