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 A361604 #10 Mar 26 2025 08:32:08
%S A361604 7,3,8,9,9,5,9,8,6,2,8,7,6,0,5,1,0,1,7,9,6,3,4,1,1,3,5,6,1,5,8,3,5,8,
%T A361604 2,4,7,6,4,8,1,5,9,1,7,6,4,7,0,6,0,2,0,9,4,3,0,0,4,9,7,8,0,3,0,0,5,8,
%U A361604 7,8,3,6,3,1,8,7,1,3,8,6,4,6,1,7,2,9,7,4,8,3,7,4,5,7,0,9,1,3,6,8,0,3,0,0,3
%N A361604 Decimal expansion of the median of the distribution of disorientation angles between two identical cubes (in radians).
%C A361604 The probability distribution function of disorientation angles was calculated for random rotations uniformly distributed with respect to Haar measure (see, e.g., Rummler, 2002).
%C A361604 See A361601 for more details.
%C A361604 The angle in degrees is 42.3413510913...
%H A361604 Amiram Eldar, <a href="/A361602/a361602.txt">Mathematica code for A361602, A361603 and A361604</a>.
%H A361604 D. C. Handscomb, <a href="https://doi.org/10.4153/CJM-1958-010-0">On the random disorientation of two cubes</a>, Canadian Journal of Mathematics, Vol. 10 (1958), pp. 85-88.
%H A361604 J. K. Mackenzie, <a href="http://www.jstor.org/stable/2333059">Second Paper on Statistics Associated with the Random Disorientation of Cubes</a>, Biometrika, Vol. 45, No. 1-2 (1958), pp. 229-240.
%H A361604 J. K. Mackenzie and M. J. Thomson, <a href="http://www.jstor.org/stable/2333253">Some Statistics Associated with the Random Disorientation of Cubes</a>, Biometrika, Vol. 44, No. 1-2 (1957), pp. 205-210.
%H A361604 Hansklaus Rummler, <a href="https://doi.org/10.1007/BF03025318">On the distribution of rotation angles how great is the mean rotation angle of a random rotation?</a>, The Mathematical Intelligencer, Vol. 24, No. 4 (2002), pp. 6-11; <a href="https://core.ac.uk/download/pdf/159153606.pdf">alternative link</a>.
%H A361604 Wikipedia, <a href="https://en.wikipedia.org/wiki/Misorientation">Misorientation</a>.
%F A361604 Equals c such that Integral_{t=0..c} P(t) dt = 1/2, where P(t) is given in the Formula section of A361602.
%e A361604 0.73899598628760510179634113561583582476481591764706...
%t A361604 (* See the program in the links section. *)
%Y A361604 Cf. A361601, A361602, A361603.
%K A361604 nonn,cons
%O A361604 0,1
%A A361604 _Amiram Eldar_, Mar 17 2023