This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A339262 #13 Aug 02 2025 11:11:12 %S A339262 2,2,1,8,7,1,1,1,3,1,5,4,5,3,9,9,4,0,3,2,4,7,2,8,2,7,5,1,1,2,8,4,1,7, %T A339262 0,1,3,8,1,0,7,2,5,3,7,4,6,6,3,3,4,4,3,8,1,7,5,0,0,4,9,0,8,4,2,0,1,0, %U A339262 0,8,1,2,7,9,9,0,9,1,8,1,4,8,8,4,6,3,3 %N A339262 Decimal expansion of the conjecturally maximum possible volume of a polyhedron with 10 vertices inscribed in the unit sphere. %C A339262 The polyhedron (see linked illustration) has vertices at the poles and two square rings of vertices rotated by Pi/4 against each other, with a polar angle of approx. +-62.89908285 degrees against the poles. The polyhedron is completely described by this angle and its order 16 symmetry. It would be desirable to know a closed formula representation of this angle and the volume. %H A339262 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, <a href="http://neilsloane.com/maxvolumes">Maximal Volume Spherical Codes</a>. %H A339262 Hugo Pfoertner, <a href="http://www.randomwalk.de/sphere/volmax/pages/10.htm">Visualization of Polyhedron</a>, (1999). %H A339262 Hugo Pfoertner, <a href="http://www.randomwalk.de/sphere/volmax/videos/10c.mp4">Number of edges incident with the 10 vertices</a>, video (2021). %e A339262 2.218711131545399403247282751128417013810725374663344381750049084201... %Y A339262 Cf. A010527 (volume of double 5-pyramid), A081314, A081366, A122553 (volume of octahedron), A339259, A339260, A339261, A339263. %K A339262 nonn,cons %O A339262 1,1 %A A339262 _Hugo Pfoertner_, Dec 07 2020