OFFSET
0,3
COMMENTS
Volume of regular tetrahedron with unit edge. - Stanislav Sykora, May 31 2012
In the dragon curve fractal, (5/6)*sqrt(2) = 1.1785.... is the maximum distance of any point from curve start. Such a maximum must be to a vertex of the convex hull. Hull vertices are shown by Benedek and Panzone (theorem 3, page 85) and their P8 = 7/6 - (1/6)i at distance sqrt((7/6)^2 + (1/6)^2) is the maximum. - Kevin Ryde, Nov 22 2019
LINKS
Ivan Panchenko, Table of n, a(n) for n = 0..1000
Agnes I. Benedek and Rafael Panzone, On Some Notable Plane Sets, II: Dragons, Revista de la Unión Matemática Argentina, volume 39, numbers 1-2, 1994, pages 76-90.
Wikipedia, Tetrahedron.
Wikipedia, Platonic solid.
FORMULA
Equals Integral_{x=0..Pi/4} sin(x)^2 * cos(x) dx. - Amiram Eldar, May 31 2021
EXAMPLE
0.117851130197757920733474...
MATHEMATICA
RealDigits[sqrt(2)/12, 10, 50][[1]] (* G. C. Greubel, Jul 06 2017 *)
PROG
(PARI) sqrt(2)/12 \\ G. C. Greubel, Jul 06 2017
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
STATUS
approved