Title: Lyapunov Post by: Kalter Rauch on August 12, 2016, 10:05:17 AM Lyapunov inversion...
(http://i305.photobucket.com/albums/nn212/fotox13/Lyapunov1.jpg) (http://s305.photobucket.com/user/fotox13/media/Lyapunov1.jpg.html) Impasto... (http://i305.photobucket.com/albums/nn212/fotox13/Lyapunov1a.jpg) (http://s305.photobucket.com/user/fotox13/media/Lyapunov1a.jpg.html) Title: Re: Lyapunov Post by: Kalter Rauch on August 14, 2016, 05:41:41 AM (http://i305.photobucket.com/albums/nn212/fotox13/Lyapunov2b.jpg) (http://s305.photobucket.com/user/fotox13/media/Lyapunov2b.jpg.html)
Same base image...different impasto... (http://i305.photobucket.com/albums/nn212/fotox13/Lyapunov2a.jpg) (http://s305.photobucket.com/user/fotox13/media/Lyapunov2a.jpg.html) Title: Re: Lyapunov Post by: Kalter Rauch on February 05, 2017, 04:14:39 AM Previous image redone...
(http://i305.photobucket.com/albums/nn212/fotox13/Lyapunov1a1.jpg) (http://s305.photobucket.com/user/fotox13/media/Lyapunov1a1.jpg.html) Title: Re: Lyapunov Post by: Kalter Rauch on May 29, 2017, 08:33:58 PM (http://i305.photobucket.com/albums/nn212/fotox13/Lyapunov7o.png) (http://s305.photobucket.com/user/fotox13/media/Lyapunov7o.png.html)
Title: Re: Lyapunov Post by: Kalter Rauch on May 29, 2017, 08:35:45 PM (http://i305.photobucket.com/albums/nn212/fotox13/Lyapunov9.png) (http://s305.photobucket.com/user/fotox13/media/Lyapunov9.png.html)
Title: Re: Lyapunov Post by: Kalter Rauch on May 29, 2017, 08:39:34 PM Mapped to a sphere with GIMP...
(http://i305.photobucket.com/albums/nn212/fotox13/Lyapunov9b.png) (http://s305.photobucket.com/user/fotox13/media/Lyapunov9b.png.html) Title: Re: Lyapunov Post by: Kalter Rauch on May 29, 2017, 09:11:33 PM Note per last Lyupanov... I added both Joukowski and Rieman-Zeta transformations which yielded convoluted local inversions of features as well as concentric banding at top/bottom middle. The central region seems to have been constrained into a nearly Julia-like symmetry. There is one further matter... the formula used has a kind of "Easter Egg" within the sequence parameter such that a normal sequence (eg. 1212332121), when replaced by a random sequence (eg. 2873541756) causes a much more meaningfully detailed drawing. I have found nothing about using tat kind of sequence. |