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Groups > comp.soft-sys.math.mathematica > #2973

Getting a chess with circles

From Jean-Louis Garcin <jeanlouisgarcin@free.fr>
Newsgroups comp.soft-sys.math.mathematica
Subject Getting a chess with circles
Date 2011-06-06 10:24 +0000
Organization Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID <isi9sl$m0c$1@smc.vnet.net> (permalink)

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 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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Getting a chess with circles Jean-Louis Garcin <jeanlouisgarcin@free.fr> - 2011-06-06 10:24 +0000

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