# 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