McLaren's Improved Snub Cube and Other New Spherical Designs in Three Dimensions

@article{Hardin1996McLarensIS,
  title={McLaren's Improved Snub Cube and Other New Spherical Designs in Three Dimensions},
  author={Ronald H. Hardin and N. J. A. Sloane},
  journal={Discrete & Computational Geometry},
  year={1996},
  volume={15},
  pages={429-441}
}
Evidence is presented to suggest that, in three dimensions, spherical 6-designs with N points exist for N = 24, 26, ≥ 28; 7-designs for N = 24, 30, 32, 34, ≥ 36; 8-designs for N = 36, 40, 42, ≥ 44; 9-designs for N = 48, 50, 52, ≥ 54; 10-designs for N = 60, 62, ≥ 64; 11-designs for N = 70, 72, ≥ 74; and 12-designs for N = 84, ≥ 86. The existence of some of these designs is established analytically, while others are given by very accurate numerical coordinates. The 24-point 7-design was first… CONTINUE READING
BETA
Highly Influential
This paper has highly influenced 14 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 286 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

Explore Further: Topics Discussed in This Paper

Citations

Publications citing this paper.
SHOWING 1-10 OF 103 CITATIONS, ESTIMATED 36% COVERAGE

286 Citations

01020'98'03'09'15
Citations per Year
Semantic Scholar estimates that this publication has 286 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
SHOWING 1-10 OF 24 REFERENCES

Some constructions of spherical 5-designs

  • B. Reznick
  • Linear Algebra and Its Applications
  • 1995
Highly Influential
8 Excerpts

The football

  • J.-M. Goethals, J. J. Seidel
  • Nieuw Archief Wisk, 29
  • 1981
Highly Influential
5 Excerpts

Spherical codes and designs

  • P. Delsarte, J.-M. Goethals, J. J. Seidel
  • Geom. Dedicata, 6
  • 1977
Highly Influential
4 Excerpts

Sphere Packing

  • J. H. Conway, N.J.A. Sloane
  • Lattices and Groups, Springer-Verlag, NY, 2nd ed.
  • 1993
2 Excerpts

Spherical Codes , book in preparation

  • T. A. Jeeves
  • J . Statist . Planning and Inference
  • 1993

Spherical Faraday cage for the case of equal point changes and Chebyshev-type quadrature

  • J. Korevaar, J.L.H. Meyers
  • J. Integral Transforms and Special Functions, 1
  • 1993
1 Excerpt

paper presented at Amer

  • B. Bajnok
  • Math. Soc. meeting, College Station, Texas, Oct…
  • 1993
2 Excerpts

Similar Papers

Loading similar papers…