Smith \(40\)-point code[1,2] 

Description

A \((10,40,1/6)\) spherical code found by W. D. Smith [1] and conjectured to be optimal in terms of minimizing potential energy functions [2]. A beautified set of coordinates can be found on the site [1].

Parent

Cousin

References

[1]
Sloane, N. J. A., R. H. Hardin, and W. D. Smith. "Tables of spherical codes." collaboration with R. H. Hardin, W. D. Smith and others. Published electronically at https://neilsloane.com/packings/ (2004).
[2]
B. Ballinger, G. Blekherman, H. Cohn, N. Giansiracusa, E. Kelly, and A. Schürmann, “Experimental Study of Energy-Minimizing Point Configurations on Spheres”, Experimental Mathematics 18, 257 (2009) arXiv:math/0611451 DOI
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Zoo Code ID: smith_spherical

Cite as:
“Smith \(40\)-point code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/smith_spherical
BibTeX:
@incollection{eczoo_smith_spherical, title={Smith \(40\)-point code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/smith_spherical} }
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Permanent link:
https://errorcorrectionzoo.org/c/smith_spherical

Cite as:

“Smith \(40\)-point code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/smith_spherical

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/spherical/sharp_config/smith_spherical.yml.