caa a22 4500 475741943 CHVBK 20180406123501.0 cr unu---uuuuu 170329e20000401xx s 000 0 eng 10.1007/BF02676396 doi (NATIONALLICENCE)springer-10.1007/BF02676396 Andreev N. M. V. Lomonosov Moscow State University, USSR aut A minimal design of order 11 on the 3-sphere [Elektronische Daten] [N. Andreev] We prove that the 120 vertices of the regular four-dimensional polyhedron with the Schläfli symbol {3, 3, 5} form a minimal spheric design of order 11 onS 3. It is shown that the system of equal charges at these vertices provides the minimal potential energy among all systems of 120 equal charges onS 3. Kluwer Academic/Plenum Publishers, 2000 minimal designs nationallicence configuration of charges nationallicence extremal problems nationallicence Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 67/4(2000-04-01), 417-424 0001-4346 67:4<417 2000 67 11006 https://doi.org/10.1007/BF02676396 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02676396 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Andreev N. M. V. Lomonosov Moscow State University, USSR aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 67/4(2000-04-01), 417-424 0001-4346 67:4<417 2000 67 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer