Here’s a plot of exp(6it)/2 + exp(20it)/3:
Notice that the plot has 7-fold symmetry. You might expect 6-fold symmetry from looking at the equation. Where did the 7 come from?
I produced the plot using the code from this post, changing the line defining the function to plot to
def f(t): return exp(6j*t)/2 + exp(20j*t)/3
You can find the solution in Eliot’s comment in this Twitter thread.
2 thoughts on “Where does the seven come from?”
I don’t see an Eliot comment in that thread. Spoiler, please? :)
Ah, found it – twitter wasn’t showing nested replies in the thread :(