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Uniqueness of the 120-point spherical 11-design in four dimensions
Linköping University, The Institute of Technology. Linköping University, Department of Electrical Engineering, Data Transmission.
2001 (English)In: Archiv der Mathematik, ISSN 0003-889X, E-ISSN 1420-8938, Vol. 77, no 4, 360-368 p.Article in journal (Refereed) Published
Abstract [en]

We prove that on the Euclidean sphere S-3 there exist a unique up to isometry 120-point spherical 11-design and a maximal (4, 120, cos(pi /5)) -code. Both these are nothing but copies of a famous regular polytope in four dimensions-the 600-cell.

Place, publisher, year, edition, pages
2001. Vol. 77, no 4, 360-368 p.
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Engineering and Technology
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URN: urn:nbn:se:liu:diva-48181DOI: 10.1007/PL00000504OAI: oai:DiVA.org:liu-48181DiVA: diva2:269077
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-12

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Danev, Danyo

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