$fractalworks$

#FRACTALWORKS FOR MAC#
#FRACTALWORKS UPDATE#
#FRACTALWORKS CODE#
#FRACTALWORKS PASSWORD#
#FRACTALWORKS SERIES#

FractalWorks also highlights various parts of the picture and applies slight color changes in crowded areas. In addition, the built-in color scheme system offers grate control over the colors of your image that can change according to the loaded plot. Thus, you can change the amplitude, the wave cutoff and iteration by typing new values.

$fractalworks$

#FRACTALWORKS UPDATE#

Thanks to the Live update plot feature you will be able to view the applied changes in real time while the Waves panel helps you add customizable waves to the plot.

#FRACTALWORKS SERIES#

In the left panel you have a series of tools designed to help you rotate, zoom, pan, crop and change the light as well as the texture of your 3D renderings with just a few mouse clicks. You can also generate stereo images that can be viewed as parallel, anaglyph or cross-eye images.

#FRACTALWORKS PASSWORD#

The installation process is pretty simple as you only have to provide your Apple ID and password and confirm your purchase.įrom FractalWorks' main window you will be able to generate 3D renderings using standard fractal images. This is where FractalWorks steps in to save the day by offering limitless sources of inspiration.įractalWorks is a straightforward fractal renderer capable to generate gorgeous unique images based on the Julia and Mandelbrot mathematical set of points.įractalWorks can be download and installed via the App Store in exchange for $9.99. Here's a comparison of those two algorithms for $z^2 - 0.77967939051932 + 0.Artists, web and fashion designers have to come up new, original ideas every day and sometimes it is difficult to find a new source of inspiration. This is particularly useful for certain hard to generate Julia sets, as described in this answer. One thing that's nice about that version is that (with all the algebraic machinery that Mathematica has to offer), it's not hard to write a program that works for higher order polynomials or rational functions.Īnother technique to get the boundary is called 'boundary scanning'. That program has been been built into the Mathematica kernel since V10. The basic ideas behind inverse iteration, it's modification appear, and implementation for Mathematica were described in this 1998 paper.

$fractalworks$

#FRACTALWORKS CODE#

Viewing the page source, it's pretty easy to find this Javascript code for the program. Sure! This little web app generates images of Julia sets for functions of the form $f_c(z) = z^2+c$ using the modified inverse iteration algorithm as described in 'The Beauty of Fractals' and 'The Science of Fractal Images'. (My app does not yet support IIM or any other method for plotting Julia sets other than filled Julia sets.)Īre there sample implementations of rendering Julia set boundaries that I could study? The best I can do with my app is to plot the Julia set using Distance Estimates and crank up the boundary I draw: Note how the interior structure is faint and does not connect like the image from the book. The JavaScript app recommended in the answer looks like this: Note the complex, connected interior structure. The image from 'The Beauty of Fractals' is a complex number Julia set from the equation Zₓ₊₁ = Zₓ² + C. It talks about using the inverse iteration method, and various other methods that divide the complex plane into a grid of rectangles and keeping track of how many times a rectangle is visited as you iterate the points in a plot in order to identify periodic points.Īre there sample implementations of rendering Julia set boundaries that I could study? (I'm fluent in C and several other C-family languages, and can usually figure out other languages well enough to read them, so the language isn't that important.) EDIT: There is a chapter in 'The Beauty of Fractals' titled 'Juila Sets and Their Computergraphical Generation', but I find it hard to follow. I use trig, algebra, some linear algebra and matrix math all the time as a developer.)

$fractalworks$

(I took AP calculus in high school almost 40 years ago, so my advanced math is pretty rusty. I own copies of both 'The Beauty of Fractals' and 'The Science of Fractal Images', but struggle with the heavier mathematics in those texts. It does not, however, render just the boundaries of Julia sets. It renders filled Julia sets using either iteration counts or DE data. (See this article for a writeup on the app: ) It creates 2D and 3D images of Mandelbrot and Julia sets (using complex numbers and the formula Zₓ₊₁ = Zₓ² + C.) It includes support for Distance Estimates (DE) and fractional iteration values, and creates 3D height maps using DE data.

$fractalworks$

#FRACTALWORKS FOR MAC#

I have a commercial application, FractalWorks, for Mac OS.

$fractalworks$

Fractalworks