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.