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Jun 19, 2012 at 12:12 comment added David Then you need to rotate your generated sphere to fit on the plane $x_1+x_2+...+x_n=0$, and how would you do that ?
Jun 19, 2012 at 11:32 comment added Goose Why? The hyperplane is parallel to $x_1+x_2+...+x_n = 0 $. So if your sphere is on that plane, a translation will put it on the plane that you want, no?
Jun 19, 2012 at 10:01 comment added David it seems difficult to write an algorithm that computes an orthogonal basis of the simplex (and change basis) for any dimension.
Jun 19, 2012 at 9:06 history answered Goose CC BY-SA 3.0