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Plotting Pythagorean Triples

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Pythagorean triples are sets of integer values for which the Pythagorean Theorem holds; that is, integer triples so that , where and are the legs of the triangle and the hypotenuse and the distance to the origin. See how the points are distributed in the plane.

Contributed by: Enrique Zeleny (March 2011)
Open content licensed under CC BY-NC-SA

Snapshots

Details

Snapshot 1: Only the points showing the distribution of triples are plotted.

Snapshot 2: A small set of triples is shown to distinguish some particular values (coordinates are shown as tooltips).

Snapshot 3: Only half of the triples are shown: they are symmetric with respect to the line.

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