Re: Getting a chess with circles

*To*: mathgroup at smc.vnet.net*Subject*: [mg119494] Re: Getting a chess with circles*From*: Heike Gramberg <heike.gramberg at gmail.com>*Date*: Mon, 6 Jun 2011 07:28:37 -0400 (EDT)

Is this what you had in mind? chessboard[n_] := With[{C1 = {-n/2, 0}, C2 = {n/2, 0}}, RegionPlot[ Norm[{x, y} - C1] < n && Norm[{x, y} - C2] < n, {x, -n/2, n/2}, {y, -n, n}, MeshFunctions -> {Norm[{#1, #2} - C1] &, Norm[{#1, #2} - C2] &}, Mesh -> {Range[n], Range[n]}, MeshShading -> {{Purple, Yellow}, {Yellow, Purple}}, AspectRatio -> 2, Frame -> False, PlotPoints -> 20, BoundaryStyle -> Black ]] chessboard[10] Heike On 6 Jun 2011, at 11:24, Jean-Louis Garcin wrote: > > > > 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 > > > >