Where are you getting at with the the t(n)?
As you said, the golden ratio is defined as the limit of f(n+1)/f(n), and yes, with this implementation (because f ~ t) t(n+1)/t(n) also converges to the golden ratio, but... so what, why not just use f ?
It's been done before. Calculating the golden ratio using your method provides insights into the world of mathematics. My method provides insights into the world of programming.
Comments
Where are you getting at with the the t(n)? As you said, the golden ratio is defined as the limit of f(n+1)/f(n), and yes, with this implementation (because f ~ t) t(n+1)/t(n) also converges to the golden ratio, but... so what, why not just use f ?
It's been done before. Calculating the golden ratio using your method provides insights into the world of mathematics. My method provides insights into the world of programming.