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Fractal Trek 3 App FRACTAL TREK 3 Fractal Trek 3 Go To App Store


FractalTrek is an app that lets you explore 13 curated fractal types:

  • Mandelbrot
  • Inverse Mandelbrot
  • Burning Ship
  • Bird Of Prey
  • Cubic Mandelbrot
  • Quadric Mandelbrot
  • Quintic Mandelbrot
  • Perpendicular Mandelbrot
  • Tricorn
  • Cubic Tricorn
  • Druid
  • Mandy Tree
  • Rudy Cubic Cosine

It uses a futuristic TNG GUI and lets you create amazingly beautiful, shallow-depth, quasi-3D fractals using the SAM (Stripe Average Method) gradient coloring. You can also use 'Smooth CPM' and 'Basic' coloring, enhanced with 'Density Controls' and 'Palette Roll' to color the fractals. FractalTrek includes an awesome, innovative and extremely powerful Gradient Designer so that you can create your own custom gradients with an unlimited number of colors, which are used in all coloring methods.

Custom gradients can be stored in the Gradient Library for quick access, and fractals can be stored in the Fractal Library, complete with preview images so that you can conveniently find them visually later on. Batches of fractal presets in the Fractal Library can be stored to disk via the standard Save Panel.

Workflow is extremely optimized in this app. Smart autorendering allows you to quickly make successive parameter changes to your fractal without having to wait for each change to render. In other words, if you have autorendering enabled, then every time you make a change to the fractal it will automatically abort the previous rendering and start rendering a new fractal with the new value.

You can export fractal images up to 4096x4096 pixels in size, and they are always rendered using 9x (3x3) supersampled antialiasing for stunning images.

FractalTrek is multi-threaded, so you can export multiple fractals simultaneously, and still continue to explore new preview fractals at the same time.

Burning Ship and Bird Of Prey:

The Burning Ship and Bird Of Prey fractals are less famous than the Mandelbrot fractal, but are equally fractacular. What the Mandelbrot fractal does with spiral and curlicue patterns, the Burning Ship family of fractals does with lines, arcs, boxes, triangles, hearts, and other geometric shapes. Fantastic ship masts and sails, butterflies, insectoids, crescent moons, and a plethora of variations lurk in the depths, awaiting your discovery.

Perpendicular Mandelbrot:

The Perpendicular Mandelbrot fractal renders a 2D planar slice of the second order 3D Mandelbulb that is directly perpendicular to the Mandelbrot fractal.

Perpendicular Mandelbrot Fractal


The Druid fractal formula uses the standard Mandelbrot formula for even numbered iterations and the Celtic formula for odd iterations. There are a plethora of heart-shaped fractals to be found, such as the one used in the JuliaTrek icon and the following image, which is 2560 x 1440, and can be downloaded and used as a Desktop image or part of a screensaver collection.

Druid Fractal wallpaper


Fractal Formulas:

Mandelbrot: z^2 + c
Inverse Mandelbrot: 1 / (z^2 + c)
Burning Ship: z^2 + c           where:
Zi = 2 * |Zr * Zi| + Ci
Zr = Zr * Zr - Zi * Zi + Cr
Bird of Prey: z^3 + c           where:
Zi = ((Zr^2 * 3) - Zi^2) * |Zi| + Ci
Zr = (Zr^2 - (Zi^2 * 3)) * |Zr| + Cr
Cubic Mandelbrot: z^3 + c
Quadric Mandelbrot: z^4 + c
Quintic Mandelbrot: z^5 + c
Perpendicular Mandelbrot: z^2 + c           where:
Zi = -2 * Zr * |Zi| + Ci
Zr = Zr * Zr - Zi * Zi + Cr
Tricorn: (conjugate(z))^2 + c
Cubic Tricorn: (conjugate(z))^3 + c
Druid: Even Iterations: Mandelbrot
Odd Iterations: Celtic
Mandy Tree: Even Iterations: Mandelbrot
Odd Iterations: Burning Ship
Rudy Cubic Cosine: ccosl(z^3) + c


  • 13 Different Fractal Types
  • SAM (Stripe Average Method) Fractal Coloring
  • Smooth CPM (Continuous Potential Method) Fractal Coloring
  • Iteration/IterationMax Fractal Coloring
  • Gradient Density Controls
  • Gradient Palette Roll Controls
  • Multi-threaded
  • Multiple Simultaneous Fractal Image Export
  • Simultaneous Export and Fractal Preview Rendering
  • Awesome Gradient Designer
  • Unlimited Gradient Colors
  • Supersmooth gradient color interpolation
  • 3x3 Supersampled Antialiasing
  • Fractal Library
  • Gradient Library
  • Fractal Preset Batch Saves
  • *
  • Comprehensive User Guide (built-in)
  • 35 LCARS Color Themes
  • Authentic Sound FX
  • Mute All Sound FX
  • Digital Clock
  • 12 Hour or 24 Hour Time
  • Stardates (2 types)
  • Cool Animations

Be sure and read the comprehensive user guide that is included with the app.

Have fun exploring FractalSpace.

Live Long and Prosper. \\//

Fractal Trek 3 Go To App Store
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