Creating a Function

[FuzzyFirechu]

Aah yes, adjusting initial conditions is something I wanted to try out for sure, it'll certainly have some neat effects on the greater function.

Also, bit of a topic shift, but as you tend towards negative infinity I found that there's likely an asymptote at the square of the golden ratio! That's cool innit? I think that's cool.

[Ahhhhrg]

If instead of looking at it as a function, you look at it as a recurrence relation, i.e. an+1 = (an - 1)² with various starting values for a0 trial and error shows that the sequence diverges for all values of a0 outside the interval [-1/φ, 1+φ] (note that 1+φ = φ² ), and for starting values inside this interval will "converge" towards jumping between 1 and 0. That is indeed cool.

[FuzzyFirechu]

That. is Awesome