Constrained

The filaments containing Mandelbrot and Nova circles are constrained in where they go as the are funnelled into points.

Parameters

Formula: Generalised Nova

z = transform(z)
z = z - alpha*(f(z)/f'(z)) + c
f(z) = z^beta - 1


alpha = 1 + 0i
beta = 2.5 + 0i

Programs: saturn and titan
Number of A transforms: 0
Number of B transforms: 0
Transform sequence: A
Number of Complex Plane transforms: 0
Initial values of z: 1 + 0i
Image centre: -0.547338868053333333 + 0.1276076032i
Image width: 0.03155582976
Rotation about image centre: 90 degrees
Maximum iterations: 1000
Bailout: norm(Δz) < 0.0156789
Colour selection: outer for bailout otherwise inner
Outer colouring: absolute log of exponential sum of magnitude
Inner colouring: fixed colour