While this app should work fine on most phones and tablets, it is recommended to use a desktop or laptop computer to get the full experience.

Zoom

Move your scroll wheel, pinch your touchscreen, or press the + button on the picture to zoom in and reveal more detail.

Move

Use your mouse or finger to drag the picture around like a map.

Explore

The Coordinates section shows the Real/Imaginary coordinates at the centre of the picture, as well as the number of iterations needed for that point to diverge. If that point never diverges, it will show "n/a". The Axes checkbox will toggle the Real/Imaginary zero axes. This also toggles axes on the Julia set if it is selected (see below). To see the coordinates at a different point, move your mouse pointer around the picture area.

The Max Iterations slider lets you set the limit on how many times each point is iterated to determine whether or not it diverges. This effectively lets you control the level of detail. Higher values may slow down the drawing process.

To see the Julia set for any point in the Mandelbrot fractal, select the Corresponding Julia set checkbox. This will show the Julia set for the coordinates in the center of the Mandelbrot picture. To see the Julia set for a different point, move your mouse pointer around the picture area. This will have a greater effect on the Julia picture at wider zoom levels (zoomed out). To see more or less detail in the Julia set, move the Max iterations slider inside the Julia section.

For more about the Julia set, explore the Mandelbrot Set tab above.

Beautify

A palette of 255 colours, plus black, is used to draw the Mandelbrot fractal. You can use the Change button to change to one of 14 different colour palettes. The palette "Classic VGA" is the default colour palette used in the IBM PC, and featured in many DOS programs in the 1990's.

The Cycle button toggles Colour Cycling - rotating all 255 colours within the current palette (black excluded), giving a crude form of animation. This effect was used in many DOS programs in the 1990's.

To lessen the abrupt changes (banding) between each colour, select the Smooth checkbox. This uses a different algorithm to determine the colours which, while less mathematically accurate, gives smoother shading and a more aesthetically pleasing image.

Save

Use the Poster button to produce a high quality (4000x3000) image of your fractal at its current position. This can take quite some time to calculate - a few seconds to several minutes, depending on the complexity of the area and the speed of your computer. While it is computing, four white bars will move down the sides of the picture, giving a visual indication of the progress of each CPU thread. Once it is done a popup message will appear inviting you to open or save your picture.

The Permalink button gives a link to your current position within the fractal so you can come back to it later or share it with friends. You can copy the text that appears in the dialog box to your clipboard, or just click the generated link to load it back into your browser, after which you can use your browser to Bookmark it. The generated link includes the current position, zoom level, iteration limit, and colour.

For more about the mathematics behind this app, explore the Mandelbrot Set tab above.


©2019 Greg Trounson <greg at gart dot nz>   Version 0.7