"Geometry has two great treasures: one is the theorem of Pythagoras, the other the division of a line into mean and extreme ratio. The first we may compare to a mass of gold, the second we may call a precious jewel. " — Johannes Kepler This is approximately 1 : 1.272 : 1.618. The squares of the edges of this triangle are in geometric progression according to the golden ratio. Triangles with these phi ratios are named after the German mathematician and astronomer Johannes Kepler (1571–1630),