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A counter-example to a conjecture.

Affine-conjugation to move the critical point to 0 to avoid precision loss.

In which various initial guesses for Newton's method are tested.

Two ways of rendering the 4D Mandelbrot/Julia/Buddhabrot hologram.

Reject lower periods, and iteratively perturb a known cycle along a path.

Rejecting lower periods by division, instead of checking later.

Distance estimated Newton fractal for a rational function with zeros at {1, i, -1, -i} and poles at {-2, 2}.

Rejecting lower preperiods instead of checking later.

Using Newton's method.

Rebasing from a reference point.

Handwritten notes on various properties.

An xmas present for someone special.

Derived from distance estimation for Julia sets.

finding tuned branch points

speeding up external ray tracing