       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.