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%I #49 Mar 09 2023 03:36:14
%S 3,0,5,2,4,1,8,4,6,8,4,2,4,3,7,4,8,5,6,6,9,7,2,0,0,5,3,1,9,3,2,1,8,6,
%T 2,5,4,5,6,8,3,9,3,2,1,0,6,4,2,9,8,3,7,1,1,0,9,0,4,9,2,0,0,3,0,7,7,6,
%U 6,1,2,0,3,8,0,7,5,2,9,5,4,9,8,0,5,5,4,5,4,0,8,4,2,6,5,6,1,2,5,4,7,8,4,1,8
%N Decimal expansion of the Oloid's volume.
%H Uwe Bäsel, <a href="http://arxiv.org/abs/1604.07245">The mean width of the oloid and integral geometric applications of it</a>, arXiv preprint arXiv:1604.07245 [math.MG], 2016.
%H H. Dirnboeck and H. Stachel, <a href="http://www.heldermann-verlag.de/jgg/jgg01_05/jgg0113.pdf">The Development of the Oloid</a>, Journal for Geometry and Graphics, Volume 1, No. 2 (1997), 105-118.
%H Robert Ferréol (MathCurve), <a href="http://www.mathcurve.com/surfaces.gb/orthobicycle/orthobicycle.shtml">Oloid</a>.
%H Steven R. Finch, <a href="http://arxiv.org/abs/1211.4514v3">Convex Hull of Two Orthogonal Disks</a>, arXiv:1211.4514v3 [math.MG], 2016, p. 14.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Oloid.html">Oloid</a>.
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Oloid">Oloid</a>.
%e 3.052418468424374856697200531932186254568393210642983711090492003...
%p 2/3*(EllipticK(sqrt(3)/2)+2*EllipticE(sqrt(3)/2)); evalf(%, 120); # _R. J. Mathar_, Aug 11 2012, corrected by _Vaclav Kotesovec_, Apr 22 2015
%t v[r_] := 2/3*(EllipticK[3/4] + 2*EllipticE[3/4])*r^3; RealDigits[N[v[1], 105]] // First
%K nonn,cons
%O 1,1
%A _Jean-François Alcover_, Aug 10 2012
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