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Similar to a Pythagorean triple, 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.
Contents
Triangles with an angle of 60°
Triangles with an angle of 60° are a special case of the Law of Cosines:
When the lengths of the sides are integers, the values form a set known as an Eisenstein triple.
Examples of Eisenstein triples include:
Triangles with an angle of 120°
A similar special case of the Law of Cosines relates the sides of a triangle with an angle of 120 degrees:
Examples of such triangles include:
References
Eisenstein triple Wikipedia(Text) CC BY-SA