Fractals

From GenerativeArt

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:<var>N! = N * (N - 1) * (N - 2) * ... * 1</var>
:<var>N! = N * (N - 1) * (N - 2) * ... * 1</var>
-
====='''Non-recursive factorial function'''=====
+
=====Non-recursive factorial function=====
   '''function''' FACTORIAL(m)
   '''function''' FACTORIAL(m)
       total = 1
       total = 1
       '''return''' total
       '''return''' total
-
====='''Recursive factorial function'''=====
+
=====Recursive factorial function=====
   '''function''' FACTORIAL(m)
   '''function''' FACTORIAL(m)
       '''if''' m > 1
       '''if''' m > 1
           '''return''' 1
           '''return''' 1
       '''end'''
       '''end'''
 +
 +
=====Recursive Koch Curve=====
 +
koch curve image here
 +
  //  Given:
 +
  //  DRAW(x1, y1, x2, y2)    :draws a point from (x1, y1) to (x2, y2)
 +
  //  res                      :length of smallest line to be drawn
 +
  //  DIST(x1, y1, x2, y2)    :distance between points (x1, y1) and (x2, y2)
 +
  <br>
 +
  '''function''' KOCH(x1, y1, x2, y2, res)
 +
      '''if''' DIST(x1, y1, x2, y2) < res
 +
          DRAW(x1, y1, x2, y2)
 +
      '''else'''
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          // calculate new set of line segments tx1, ty1, tx2, ty2, ..., tx5, ty5
 +
          KOCH(tx1, ty1, tx2, ty2, res)
 +
          KOCH(tx2, ty2, tx3, ty3, res)
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          KOCH(tx3, ty3, tx4, ty4, res)
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          KOCH(tx4, ty4, tx5, ty5, res)
 +
      '''endif'''
 +
  image of koch line calculation here

Revision as of 19:28, 10 November 2008

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