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  • 51M20  (1)
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    Electronic Resource
    Electronic Resource
    Realizations of regular apeirotopes (1994)
    Springer
    Aequationes mathematicae 47 (1994), S. 223-239 
    Details
    ISSN: 1420-8903
    Keywords: 51M20
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary In an earlier paper, 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01832961
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