As a counter, I found that if you add an incorrect statement or fact that lies completely outside the realm of the logic-attractor for a given topic that the output is severally degraded. Well more like a statement or fact that's "orthogonal" to the logic-attractor for a topic. Very much as if it's struggling to stay on the logic-attractor path but the outlier fact causes it to stray.
Sometimes less is more.
> It may diverge to infinity, for the range (+- 2) used here for each parameter this is the most likely event. These are also easy to detect and discard, indeed they need to be in order to avoid numerical errors.
https://superliminal.com/fractals/bbrot/
The above image shows the overall entire Buddhabrot object. To produce the image only requires some very simple modifications to the traditional mandelbrot rendering technique: Instead of selecting initial points on the real-complex plane one for each pixel, initial points are selected randomly from the image region or larger as needed. Then, each initial point is iterated using the standard mandelbrot function in order to first test whether it escapes from the region near the origin or not. Only those that do escape are then re-iterated in a second, pass. (The ones that don't escape - I.E. which are believed to be within the Mandelbrot Set - are ignored). During re-iteration, I increment a counter for each pixel that it lands on before eventually exiting. Every so often, the current array of "hit counts" is output as a grayscale image. Eventually, successive images barely differ from each other, ultimately converging on the one above.
Is it possible to use the Buddhabrot technique on the lyapunov fractals ?
zparky•1h ago
cs702•49m ago