How to use Fractal Generator
Click anywhere in the image to zoom in at the current cursor position by the
zoom
increment amount. |
Click, drag and release to zoom into drawn area. |
Ctrl + Click to zoom out at current cursor position by zoom increment amount.
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Shift + Click to centre at current cursor position. |
Alt(Option) + Click to toggle between Mandelbrot and Julia modes at current
cursor position (useful points of interest can be found just outside the perimeter of the Mandelbrot set).
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Reset to default settings. |
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Zoom in. |
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Zoom out. |
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Turn zoom animation on/off. |
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Cycle modes (Mandelbrot, Julia). |
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Cycle variants (Standard, Burning Ship, Tricorn). |
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Cycle exponent (integer 2-6). |
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Cycle colot theme. |
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Shift color theme up. |
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Shift color theme down. |
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Rotate Julia set clockwise. |
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Julia set anti-clockwise. |
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Turn Julia spin animation on/off. |
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Save current image. |
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Open/close settings panel. |
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Open/close help panel. |
Creating Custom Color Gradients
- Choose a palette depth of 4, 8, 12 or 16 colors.
- Choose a gradient depth of 16, 32, 64, 128, 256 or 512 levels.
- Choose the color interpolation method ('None' or 'Linear').
- Create the palette by picking colors using the color picker widget and applying the selection to each
palette slot in turn.
- Click 'PAINT'. A color gradient will be created dynamically and applied to the displayed fractal.
- The custom color gradient will also be added to the list of available color rendering themes in the format
'User_x_nnn', where 'x' is an auto-incremented number and 'nnn' is the number of levels.
Navigating Mandelbrot and Julia Sets
The Mandelbrot set can be considered a map to an infinite number of Julia sets. Pressing
Alt(Option) + Click or
at various points around the
Mandelbrot set (or its variants) produces a variety of
Julia sets. The most interesting images can be found just outside the perimeter of the Mandelbrot set.
Mandelbrot variants like the so-called 'Burning Ship' can map to extraordinarily beautiful Julia sets.
Julia sets can be 'rotated' about their origin by applying a polar rotation transformation to the
complex coordinate c in the equation z = zⁿ + c. By successively incrementing the rotation angle by pressing
the
button, a 'spinning Julia' animation can be
produced.
The frame rate or speed of rotation is governed by the 'Spin Inc' setting; smaller values produce slower and
more intricate rotations.