| dc.contributor.author | Cohn, Henry | |
| dc.contributor.author | Conway, John H. | |
| dc.contributor.author | Elkies, Noam | |
| dc.contributor.author | Kumar, Abhinav | |
| dc.date.accessioned | 2009-04-13T16:34:27Z | |
| dc.date.issued | 2007 | |
| dc.identifier.citation | Cohn, Henry, John H. Conway, Noam D. Elkies, and Abhinav Kumar. 2007. The \(D_4\) root system is not universally optimal. Experimental Mathematics 16(3): 313-320. | en |
| dc.identifier.issn | 1058-6458 | en |
| dc.identifier.uri | http://nrs.harvard.edu/urn-3:HUL.InstRepos:2794814 | |
| dc.description.abstract | We prove that the \(D_4\) root system (equivalently, the set of vertices of the regular 24-cell) is not a universally optimal spherical code. We further conjecture that there is no universally optimal spherical code of 24 points in \(S^3\), based on numerical computations suggesting that every 5-design consisting of 24 points in \(S^3\) is in a 3-parameter family (which we describe explicitly, based on a construction due to Sali) of deformations of the \(D_4\) root system. | en |
| dc.description.sponsorship | Mathematics | en |
| dc.publisher | AK Peters | en |
| dc.relation.isversionof | http://akpeters.metapress.com/content/n1700h637u4tk136 | en |
| dash.license | LAA | |
| dc.title | The \(D_4\) Root System is Not Universally Optimal | en |
| dc.relation.journal | Experimental mathematics | en |
| dash.depositing.author | Elkies, Noam | |
| dc.identifier.doi | 10.1080/10586458.2007.10129008 | |
| dash.contributor.affiliated | Elkies, Noam | |
