Fast Growing Hierarchy Calculator High Quality [best] May 2026

This is meant to be both educational for those learning FGH and useful for someone wanting to implement their own calculator.

Below is a robust implementation supporting ordinals up to ( \varepsilon_0 ) with clear recursion limits and step-by-step output. fast growing hierarchy calculator high quality

# Limit Ordinal else: next_alpha = self.fundamental_sequence(alpha, x) return self._f(next_alpha, x) This is meant to be both educational for

The Need for a Fast-Growing Hierarchy Calculator

[ \beginaligned f_0(n) &= n + 1 \ f_\alpha+1(n) &= f_\alpha^n(n) \quad \text(iteration) \ f_\lambda(n) &= f_\lambda[n](n) \quad \text(for limit ordinal \lambda \text) \endaligned ] x) return self._f(next_alpha

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Use Python (for fractions and big ints) or Rust (for performance and safety). Avoid JavaScript for large n.