Many thanks to mathjp for sharing the new equations of his project http://scratch.mit.edu/projects/mathjp/1703749 ******** I did not choose new parameters, with which I could get more beautiful curves, because I wanted to make the experience of using the same lists of a, b, c, d that I used in my previous project http://scratch.mit.edu/projects/icampeao/1660143 (getting other curves, of course) So, perhaps my curves don't have beauty, but, for me, the wonder is the math: we see no complicated equations generate complicated but harmonious curves with great precision, like magic... That's what fascinates me in the projects that I enjoy more. ******** Music of video "Beauty Of Mathematics" - You Tube. ******** SEE BY FLASH PLAYER ******** P.S.: I "played" a little with the equations in some examples (not 1 radian, but 2, 0.5,... radian) - we can define functions :-)