You're on a business trip when you meet Li Xiang, the woman/man of your dreams in the hotel bar. The two of you spend an amazing night together chatting about puzzles, trigonometry, and polyrhythms. (You both love the rhythmic pattern 3 against 5.) But when you wake up the next morning, Li is gone without a trace!
Dejected, you begin to pack your bags...but what's this? Inside your suitcase, you find a mysterious note scribbled on hotel paper (with immaculate handwriting):
What is Li's message?
Wolfram Alpha can be quite helpful for this problem.
the x and y formulae each include exactly two trigonometric functions: sine and cosine.
Sine and cosine are nested.
The following operations are used exactly once in each formula:
sin, cos, +, *
Being a rhythm, 3 and 5 correspond to frequency, not amplitude.
n = 0 to 2πis a full circle in radians. $\endgroup$