This is an old document I created - recently revised - outlining the mathematical applications of the Lux Telegram puzzle in both "ww_lux_realism" and "ww_lux_realism_night"

I call it "Tayler’s code: Journal of the Lux Telegram"

It is safe to assume that in billions of years, two steam users will have the same code.
After studying a little game theory, calculus, statistics, and computing the procedure (3 stage word problem), I created a puzzle more sophisticated than you might imagine:

https://docs.google.com/document/d/e/2PACX-1vRvp22lZJ7IwEx56vWqbZVVqFGi6jR3PSj-_gGxzaBIk5mzkMvLJwUzyw71tQoUCjSpxtk2DxfkhLz5/pub