This week’s images are mostly from the same region, x-axis: (-1.308, 0.567), y-axis (-0.542, 1.351). I started with the Douady rabbit – setting C to -0.123 + 0.745i, with max iterations for these renderings set to 32 and the escape radius set to 1000.0.
Each of the following is produced by an adjustment to C (and aesthetic variation in the color mapping). This dragon-like picture comes from adding .1 to C (-0.023 + 0.745i):
From here, adding .1i to C (-0.023 + 0.845i) brings us these thick, jagged bolts:
Another little tweak of the real part of C, up to 0.027, transforms the set into this wonderful slender lighting:
I made one additional change, with the final C point set to 0.177 + 0.845i. The result was a set of elusive, scattered sparks – I zoomed in quite a bit to find a region I liked though the sparseness continues as one zooms in. This final picture shows the x-axis with range (-0.234, -0.206) and the y-axis range (0.5899, 0.624).
These images were all made with a new software program under development. You can follow us on Twitter, Instagram, and Facebook for updates, and more mathematical art!