Uniqueness of the 120-point spherical 11-design in four dimensions
- Cite this article as:
- Boyvalenkov, P. & Danev, D. Arch. Math. (2001) 77: 360. doi:10.1007/PL00000504
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We prove that on the Euclidean sphere S3 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.