Winged Jewel

[element90]

Winged Jewel



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=8347

Space filling patterns inside the body of a transformed Mandelbrot using a variation of the way the transform is applied and generalised formula.

Parameters

Formula: Tzcpac

z = transform(z^alpha) + c

alpha = 2 + 0i
Number of Transforms: 3
Transform 1: rotation, 40 degrees
Transform 2: translation, -1
Transform 3: top right
Complex plane transform: none
Initial values of z: c
Image centre: -1.255393 - 0.791431i
Long side: 0.000788
Rotation about image centre: 30 degrees
Bailout condition: norm(z) > 16
Maximum iterations: 100
Colour selection: outer for bailout otherwise inner
Outer colouring: not applicable all points are inner
Inner colouring: absolute log of variance in magnitude
Programs: saturn and titan