http://wiki.waggy.org/dokuwiki/ 2010-01-22T03:15:59-05:00 http://wiki.waggy.org/dokuwiki/ http://wiki.waggy.org/dokuwiki/lib/images/favicon.ico text/html 2010-01-13T21:16:25-05:00 dw http://wiki.waggy.org/dokuwiki/quaternion?rev=1263435385&do=diff Quaternions --- David Wagner 2010/01/13 19:16 Here are some quaternion functions. * . * . * . * . * . * . * . * . * For real p: ; , where . * See here for quaternion p. For real p. * * * . = = text/html 2010-01-13T19:27:39-05:00 dw http://wiki.waggy.org/dokuwiki/mandelbulb?rev=1263428859&do=diff PoV-Ray Mandelbulbs --- David Wagner 2009/11/27 03:53 I also posted some animations on YouTube. [Rear View of the Power Eight Mandelbulb Iteration Seven Isosurface] [Front View of the Power Eight Mandelbulb Iteration Six Isosurface] [Another View of the Tail of the Power Eight Mandelbulb, Iteration Six Isosurface] [One of the "Knob Gardens" on the Power Eight Mandelbulb at Seven Iterations] [Closeup of the "Dragon Crest" on the Power Two Mandelbulb] [Another Rendering of the "Dragon Crest"] … text/html 2010-01-13T19:26:41-05:00 dw http://wiki.waggy.org/dokuwiki/quaternion/qpowq?rev=1263428801&do=diff pow(qq,qp) --- David Wagner 2009/12/31 18:42 Raising a quaternion to a quaternion power is loads of fun. First, expand ln(q) p . ln(q) p = + + + . q^p Now, find exp(l_w) = = Finally, substitute these into the expression for the exponent.