Integer triangle formula_112 and formula_113 generate the same triple. Unfortunately the two pairs can both be of gcd=3, so we can't avoid duplicates by simply skipping that case. Instead, duplicates can be avoided by formula_27 going only till formula_115. Note that we still need to divide by 3 if gcd=3. The only solution for formula_116 under the above constraints is formula_117 for formula_118. With this additional formula_119 constraint all triples can be generated uniquely. An Eisenstein triple is a set of integers which are the lengths of the sides of a triangle where one of the angles is 60 degrees. Integer triangles
Love triangle Love triangle A love triangle (also called a romantic love triangle or a romance triangle or an eternal triangle) is usually a romantic relationship involving three or more people. While it can refer to two people independently romantically linked with a third, it usually implies that each of the three people has some kind of relationship to the other two. The relationships can be friendships, romantic, or familial. The 1994 book "Beliefs, Reasoning, and Decision Making" states, "Although the romantic love triangle is formally identical to the friendship triad, as many have noted their actual implications are quite different...Romantic love