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Realizations of regular apeirotopes (1994)

McMullen, Peter

Springer

Aequationes mathematicae 47 (1994), S. 223-239

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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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