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Integer coordinate set of points that is a member of sphere surface

Assume $C$ is a sphere with radius $r$ and center in the origin (0,0,0). How can we find the set of all points with integer coordinates that lie on the surface of $C$?

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    Related: http://en.wikipedia.org/wiki/Gauss_circle_problem2012-09-02
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    @BillCook That gives points inside a circle, I require points on a surface.2012-09-02
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    Related: http://math.stackexchange.com/questions/76892/pythagorean-quadruples2012-09-02
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    Is the radius an integer, or the square root of an integer?2012-09-02
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    @Lubin: if it's not the square root of an integer, the answer is easy.2012-09-02
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    @Lubin Not necessarily, but it depends on what values of $r$ can generate solutions.2012-09-02
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    @GerryMyerson Yet that question has no answer either.2012-09-03
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    Well, it does, just not an efficient answer. There is also a suggestion that this is a Project Euler problem, and we don't do those here.2012-09-03
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    @GerryMyerson No this subject was discussed in my number theory class. I would also kindly request you stop accusing me of posting PE problems on every question I post.2012-09-03
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    "I would also kindly request you stop accusing me of posting PE problems on every question I post." Khaled, you have posted 12 questions. On 10 of them I have made no mention whatever of Project Euler. Please refrain from telling lies about my activity here.2012-09-03

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