It’s the last Fractal Friday of the year, time for some recursive magic!
This week we’re exploring the Mandelbrot set, using two features of the Mathaesthetics prototype software: deep color mapping, and a new helpful zoom feature.
Here’s where we start:
In this image, there’s a color mapping with 10 different colors at various levels of iteration-result, from 1 to 300. This is both a more diverse color mapping and deeper-iteration delve than I’ve done before, although you can’t tell yet from the image above. Here’s a screenshot of the prototype app, showing the higher-end of the color mapping assignments and other settings:
The colors at 1 and 300 are the same (a deep dark blue), and you mostly just see gradations to the orange color set for iteration level 20 above. We have to zoom in to start seeing the other iteration levels, especially those that take over 100 or 200 iterations to hit the breakout threshold of 10.0.
Fortunately I hooked up a new UI feature this week, a click-and-drag zoom feature that lets me zoom to a tiny (but still aspect-ratio-preserving) part of the image.
Series A zooms toward (-1.075885, 0.2433465)
Zoom series B ends up around (-0.766362, 0.1001006)
Zoom series C ends up in the region of (-1.94310614143, 0.001727529425)
