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Valiunas, M; Zappa, E; Thomas, B (2016)
Publisher: Tessellations Publishing
Languages: English
Types: Other
Subjects:

Classified by OpenAIRE into

arxiv: Mathematics::Metric Geometry, Mathematics::Combinatorics, Computer Science::Graphics, Computer Science::Computers and Society
We study sections of high dimensional polytopes whose vertices form the orbit of a Coxeter group, and create “scans”of such polytopes in order to graphically visualise them for educational and public engagement purposes.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] H.S.M. Coxeter. Regular polytopes. Dover Publications, Inc. New York, 1973.
    • [2] M. Artin. Algebra. Prentice-Hall, 1991.
    • [3] N. McCarthy, D. Ogilvie, N. Zobin, and V. Zobin. Convex geometry of Coxeter-invariant polyhedra. Contemporary Mathematics, 321:153-179, 2003.
    • [4] J.E. Humphreys. Reflection groups and Coxeter groups. Cambridge University Press, 1990.
    • [5] G.M. Ziegler. Lectures on polytopes. Springer-Verlag, New York, 1995.
    • [6] E. Zappa. New group theoretical methods for applications in virology and quasicrystals. PhD thesis, University of York, 2015.
  • No related research data.
  • No similar publications.

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