It is also the limiting value of the ratio of two consecutive terms in the Fibonacci sequence.
In Penrose tilings, it is the ratio of "fat" rhombuses to "skinny" rhombuses, and is also the relationship between the pentagon's diagonal to its end. It is also the limiting value of the ratio of two consecutive terms in the Fibonacci sequence. _FOR 10 POINTS_— name this number, equal to one half of one plus the square root of five, noted for its appearance in the natural world and ancient art.
In Penrose tilings, it is the ratio of "fat" rhombuses to "skinny" rhombuses, and is also the relationship between the pentagon's diagonal to its end.
{golden ratio} or {golden mean} (prompt on phi or 1.6158....)