How to generate a Mandelbrot Set picture
The Mandelbrot Set is represented graphically on the screen with x-
and y-axes. The set itself comprises Real and Imaginary
axes. The Real axis is the (horizontal) x-axis, the 'Imaginary' axis
is the (vertical) y-axis for the Mandelbrot Set.
There are two ways to generate a fractal picture of the Mandelbrot Set:
Easy Way:
Just display the whole set and zoom down from there. The interesting areas
are around the edge of the set.
Clever, ie Difficult Way:
- Click on the Coordinates of picture button on the Control Panel:
- I display the Coordinates of picture dialog. Click on Edit these
and enter 'Real' (c-axis) and 'Imaginary' (d-axis) coordinates:
- I only give the coordinates
of the upper left-hand corner of the area, and the length of the vertical
side of the picture I want. If you got the area from a book or magazine, they
may have given you two sets of coordinates. If you have two pairs of numbers:
- Take the lower Real
and higher Imaginary coordinates. That defines the top left hand corner.
- Enter the vertical ('Imaginary'
or y-axis) length of the area you want to display. If you got it from me you'll
already have the number. If you had it from a magazine, they'll probably have
given two pairs of numbers:
- Take the lower 'Imaginary'
from the higher 'Imaginary' number. That's the length.
- After that, you don't
need to worry, I recalculate coordinates whenever you move or zoom about on
the complex plane.
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