Skip to main content
Log in

Self-reflecting skew polygons and polytopes in the 4-dimensional hypercube

  • Published:
Geometriae Dedicata Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Coxeter, H. S. M., ‘The Derivation of Schoenberg's Star-Polytopes from Schoute's Simplex Nets’, in The Geometric Vein, The Coxeter Festschrift, Springer-Verlag, 1981, pp. 149–164.

  2. König, D. and Szücs, A., ‘Mouvement d'un point abandonné a l'intérieur d'un cube’, Rend. Circ. Mat. Palermo 38 (1913), 79–90.

    Google Scholar 

  3. Schoenberg, I. J., ‘Extremum Problems for the Motions of a Billiard Ball, I. The L p -norm, 1≤p<∞. Indag. Math. 38 (1976), 66–75.

    Google Scholar 

  4. Schoenberg, I. J., ‘Extremum Problems for the Motions of a Billiard Ball. II. The L p -norm’, Indag. Math. 38 (1976), 263–279.

    Google Scholar 

  5. Schoenberg, I. J., ‘Extremum Problems for the Motions of a Billiard Ball, III. The Multidimensional Case of König and Szücs’, Studia Sci. Math. Hung. 13 (1978), 53–78.

    Google Scholar 

  6. Schoenberg, I. J., ‘Extremum Problems for the Motions of a Billiard Ball, IV. A Higher-Dimensional Analogue of Kepler's Stella Octangula’, Studia Sci. Math. Hung. 14 (1979), 273–292.

    Google Scholar 

  7. Schoenberg, I. J., Mathematical Time Exposures (a book soon to be published by the Mathematical Association of America).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Sponsored by the United States Army under Contract No. DAAG29-80-C-0041. γ

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schoenberg, I.J. Self-reflecting skew polygons and polytopes in the 4-dimensional hypercube. Geom Dedicata 14, 355–373 (1983). https://doi.org/10.1007/BF00181574

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00181574

Navigation