Mandelbrot Type Menu, contains some of the mandelbrot type variations.
Formulas Menu, contains some of the formulas created by fractal enthusiasts.
Lambda, lets you change the function to .
Magnet Type Menu, contains the magnet type variations.
Root Finding Methods Menu, lets you use some iterative methods to find the roots of a function.
Barnsley Type Menu, contains the barnsley type variations.
Szegedi Butterfly Type Menu, contains the szegedi butterfly type variations.
Nova, lets you set the function to one of the root finding methods,
Newton:
Halley:
Schroder:
Householder:
Secant: ,
Steffensen: ,
Muller: ,
Parhalley: ,
Laguerre: ,
where . The exponent and the relaxation are given by the user.
The famous Nova fractal can be obtained by setting the initial value to 1 + 0i.
While using the Nova function, Bailout Conditions, Bailout, and Periodicity Checking
options will be disabled.
Spider, lets you change the function to , .
Manowar, lets you change the function to , , .
Phoenix, lets you change the function to , , ,
where .
Sierpinski Gasket, lets you change the function to .
While using this function Periodicity Checking, Perturbation, Initial Value, Julia, and Julia Map
options will be disabled.
Frothy Basin, lets you change the function to
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Math Library Type Menu, contains the math library type variations.
User Formulas Type Menu, lets you define your own formulas.
Most of the above functions follow the same pattern, excluding Root Finding Methods and Magnet functions. A pixel will either stay bounded (norm < bailout), or it will escape to infinity (norm >= bailout).
While using any function, except Mandelbrot, Distance Estimator option will be disabled.
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