Re: random points!

*To*: mathgroup at smc.vnet.net*Subject*: [mg80935] Re: random points!*From*: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>*Date*: Thu, 6 Sep 2007 05:18:14 -0400 (EDT)*Organization*: Uni Leipzig*References*: <fblj4r$p97$1@smc.vnet.net>*Reply-to*: kuska at informatik.uni-leipzig.de

Hi, the simplest would be: randpoints = Table[Graphics[{PointSize[ 0.012], (x = {Random[Real, {-0.6, 0.6}], Random[Real, {0.0, -0.6}]}; If[Sqrt[x.x] < 0.6, Point[x], {}])}], {300}]; Show[surface, halfcir, randpoints, AspectRatio -> Automatic] but there are specific methods to generate random numbers in a circle. Regards Jens dimitris wrote: > Hello. > > I have the following drawing > (it is just a part of a bigger figure...) > > In[125]:= > surface = Graphics[{Thickness[0.0079], Line[{{-3.1, 0}, {3, 0}}]}]; > halfcir = Graphics[{Thickness[0.0079], Circle[{0, 0}, 0.6, {Pi, > 2*Pi}]}]; > randpoints = Table[Graphics[{PointSize[0.012], Point[{Random[Real, > {-0.42, 0.42}], Random[Real, {-0.01, -0.47}]}]}], {300}]; > Show[surface, halfcir, randpoints, AspectRatio -> Automatic]; > > How can I add as much points as possible inside the half-circle > (so that there are not so big white regions as in the previous > drawing) > assuring that they are not situated outside it? > > I think something has to be modified for randpoints above in order to > be included > a rule but currently I can't think sth. > > Thanks > Dimitris > >