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MathGroup Archive 2011

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Getting a chess with circles

  • To: mathgroup at smc.vnet.net
  • Subject: [mg119489] Getting a chess with circles
  • From: Jean-Louis Garcin <jeanlouisgarcin at free.fr>
  • Date: Mon, 6 Jun 2011 06:24:19 -0400 (EDT)



 Hello,

 In the features demonstrations  there is an example about  n-Player Chessboards.

With this model we can get a chess for example:
ParametricPlot[
 Table[{Re[E^(I Arg[(u + I v)^2]) Abs[(u + I v)] E^(I (j - 1) 2 Pi)],
   Im[E^(I Arg[(u + I v)^2]) Abs[(u + I v)] E^(I (j - 1) 2 Pi)]}, {j, 1,
   1}], {u, -1, 1}, {v, -1, 1}, MeshStyle -> {None, None}, Mesh -> {10, 4},
 MeshShading -> {{Yellow, Orange}, {Orange, Yellow}}, PlotRange -> 1.5,
 Axes -> False, Frame -> False, ImageSize -> {400, 400}]


 But I would want  to get a chess with  two lists of circles: the first list is made with circles which have the same center A , and  the second list is made with the same center B, A and B are different.

For instance AB=10 the radius of the circles are 1, then 2, 3,  and son on.

So the intersections point of circles are on ellipses or hyperbols.


 I have no idea.

 Thank You for your help.

Jean-Louis Garcin





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