Title: Oh what a lovely planet Post by: David Makin on July 09, 2014, 03:38:52 AM Oh what a lovely planet (http://nocache-nocookies.digitalgott.com/gallery/16/141_09_07_14_3_38_51.jpeg) http://www.fractalforums.com/index.php?action=gallery;sa=view;id=16378 A different way of using double 2 angles : If we get the angle around the 3rd axis giving: x^2-y^2 2*x*y ????? And double the angle around the x axis using: ????? y^2-z^2 2*y*z So if we take 2*x*y as the given "correct" new value for y then we can calculate the new z value such that both angles are maintained : x^2 -y^2 2*x*y 4*x*y^2*z/(y^2-z^2) Of course this gives a slight issue when the new angle around the x axis is 90 degrees i.e. when (y^2-z^2) is zero, but in such a case I've simply used 2*y*z as the new z value because in order to maintain the correct magnitude we have to fudge that anyway. I should add that the pic is from the degree 8 using the given method. |