John D. Cook shared a picture of "pretty squiggles" on his blog, as well as a prose description of the mathematics behind it.
I'm more of a programmer than a mathematician, but I've attempted to transcribe his description into a SAS program. I used DATA step to generate the point values, and then PROC SGPLOT and the SERIES statement to plot them.
/* Create a data set with the 3 sets of data points */ data squiggle; do time=-100 to 100 by 0.01; blue = sin(time); /* hope I've got the golden ratio (phi) correct */ green = 0.7 * sin( ((1+sqrt(5))/2) * time ); red = blue+green; output; end; run; ods graphics / width=2000 height=200; /* Plot the data using a series of SERIES plots */ proc sgplot data=squiggle noautolegend; series x=time y=blue / lineattrs=(color=blue pattern=solid); series x=time y=green / lineattrs=(color=green pattern=solid); series x=time y=red / lineattrs=(color=red pattern=solid); xaxis display=none ; yaxis display=none ; run;
/* a variation that uses a BAND plot instead */ proc sgplot data=squiggle noautolegend; band x=time lower=0 upper=blue / transparency=0.6 fillattrs=(color=blue); band x=time lower=0 upper=green / transparency=0.6 fillattrs=(color=green); band x=time lower=0 upper=red / transparency=0.6 fillattrs=(color=red); xaxis display=none; yaxis display=none grid; run;
I don't understand all of the topics that John covers in his blog, but I'm a regular reader anyway. As with Rick Wicklin's blog, I tend to feel smarter while I read it, even though I don't have the ability to explain what I've read to anyone else.