Settings
The settings page will describe all settings and parameters in ABS-Fractal-Explorer in detail. (Based on in development versions, so please expect some changes)
Mandelbrot Fractals with sign changes or ABS functions applied to them to generate hundreds of variants.
Polar Mandelbrot Sets can take on fractional powers, so one can see the Mandelbrot set morph into the Cubic Mandelbrot set, and so on in a smooth transition.
"Polar Mandelbrot" is not a real term, but refers to how the Mandelbrot set is calculated. . It only includes the 12 Classical Mandelbrot variants because the ABS Mandelbrot variants contain sign changes and ABS functions in locations that make it impossible to calculate using Polar Coordinates. For example, the Tricorn/Mandelbar fractal is defined as the Conjugate of Z^2 + C, as compared to its definition temp = zr * zr - zi * zi + cr; zi = zr * zi * -2; zr = temp; as an ABS Mandelbrot fractal.
Take a square, cut it into 9 pieces, then remove the middle piece. Keep doing the same process on the 8 remaining squares. Wikipedia could probably explain things a little bit better. Awhile ago I modified my Java Mandelbrot Engine so it could render the Sierpinski Carpet.
Wallis Sieve: Removes 1/3rd, then 1/5th, then 1/7th... instead of always removing 1/3rd of the Square.
The "Fixate on top-left corner" toggle will zoom into the North West corner similar to this video.
Lock position to Cardioid: Locks your position to the valley of the Cardioid (Also known as the maximum distance that will remain bounded)
Adjust zoom value to power: Changes the displayed zoom value to be relative to the maximum distance that will remain bounded instead of a Zoom of 0.0 being a radius of 1.0 (Zoom of 0.0 will become a radius of 2.0 for the Quadratic fractals, sqrt(2) or ~1.4142 for the Cubics, cbrt(2) or ~1.2599 for the Quartics, and so forth).
Getting the maximum bounded distance was fairly simple. Getting the minimum bounded distance involved a lot of random guesses until I got the formula figured out. I knew that the minimum bounded distance for the Quadratic fractals was exactly 0.25 or exactly 1/4, so I had to find what algebraic number ~0.3849 simplified to for the Cubic fractals. Getting the general formula for the minimum bounded distance was easy once I figured out the Cubic analytical value.
Red is the maximum bounded distance. Blue is the minimum bounded distance. Both values approach 1.0 as the power of the fractal approaches infinity.
Breakout Value: High value will give smoother coloring. If the Breakout Value is less than the maximum bounded distance than some parts of the fractal will be clipped.
Exports a FracExp file
Imports a FracExp file
Saves the current frame as a png image.
Change rendering methods and quality
Change maximum frame-rate, and which monitor the application will open up to.
The maximum frame-rate can be based off the current monitor, the monitor with the highest/lowest refresh rate, or be set to a constant value. A slider is present to multiply/divide the frame-rate by an integer amount.
The application can be set to open to the first/last monitor, a specific monitor, the monitor on the left/right/top/bottom, the monitor on the corners, or the monitor with the highest/lowest resolution/frame-rate.
View, change, import and export key-binds and FracExpKB files.
Quits current rendering job.
See Also: