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Re: Plotting a curve on a flat torus

  • To: mathgroup at smc.vnet.net
  • Subject: [mg106471] Re: Plotting a curve on a flat torus
  • From: dh <dh at metrohm.com>
  • Date: Thu, 14 Jan 2010 05:45:52 -0500 (EST)
  • References: <hik91b$6nn$1@smc.vnet.net>


Hi,

you want to draw a curve on a rectangle, identifying opposite sides?

Well you can do this e.g. using Mod and ParametricPlot. Here is an 

example where we use the unit square {{0,0},{0,1},{1,1},{1,0}} and the 

square function:

ParametricPlot[{Mod[t, 1], Mod[t^2, 1]}, {t, 0, 4}]

Daniel



LordBeotian wrote:

> I want to plot a curve on a flat torus (i.e. the square with

> identified opposite edges) so i would like mathematica to join the

> points of the curve in a way that respect the torus topology. Is there

> a not too difficult way to do this with Mathematica? Or at least is

> there an easy way to have the points joined only when their distance

> on the square is small enought?

> 




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