Freebasic Mandlebrot.

From wikipedia:
The Mandelbrot set is the set of complex numbers ‘c’ for which the sequence ( c , c² + c , (c²+c)² + c , ((c²+c)²+c)² + c , (((c²+c)²+c)²+c)² + c , …) does not approach infinity. The set is closely related to Julia sets (which include similarly complex shapes) and is named after the mathematician Benoit Mandelbrot, who studied and popularized it. Mandelbrot set images are made by sampling complex numbers and determining for each whether the result tends towards infinity when a particular mathematical operation is iterated on it. Treating the real and imaginary parts of each number as image coordinates, pixels are colored according to how rapidly the sequence diverges, if at all.
Simple mandlebrot prog compile in freebasic.

Screenshot from 2015-01-06 14:51:29



[code]
SCREEN 13
WINDOW (-2, 1.5)-(2, -1.5)
FOR x0 = -2 TO 2 STEP .01
FOR y0 = -1.5 TO 1.5 STEP .01
x = 0
y = 0
iteration = 0
maxIteration = 223
WHILE (x * x + y * y <= (2 * 2) AND iteration < maxIteration)
xtemp = x * x - y * y + x0
y = 2 * x * y + y0
x = xtemp
iteration = iteration + 1
WEND
IF iteration <> maxIteration THEN
c = iteration
ELSE
c = 0
END IF
PSET (x0, y0), c + 32
NEXT
NEXT
Input"press enter to quit",a
[/code]


qb64 result:
 

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