Why did you not look at x^2 +y^2 = z^2 for z = to discrete values starting at 1, then this is the formula for what geometric shape other than a triangle? Unit circle is on what axis?
Can this be the formula for any other conic shapes? On what axes?
Should the domain be divided into various groups to get discrete, continuous, less than zero, greater than zero, equal to zero for each of the x, y, and z axies?
Can we assume things based on our audiences level of mathematics?
Looking back to this being Pythagorean then should it be grouped as above?
Could this lead into Trigonometry?
Can the solver be correct if they only solve part of the possibilities, the ones which they specified?
Similarly if one solves more than what they think was asked is this a bonus?
We are mathematicians not lawyers, can we still have fun?
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