Symmetry of a Mystery Curve
Symmetry of a Mystery Curve
This Demonstration shows graphs of the function , where , , and are complex coefficients and the frequencies , , and are integers. In particular, for the frequencies 1, 6, and -14, the curve has five-fold symmetry.
f(t)=a+b+c
it
n
1
e
it
n
2
e
it
n
3
e
a
b
c
n
1
n
2
n
3