## Fibonacci soup

There’s a meme floating around on places such as /r/ProgrammerHumor and /r/mathmemes:
But what properties (mathematically) would such a soup have after many days? Specifically, if we start with two distinct soups and every day produce a new one that is a mix of soups from the previous two days, what kind of soup will we ultimately end up with? Turns out the solution is a neat application of first-year university maths so let’s dig in!
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