How to use the Mandelbrot Set Explorer

 
Computation Limit:  
The computation limit has a dropdown menu starting from 128, then 256, 512, 1,024, all the way up to 1,048,576 reiterations. The default at startup is 512. You may notice that each of these numbers is 2 to the power of something. For example: 128 = 27. If there are large areas of the display in the “Mandelbrot Set” or numbers that are very near to the numbers that are included in the Mandelbrot Set (deep areas), it will take longer to produce an image.
 
Adjusting the computation limit up will give you the ability to see into these deep areas and this ability to change the computation limit is available even in mid computation, this will speed up the process and give you the best possible experience.
 

 
Navigation:
Set to active at startup.  When used, it alows the user to draw a rubber-band box and then the program re-renders zoomed into the selected area.
Draws a rubber-band box and re-renders scaled out in proportion to the difference between the boxed area and the display area. (Smaller box = bigger zoom out.)
Gives you the ability to move the area displayed in any direction and re-renders to the same scale.
Re-renders the image to the starting scale and position without changes to the colour map or computation limit.
Goes back to the previous view without changes to the colour map or computation limit.
Resizing the window: Resizing the window will change the shape of the display area, so a calculation is done to enable the image to remain undistorted, and the image will be expanded on either the “x” or the “y” dimension to maintain the original image adding space on the expanded sides while keeping the same image centre.

 
The Show Grid / Hide Grid button will display and hide a grid that shows the values of the “x” and “y” axes (real and imaginary axes). This can be used in add of navigation.

 
Colours:
There are several colour maps to choose from via a drop-down menu. With each colour map there is a preview that will show you the spread and arrangement of the colours to be used.
Available Colour Maps:

 
Colour Compression/Expansion
The compression/expansion slider sets the period of the colour cycle. For the ease of level selection, the scale is set on a near linear to logarithmic scale dependent on the computation limit. Fully left means that the colours are compressed to the point where each iteration level will receive its own colour of the 8 predetermined colours of the chosen colour map, repeating for all iterations. Fully right means that the colours are expanded across all iteration levels out to the computation limit, smoothly transitioning between colours.
 
Compressed

 
Expanded

 
Colour Progression
The progression slider allows you to roll the colours through the iteration levels.
 
Progression = 0%

 
Progression = 50%

 
Colour of Numbers in the Set:
Numbers in the set are the numbers that stay small after all the iteration are completed up to the point of the Computation Limit. Each colour map has a colour assigned to the “Numbers in the Mandelbrot set”, however, you are also given the option to change that colour to anything you choose. Note that if you change the colour map, this colour will revert to the assigned colour for that colour map.
 
     
 
Use colour compression, expansion, progression, and an appropriate colour map, to optimise the appeal of the image.
 

 
Julia Set

 
While the “Generate Julia Set” function is active, a small live preview window will follow the pointer and compute the Julia set with parameter c for the coordinate of the cursor. Clicking will open a new tab for the Julia Set page using the seedy chosen coordinate as the seed point.

 
Image Export:
This page can export an image in either .jpeg or .png format. The image will be generated from scratch at the chosen scale (0.25× – 8×) at the full resolution for that image dimensions.
 
File Name:
The default file name for the exported image is “Mandelbrot_[x-centre]+[y-centre]i”, where [x-centre] is the x coordinate of the centre of the image and [y-centre] is the y coordinate of the centre of the image. If you change the file name, it stays changed. If you wish to change back to the default name just type in “Mandelbrot_” and it will use the default naming convention once more.

 
Coordinates:

 
The Coordinates box displays the x and y coordinates of the display area to 10 decimal places. This can be helpful in navigation.

 
 
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