Mandelbrot Set: Region #4 (the whole set)

Mad Teddy's web-pages


Mandelbrot set: Region #4

(My favourite bit of the Mandelbrot set)

Click on the picture to see a 640 x 480 pixel version.

You've probably noticed that this picture doesn't look like the corresponding one in my "Fractals #1: the Cantor and Mandelbrot sets" page. Don't worry - we'll get to that one shortly.

You can download and save a copy of the BASIC source-code for the 640 x 480 version by right-clicking here.

You can see the relevant area in Region #3 indicated by a small white box in the following picture:

The picture at the top of this page still has the same seven colours as in Region #3 (although differently deployed), with the addition of two new colours (brown and light blue). Now we add a tenth colour, and make some changes to the actual colours used by changing their codes within the program.

Mandelbrot set: Region #4, colour scheme A

("Winter in Mand-land", version 1)

Click on the picture to see a 640 x 480 pixel version.

With ten colours, it's possible to show more detail - and the mood has changed completely, even though the number of iterations for each point is exactly the same as before. Now, instead of a fiery scene, we have something that looks like a surreal snow-covered tree on a cold winter's day.

I love this scene. Although I've lived in Australia since I was eight, I still have an English constitution; so I prefer cool weather to hot any time. (Autumn is my favourite time of the year.) This lonesome, wintry scene struck a chord in me when I first programmed a version of it on my old Commodore 64; and the magic still works in this PC version. Who says "mathematical art" can't have soul?

Ever since coming to Australia as a kid in 1961, I've lived in Tasmania - except for one year (1983) which I spent teaching in Darwin. There was no way I could have lasted for more than a year there - it was so hot...


Mad Teddy at the Darwin show in 1983

You can download and save a copy of the BASIC source-code for the 640 x 480 version of "Winter in Mand-land", version 1, by right-clicking here.

Perhaps you'd like a bit less snow on those branches? Easy - just make a minor change to the program:

Mandelbrot set: Region #4, colour scheme B

("Winter in Mand-land", version 2)

Click on the picture to see a 640 x 480 pixel version.

This, finally, is the version that appears on my "Fractals #1: the Cantor and Mandelbrot sets" page.

You can download and save a copy of the BASIC source-code for the 640 x 480 version by right-clicking here.

Return to Fractals #1: the Cantor and Mandelbrot sets

My home page     Preliminaries (Copyright, Safety)