>"The number φ, generally known as the Golden Ratio [Phi], is simply the smallest of the Golden Numbers. The number π [Pi], the ratio of the circumference to

>"The number φ, generally known as the Golden Ratio [Phi], is simply the smallest of the Golden Numbers. The number π [Pi], the ratio of the circumference to the diameter of a circle, is related to the largest of the Golden Numbers. The two numbers are connected to one another geometrically by means of the sequence of regular polygons with an odd number 2n + 1 of sides , where n ranges from 2 to ∞. The number φ [Phi] is defined in the case n = 2 of the regular pentagon, which has five 2n + 1 = 5 sides. It is the ratio of the length of a diagonal to the length of a side or, thus, 2n + 1 times the diagonal divided by the periphery. The number π [Pi] is defined at the other end of the sequence , as the number of sides of a polygon increases without limit and the polygon approximates a circle. It is the limit of the ratio of the periphery (approximating the circumference) to the longest diagonal (approximating the diameter) or, thus, the limit of 2n + 1 times the side divided by the longest diagonal." [...]