Fast-Growing Hierarchy Calculator: High-Quality Tools for Googology
This represents the successor function, adding one to the input. fast growing hierarchy calculator high quality
But the Calculator revealed a third path: the fast-growing hybrid. It emerged when a hierarchy alternated—one layer enforced constraint and refinement, the next exploded breadth, then constraint again. Growth there was not only fast; it was catalytic. New capabilities appeared at the interface between compression and expansion, like sparks where two currents meet. Growth there was not only fast; it was catalytic
If you are looking to build or use a calculator for a specific project, let me know you want to calculate ( ϵ0epsilon sub 0 Growth there was not only fast
As of this writing, achieves the "high quality" ideal, but several open-source projects on GitHub are close—especially those written in Rust or Haskell for robust ordinal arithmetic.