Unpredictable behavior of deterministic systems has been called chaos, a term introduced 1975. Strange attractors, first appeared in 1971 related to the nature of turbulence and the patterns that were produced. http://www.subtletechnologies.com/2003/krawczyk.html

http://mathworld.wolfram.com/FibonacciNumber.html
http://mathworld.wolfram.com/GoldenRatio.html

8 is the largest cube in the Fibonacci sequence
144 is the largest square in the Fibonacci sequence
199 is the 11th Lucas number
377 is the 14th Fibonacci number
521 is the 13th Lucas number
610 is the 15th Fibonacci number
all from http://www.stetson.edu/~efriedma/numbers.html