Best Mandelbrot Software

16-09-2021 by

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Explore the famous Mandelbrot Set fractal with a fast and natural real-time scroll/zoom interface, much like a street map. You can view additional useful information such as the graph axes and the corresponding Julia set for any point in the picture.

  1. By default, the board uses the Mandelbrot Engine in the FPGA fabric to generate the fractal images. Image data generated by the Mandelbrot Engine is written to a buffer in the external SDRAM, then read by the video pipeline and sent to the HDMI interface. Block Diagram – FPGA Operation.
  2. Download Mandelbrot Set Explorer for Windows to explore the Mandelbrot set fractals. Join or Sign In. Sign in to add and modify your software. Continue with email. Best for customer support.

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Requirements for Jux

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Operating System: Windows 2k/XP/Vista/7/8/10 (32 or 64 Bits)

Note: Jux Installer needs Windows 7SP1 or later

It should also run on Mac or Linux using any Windows emulation

Multi-core cpu is good; the graphics card is not important

Jux for Windows

Jux is a fractal explorer for 2D Julia and Mandelbrot sets. It includes a variety of formulas. It has beautiful coloring and lighting effects. It is easy to use. There is no formula editor or scripting.

Features:

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  • Easy switching between Mandelbrot and Julia sets
  • Julia explorer shows Julia set thumbnail corresponding to mouse position in preview
  • A selection of formulas, mostly generic with parameters
  • Fully multi-core for preview, explorer and rendering
  • Render large pictures with full anti-aliasing (when registered; max about 20kx15k pixels)
  • Batch rendering (when registered)
  • Numeric controls can be dragged like sliders
  • 12 steps of undo/redo
  • Easily share parameters in social media, with copy/paste to the clipboard
  • Memory spots for temporary storage of formulas, coloring or lighting
  • Save your favorite settings as presets (formulas, coloring, lighting, gradients)
  • Hundreds of system presets included
  • One-click switching between 15 default color schemes
  • Gradient editor that includes tools to capture linear or randomized gradients
  • Coloring based on potential, distance estimate, mean z, basins, orbit traps, textures, fibers, field lines
  • Adjust color and lighting controls with realtime preview
  • Powerful heightfield lighting effects
  • Materials that can include reflection, refraction, angular filtering and displacement mapping
  • Use panoramic or ordinary images as environment maps for reflection and refraction

The free version is limited to 640x480 anti-aliased rendering. Register to unlock the render size controls, enable batch rendering, allow exporting gradients in .ugr format, and support further development.

Note: if you are already using Jux 3.2 or earlier, it is recommended to uninstall it, then install Jux 3.3 to the same folder. Use the same location for personal data as before. Your own files should be kept separate from the Samples folder.

If you already registered Jux (any version), it is valid for v3.3 too: updating is free. If you lose your registration key, just email us.

Download Jux V3.3 setup (10MB) (Windows 7SP1 or later):

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Download Jux V3.3 portable (10MB) (Windows 2k/XP or later): Does not need installing, but read the included README.txt file before use.

Register Jux: US$ 24

More details about Jux

Mandelbrot

Formulas and navigation

Jux can draw both Julia and Mandelbrot fractals.

  • When drawing a Mandelbrot set, you can point the mouse at any part of it and see the corresponding Julia set in the thumbnail
  • For Julia sets you can explore variations by moving the mouse relative to the center of the preview
  • Shift-click or press J in the preview to switch to the new Julia
  • Alt-drag vertically or Ctrl-drag a rectangle in the preview to zoom; pan the preview by dragging it
  • Extended precision numbers allow zooming up to 10^16
  • Jux automatically finds critical points to correctly render convergent regions in Julia fractals
  • For Mandelbrot fractals you can choose which critical points to use
  • Choose from a list of built in formulas (there is no formula editor)
  • Jux has a good selection of polynomial, rational polynomial and Newton formulas, some Ducks and Kaliset variations, 10 with trig or exp functions, and six chaotic formulas
  • Most formulas have parameters to cover the range of possibilities. Some include Abs modes.

Here are some examples of different formulas and coloring (without lighting).

Coloring

There are many possible ways to color Mandelbrot/Julia fractals. Jux has built-in methods chosen for their simplicity, flexibility and aesthetics. You can use coloring alone, or modify it with heightfield lighting effects.

  • Fractals may be divided into regions, depending on whether the formula converges, diverges or neither when iterated. Each region has its own coloring controls.
  • Exterior (divergent) regions can use continuous potential, distance estimation, fibers
  • Interior (convergent) regions can use continuous potential, distance estimation, mean |z| or angle, plus field lines and basin variations
  • Coloring for the In Set region based on mean |z|, final |z| or angle
  • Up to six Orbit Trap regions defined by iterating an adjustable shape (34 to choose from)
  • Orbit Traps can use distance, X, Y or angle
  • Add textures with a rich variety of patterns, and turbulence to distort them
  • All coloring parameters (except Fibers and Orbit Trap shape) can update the preview in realtime
  • Coloring uses several gradients, with a powerful gradient editor and 1100+ presets included
  • Capturing gradients (linear or randomized) from the desktop is easy
  • Import gradients from UltraFractal .ugr or Fractint .map files

Lighting

Jux can add lighting effects to bring the fractals into 3D. The fractal is calculated as a height field in a 3D lighting environment.

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  • Height field contours based on potential, distance estimate or mean z
  • Separate height field adjustment for in set, exterior, interior and orbit trap regions
  • Add displacement from textures, fibers or field lines
  • Up to 10 directional light sources plus ambient and fill light
  • Environment mapping for reflection and refraction using panoramic or ordinary images, with adjustable field of view
  • Use your own images or one of 12 supplied panoramic images
  • Material properties independent of light sources and formulas
  • Use up to four different materials for regions or sub-regions
  • Materials can have a mix of diffuse, highlights, emission, reflection and refraction
  • Use gradients to filter the reflected and transmitted light by angle
  • Add displacement mapping with a variety of noise or patterns
  • All lighting parameters can update the preview in realtime (or near enough)

Here are some examples of lighting with various materials.

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