Exponential sums
Exponential sums
David Angell (school of mathematics and statistics UNSW)
says "this is mathematics for fun. Nothing wrong with that".
John D. Cook: Exponential sums make pretty pictures
Andrei Kaischa: E-Sum
J.H. Loxton: The graphs of exponential sums
Code:
Lcm = LCM({10,7,17})
N = 1+Lcm
f(n)= n/10+n^2/7+n^3/17
expf(n)= exp(2*pi*i*f(n))
Lexp= Zip(expf(n),n,1...N)
LexpSum= Zip(Sum(Lexp,n),n,1...N)
PolyLine=Polyline(LexpSum)
C=Sum(LexpSum)/N
c1=Circle(C,10)
c2=Circle(C,23)