Online Fractal Generator - UsefulJS
The Online Fractal Generator is a web application for generating fractals using JavaScript, canvas and web workers. Formulae: Mandelbrot set, Julia sets, Multibrot sets and multijulia sets for any power of z, Newtonian fractals for any polynomial, Phoenix fractal, rational maps, Burning Ship fractal and Julia sets.
Online Fractal Generator - UsefulJS
All fractal images produced by this application use either a Mandelbrot-style iteration or a Julia-style iteration, possibly with minor variations (for example, the Nova fractal is obtained by a Mandelbrot-style iteration, but with z 0 = CONSTANT).
Online Fractal Generator - UsefulJS
The advanced options allow you to tweak internal values that control the appearance of the fractal image. Most of the options are properties of the individual fractal definitions. Any changes that you make will only last until you change the Fractal formula.
Online Fractal Generator - UsefulJS
The Online Fractal Generator is a web application for generating and exploring fractals using various formulae. It is built on top of mandel.js, a multithreaded fractal generation and visualization library, which you may download and use to create your own applications under the terms of the Apache 2.0 licence. Acknowledgements
Online Fractal Generator - UsefulJS
The Phoenix Fractal. The Phoenix fractal formula takes the quadratic formula and adds feedback from the previous values of the iteration: z k+1 = z k 2 + c + P·z k-1. P is an additional complex parameter to the iteration. If it is equal to 0, we have the standard quadratic iteration function. The initial values are:
Online Fractal Generator - UsefulJS
Nova Fractals. The Nova fractal applies Newton's method and adds the pixel value on each iteration: f(z k) z k+1 = z k - R·----- + c fʹ(z k) It gives us an additional parameter to play with, the value of z 0 which may be either an arbitrary complex number or the pixel value, signified by "c". Iteration stops when the difference between two ...
Online Fractal Generator - UsefulJS
The Mandelbrot set for P=2. The Multibrot sets show P -1 rotational symmetry - you can rotate the z 4 Mandelbrot set through 120° and obtain the same image. One geometric feature is apparent immediately. For a given power P, the Mandelbrot set has P -1 cusps.
The Online Fractal Generator - UsefulJS
What Is a Fractal? The Five Minute Guide to Complex Numbers. The Five Minute Guide to Calculus. Julia Sets and The Mandelbrot Set. Mandelbrot and Julia Sets Using Other Powers of z. Rational Maps. Variations on the Mandelbrot Set Formula. Newton's Method. Newtonian Fractals.
Online Fractal Generator - UsefulJS
Basin colouring for Newtonian fractals requires us to know the roots of the function before we generate the fractal. We can also anticipate a future requirement of identifying critical points of a function for generating Mandelbrot sets. Therefore, we need a generic root finding algorithm.
Online Fractal Generator
The Online Fractal Generator is a web application for generating fractals using JavaScript, canvas and web workers. Formulae: Mandelbrot set, Julia sets, Multibrot sets and multijulia sets for any power of z, Newtonian fractals for any polynomial, Phoenix fractal, rational maps, Burning Ship fractal and Julia sets.