........MANDEL brot controls.....

The Mandelbrot set is a set of points that satisfy a certain condition 
where each point is iteratively generated from its previous position 
within a plot, roughly where (x,iy)= -2>x>+2 and -2>iy>+2 units. 
New Z = Z squared plus C.   Z and C are complex numbers. Z= x+iy and 
begins as (0,i0). C = (x+iy) and is a constant. The absissa and ordinate 
of C is selected and the iterations begin. If the new Z remains within 
bounds for a reasonable number of iterations then that point is 
considered to be within the Mandelbrot set. If the new Z flys off 
into never/ never land, then it is not. 

The program selects a given absissa and ordinate and plots each value 
of new Z on the image area. The color of the point indicates the number 
of iterations achieved for that given starting point. 

The program is started with the START button. This draws the Mandelbrot 
set into a target image. Wait until the image is complete, it will be 
announced in the banner area of the form.

A starting point can be selected in two ways: The (x,iy) can be typed 
into the edit boxes or by mousing over the target image and clicking. 
When the co-ordinates are selected, click the DRAW button. The 
resulting points generated will be plotted into the picture area. The 
plotting can be halted with the STOP button. The ERASE button clears 
this area. The picture can be saved to disk. Finally the EXIT button 
terminates the session.

The default co-ordinates (-360,i -.6) is a reasonably good selection. 
Good results for now points of interest can be chosed by changing 
either of these values slightly and clicking DRAW. The best points 
are just within the dark area of the image in the target area. 

The BROT program does this exercise for each of the 400x400 pixel 
points in turn to generate a display of the set of valid points. 
This exercise only shows the iterations of the regenerative process 
for any of these points in the set.

Thanks to Mr. Yu and the RapidQ group for me being able to enjoy 
using a fine set of programming tools. My contributions may provide 
some enjoyment for some of you.
--.-