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MathGroup Archive 2003

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2D plane surface

  • To: mathgroup at smc.vnet.net
  • Subject: [mg44165] 2D plane surface
  • From: Young Kim <kim17 at fas.harvard.edu>
  • Date: Sat, 25 Oct 2003 06:26:15 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

  Let's say I have two variables a and b.
  a and b represent the number of two different objects (such as number 
of rabbit and sheep).
  I would like to generate a 2D plane surface (like the attached 
example) [Contact the author to get the attachment - moderator]
 that satisfies the following conditions.

1. 2D plane surface is divided into small pixels.
2. Each pixel has either red or green.
3. The choice of pixel color is random but the ratio of red to green 
pixels is proportional to a/b

  And is it also possible to generate the time course of such 
representations from a[t], b[t]
  where a[t], b[t] are the solutions of the following differential 
equation

NDSolve[
  {a'[t] == a[t] ((1 - a[t]) -  b[t](0.1 c[t] + d[t])),
     b'[t]  == b[t]((1 - b [t]) - a[t] (c[t] + 0.1d[t])),
      c'[t] == c[t] ((1 - c[t]) -  d[t] (0.1 a[t] + b[t])),
      d'[t] ==  d[t] ((1 - d[t]) - c[t] (a[t] + 0.1 b[t])}
       // omitted the remaining parts of the equation.

  Thanks in advance for any input.

    Young


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