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Embeddability of Regular Polytopes and Honeycombs in Hypercubes

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The Geometric Vein

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References

  1. Assouad, P. and Deza. M., Embeddings of metric spaces in combinatorics and analysis (to appear).

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  2. Assouad, P., Plongements isométriques dans L 1: aspect analytique, Séminaire d’initiation à l’Analyse 1979–1980 (Paris 6).

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  3. Blake, I. F. and Gilchrist, J. H., Addresses for graphs. IEEE Transactions on Information Theory IT-19 (No. 5, 1973), 683–688.

    Article  MathSciNet  Google Scholar 

  4. Coxeter, H. S. M., Regular Polytopes, 2d ed. MacMillan, New York 1963.

    MATH  Google Scholar 

  5. Deza (Tylkin), M., On Hamming geometry of unitary cubes (Russian). Doklady Akad. Nauk SSSR 134 (No. 5, 1960), 1037–1040.

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  6. Djoković, D. Ž., Distance preserving subgraphs of hypercubes. J. Comb. Th. Ser. B 14 (1973), 263–267.

    Article  MATH  Google Scholar 

  7. Kelly, J. B., Hypermetric spaces. In The Geometry of Metric and Linear Spaces. Lecture Notes in Math. 490. Springer 1975.

    Google Scholar 

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Author information

Author notes

  1. Patrice Assouad

    Present address: Centre d’Orsay, Mathématiques, Université de Paris Sud, bâtiment 425, 91405, Orsay Cedex, France

Authors and Affiliations

  1. CNRS, France

    Patrice Assouad

  2. Université de Paris XI (Orsay), France

    Patrice Assouad

Authors
  1. Patrice Assouad
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Toronto, Toronto, M5S 1A1, Canada

    Chandler Davis  & F. A. Sherk  & 

  2. Department of Mathematics, University of Washington, Seattle, WA, 98195, USA

    Branko Grünbaum

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© 1981 Springer-Verlag New York Inc.

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Assouad, P. (1981). Embeddability of Regular Polytopes and Honeycombs in Hypercubes. In: Davis, C., Grünbaum, B., Sherk, F.A. (eds) The Geometric Vein. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5648-9_8

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  • DOI: https://doi.org/10.1007/978-1-4612-5648-9_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-5650-2

  • Online ISBN: 978-1-4612-5648-9

  • eBook Packages: Springer Book Archive

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