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Symmetry of a Mystery Curve

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