Minimal covers of the Archimedean tilings. I (Q456324)
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scientific article; zbMATH DE number 6098348
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal covers of the Archimedean tilings. I |
scientific article; zbMATH DE number 6098348 |
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Minimal covers of the Archimedean tilings. I (English)
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24 October 2012
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Summary: We discuss representations of non-finite polyhedra as quotients of regular polytopes. We provide some structural results about the minimal regular covers of non-finite polyhedra and about the stabilizer subgroups of their flags under the flag action of the automorphism group of the covering polytope. As motivating examples we discuss the minimal regular covers of the Archimedean tilings, and we construct explicit minimal regular covers for three of them.
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abstract polytope
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uniform tiling
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Archimedean tiling
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quotient polytope
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regular cover
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string \(C\)-group
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