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POCode golf: the Mandelbrot set
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copied!<p>Usual rules for the code golf. Here is an implementation in python as an example</p> <pre><code>from PIL import Image im = Image.new("RGB", (300,300)) for i in xrange(300): print "i = ",i for j in xrange(300): x0 = float( 4.0*float(i-150)/300.0 -1.0) y0 = float( 4.0*float(j-150)/300.0 +0.0) x=0.0 y=0.0 iteration = 0 max_iteration = 1000 while (x*x + y*y <= 4.0 and iteration < max_iteration): xtemp = x*x - y*y + x0 y = 2.0*x*y+y0 x = xtemp iteration += 1 if iteration == max_iteration: value = 255 else: value = iteration*10 % 255 print value im.putpixel( (i,j), (value, value, value)) im.save("image.png", "PNG") </code></pre> <p>The result should look like this</p> <p><img src="https://imgur.com/6Oqvi.png" alt="Mandelbrot set"></p> <p>Use of an image library is allowed. Alternatively, you can use ASCII art. This code does the same</p> <pre><code>for i in xrange(40): line = [] for j in xrange(80): x0 = float( 4.0*float(i-20)/40.0 -1.0) y0 = float( 4.0*float(j-40)/80.0 +0.0) x=0.0 y=0.0 iteration = 0 max_iteration = 1000 while (x*x + y*y <= 4.0 and iteration < max_iteration): xtemp = x*x - y*y + x0 y = 2.0*x*y+y0 x = xtemp iteration += 1 if iteration == max_iteration: line.append(" ") else: line.append("*") print "".join(line) </code></pre> <p>The result</p> <pre><code>******************************************************************************** ******************************************************************************** ******************************************************************************** ******************************************************************************** ******************************************************************************** ******************************************************************************** ******************************************************************************** ******************************************************************************** ******************************************************************************** ******************************************************************************** **************************************** *************************************** **************************************** *************************************** **************************************** *************************************** **************************************** *************************************** **************************************** *************************************** **************************************** *************************************** **************************************** *************************************** *************************************** ************************************** ************************************* ************************************ ************************************ *********************************** *********************************** ********************************** ************************************ *********************************** ************************************* ************************************ *********************************** ********************************** ******************************** ******************************* **************************** *************************** ***************************** **************************** **************************** *************************** ************************ * * *********************** *********************** * * ********************** ******************** ******* ******* ******************* **************************** *************************** ****************************** ***************************** ***************************** * * * **************************** ******************************************************************************** ******************************************************************************** ******************************************************************************** ******************************************************************************** ******************************************************************************** ******************************************************************************** </code></pre> <p><strong>Edit</strong>:</p> <p>Rules for the ASCII art:</p> <ul> <li>size in rows/columns is parametrized and the code must work with any valid value.</li> <li>at least three level of differentiation in density depending on the iteration count (so my prototype up there is not compliant)</li> <li>oriented horizontally (so my prototype up there is not compliant)</li> <li>critical parameters are fixed (max iteration = 1000, runaway value x<em>x + y</em>y <= 4.0)</li> </ul> <p>Rules for the graphic:</p> <ul> <li>size in rows/columns is parametrized and the code must work with any valid value.</li> <li>at least three level of colors, gray scale</li> <li>oriented horizontally (my prototype is compliant)</li> </ul>

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