Realizations of regular apeirotopes (Q1323548)
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scientific article; zbMATH DE number 579708
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Realizations of regular apeirotopes |
scientific article; zbMATH DE number 579708 |
Statements
Realizations of regular apeirotopes (English)
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4 July 1994
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The author's summary: ``In an earlier paper [the author, ibid. 37, No. 1, 38-56 (1989; Zbl 0676.51008)], a theory of realizations of (finite) regular polytopes in euclidean spaces was developed. Here, the analogous problem of realizing regular apeirotopes (infinite polytopes) is investigated. While no complete theory is expounded, several basic results are established. Among these is the curious fact that, if a regular apeirotope has a discrete realization, then it has one with no translations in its symmetry group''.
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realization of abstract polytopes
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infinite polytopes
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regular apeirotopes
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symmetry group
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