mapping world and screen by R.Tschaggelar

Mapping from screen ( integer) coordinates to world ( real) coordinates

- linear

In the status bar panels you can see the coordinates of mouse position in world and screen values.

That is linear mapping : iX:=Ax*eX+Bx

eX:=(iX-Bx)*StepX where StepX:=1/Ax

iX = screen coordinate ( integer type X )

eX = world coordinate ( extended type X)

You can see that in Delphi origin ( 0,0) is in the left upper corner of the image.

If you want you should change it.

Programs using this symmetry for drawing Mandelbrot set in special case:

Programs using this symmetry for drawing Mandelbrot set in general case:

- uses the symmetry or not.
- computes symmetric and non symmetric regions, and symmetry axis
- is using integer not real numbers ( its better to use integer numbers)

- black line= axis of symmetry
- blue = part made without symmetric procedure
- yellow = non-symmetric part made with symmetric procedure
- red and green = symmetric parts made with symmetric procedure

- axis of symmetry is out of range of drawing area (iYaxisOfSymmetry < iYmin )

Ornaments - program by Martin von Gagern

Feel free to e-mail me!

Author: Adam Majewski adammaj1-at-o2-dot-pl

Abouthttp://republika.pl/fraktal/