cp's OEIS Frontend

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.

A338004 Decimal expansion of the angle of association yielding the gyroid relative to Schwarz's D surface.

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%I A338004 #13 Feb 05 2025 00:19:19
%S A338004 6,6,3,4,8,2,9,7,0,5,1,1,4,3,4,8,0,8,0,5,7,5,6,8,8,4,7,4,3,7,2,3,9,9,
%T A338004 5,0,0,0,5,0,4,2,8,9,8,5,1,5,6,9,6,2,5,5,4,5,7,1,8,2,4,4,9,9,5,0,5,9,
%U A338004 3,3,1,5,0,9,3,7,7,6,8,3,8,5,0,6,8,1,0,9,7,9,1,5,6,8,7,8,5,8,9,8,7,3,3,3,0,1,0,9,0,8,3,3,8,9,1,3,9,4,5,4
%N A338004 Decimal expansion of the angle of association yielding the gyroid relative to Schwarz's D surface.
%C A338004 For every minimal surface, an associate family of minimal surfaces can be defined by adding an angle of association to the base surface's Weierstrass-Enneper parametrization.
%C A338004 If the base is Schwarz's D surface, an angle of association of Pi/2 yields Schwarz's P surface; this entry is the only other angle for which the resulting associate surface - the gyroid - is embedded.
%H A338004 A. Schoen, <a href="https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19700020472.pdf">Infinite Periodic Minimal Surfaces Without Self-Intersections</a>, NASA Technical Note D-5541, 1970.
%H A338004 A. Schoen, <a href="https://schoengeometry.com/e-tpms.html">Triply-periodic minimal surfaces</a>
%H A338004 Wikipedia, <a href="https://en.wikipedia.org/wiki/Associate_family">Associate family</a>
%F A338004 Equals arctan(K(1/4) / K(3/4)), where K is the complete elliptic integral of the first kind.
%e A338004 0.66348297051143480805756884743723...
%e A338004 In degrees: 38.0147739891080681076130861019883...
%t A338004 First@ RealDigits@ N[ArcTan[EllipticK[1/4] / EllipticK[3/4]], 120]
%o A338004 (PARI) atan(ellK(1/2)/ellK(sqrt(3/4))) \\ _Charles R Greathouse IV_, Feb 05 2025
%Y A338004 Cf. A249282 (K(1/4)), A249283 (K(3/4)).
%K A338004 nonn,cons
%O A338004 0,1
%A A338004 _Jeremy Tan_, Oct 06 2020