411 REFERENCE · Wikibooks
Fractals/trigonometric
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
How to compute it
One can use Maxima CAS to find it :
(%i1) z: x+y*%i;
(%o1) %i*y+x
(%o2) %i*y+x
(%i3) realpart(sinh(z));
(%o3) sinh(x)*cos(y)
(%i8) trigrat(sinh(x));
(%o8) (%e^−x*(%e^(2*x)−1))/2
(%i11) expand(%);
(%o11) %e^x/2−%e^−x/2
sin(Z) =
cos(Z)
sinh(Z)
cosh(Z)
Images
See : :commons:Category:Trigonometric maps
right|thumb|This image shows the Julia set of acomplex function of the form f(z)=a*sin(z), where a is a suitably chosen number in the interval (0,1).
Videos
youtube : Spirals and Slarips by Gary Welz
See also
Thorn Fractal, alternatively named the "Secant Sea"
Paul Bourke : sinjulia fractal