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These graphs connect integers that form Pythagorean triples. With "triples" selected, two integers are connected if they form any two sides of a right triangle; thus, all Pythagorean triples appear as triangles in the graph. With "legs", two integers are connected if they constitute the two legs of a Pythagorean triple, and the edge between them is labeled with the corresponding hypotenuse. The graphs can show all triples or only primitive ones.[more]
Pythagorean triples are sets of three integers that satisfy the Pythagorean equation , and thus form the side lengths of right triangles. In a primitive Pythagorean triple, the three integers have no factors in common.[less]
Contributed by: Aaron Dunigan AtLee (March 2011)
Open content licensed under CC BY-NC-SA
Wolfram Demonstrations Project
Published: March 7 2011