Hierarchy Calculator: Fast Growing

This piece covers the mathematical foundations, the engineering challenges of building such a calculator, and provides a working code implementation for the computable levels of the hierarchy.

Educational Value

Demystifies large number functions.
Builds intuition for ordinal notations and transfinite induction.
Useful for googology enthusiasts, math students, and programming language nerds exploring recursion.

The calculator is capable of handling large inputs and computing results quickly, often in a matter of seconds. fast growing hierarchy calculator

if isinstance(alpha, int): if depth > 3: # Limit output depth return f"prefix -> (Massive Iteration)"

💡 Key Takeaway: The FGH is the "gold standard" for measuring growth. If a function can be proven to sit at fϵ0f sub epsilon sub 0 Demystifies large number functions