TIPS and HINTS for using the Mandelbrot set Dictionary: ------------------------------------------------------ It is not necessary to wait for the image to be completed before you start your next magnification. It is advised that as soon as you see something in the image you'd like to magnify, that you save the current image, and then Magnify the place you'd like to magnify, along with increasing the number of iterations by about 100 for every 10 X magnification increase. If you have color, and monochrome screens and wish to produce a highly magnified image for printing, the following procedure is recommended: 1.) Get a general idea of what you want to produce by using the low resolution screen, and the "Accelerate" function to check various places in the image for interesting things. 2.) Once you sort of know what the color image looks like, use "Plotting info" to determine its X,Y and Vertical window size. The X,Y are written in the form X + Yi, so you'll see it in the middle of the second Information screen. It'll usually be the longest number on the screen so you shouldn't miss it. If the number for instance says 0.1234 + -0.5678i then X = 0.1234 and Y=-0.5678. The numbers are accurate to 11 decimal places. 3.) Boot up with the monochrome screen, choose the "Custom image" option and type in the X,Y and Vertical size parameters you found from the color image. If you know you're going to like the black and white image, you might even consider making a BigScreen black and white image. 4.) Wait for about an hour to see what kind of image is being produced; if you're getting a lot of black stuff, then lower the Threshold, or increase the Overflow. If you're not seeing anything Raise the Threshold, or lower the Overflow. Don't lower the overflow too much though or else you're going to get black no matter what you do. Follow the guidelines in MD.DOC for adjusting these things. * Note: I haven't tried this yet, but I believe that if you RAISE the Threshold and LOWER the Overflow at a nice distance from the Mandelbrot set you might get branching (like trees), I haven't tried this yet, but try it an see if you like it. (Try say a Threshold of 5 and overflow of 10000, I don't really know, if you find out tell me!) What magnification means: ------------------------- Magnification as seen in the "Plotting info" option, mean how many times the image is magnified if the Mandelbrot set were plotted on the screen using the screen as a grid where each pixel represents one integer. To fill the screen with an image of the Mandelbrot set therefore requires a Magnification of around 100 X on a low resolution screen and 200 X on a high resolution screen. The 300,000,000 X image in MANDLBRC.ARC is actually as you will notice, 30,000,000,000 X in the Plotting info screen. Since it is a color picture, I chopped off to zeros to get a magnification number with a screen filled Mandelbrot set representing 1 X. You must also remember that this means magnification in each direction, so the area has actually increased 900,000,000,000,000,000,000 times! (nine hundred quintillion times!) If figure that if you saw a picture of the earth on your screen, at approximately 12,000 km. if we magnified it 300,000,000 times, we'd do the following calculation: 12,000 km = 12,000,000 m = 12,000,000,000 mm, then take 12,000,000,000 and divide it by 300,000,000 to get 40 mm = 4 cm.!!!! That means the image across your screen could now be the calculator on your desk and you'd be reading HUGE DIGITS!!!!! You could SEE THE LIQUID CRYSTALS!! It would be like seeing your calculator ENLARGED on earth from the moon!! The time factor: ---------------- As the magnification increases to 100,000,000 X and up be prepared for an image to take at least over night to process. Distance estimate plots take at least twice as long. The image DE1_5.PI3 from the MANDLBRM.ARC file, took 2 weeks (on and off during overnight runs) to process, and it isn't even entirely complete. Of course DE1_5.PI3 is no ordinary image either, it's taken me a whole YEAR just to find out where it was! That'll tell you something about the complexity of the Mandelbrot set! ===================== But most importantly: ===================== HAVE FUN! =) Smile!