I found quasiperiodic patterns in distributions of remainders of
irrational (especially transcendental) numbers like pi, e etc..
I define remainders of A as the non-integer part of N*A for
N=1,2,3....:
N'th remainder of A = N*A mod 1
patterns in pi = 3.141592653589....
patterns in e = 2.718281828459...
patterns in Feigenbaum constant = 4.669201609102...
patterns in square root of 2 =
1.414213562373095...
patterns in 3/7 = 0.428571428571...
I found that these patterns can be explained by continued fractions. Y.
Han 2004