QuasiJ & QuasiM generate Julia & Mandelbrot set type images for the iteration of the map:
z -> {Abs Re(z²) + i.Im(z²)} - c, where c is a complex parameter & z is a complex variable
i denotes sqr(-1), Re(z) means the real part of z & Im(z) means the imaginary part of z
compare with the familiar Julia sets & Mandelbrot set, resulting from the iteration of:
z -> {Re(z²) + i.Im(z²)} - c, [that is, z -> z²-c]
QuasiM can be used to explore the Mandelbrot set for this function & to select parameters which will produce interesting images via QuasiJ.
Support for a reasonable degree of zooming into images is permitted, though this is limited by the fixed precision arithmetic used to maintain good speed of image generation.
Images can be generated in any usable 16 colour screen mode & may be saved into the current directory afterwards.
To use QuasiM, double click on the Basic file & enter values in response to the prompts given.
After image generation press Escape to rerun program or Shift/Escape to quit it.
Pressing 'S' will save the image into current directory; press 'A' to go again with the same window (this will allow you to regenerate the same image in a different mode & remind yourself of the coordinates of the viewing window being used); 'I' will allow you to manually input the new window coordinates.
Any other key will start a zoom into the image, controlled with the mouse:
Select reduces the size of the target window; adjust increases it; while menu starts image generation for the target window selected.
During selection of a target window, the coordinates of its centre are displayed. For interesting points, these can be noted down & used as parameters for QuasiJ. Points near the boundary of black regions usually yield particularly complex images.
QuasiJ works in pretty much the same way as QuasiM, except that you must also enter a parameter (m,n) to select a particular Julia set.
