To build the calculator, we must define the hierarchy mathematically.
The "Fast Growing Hierarchy" (FGH) is a framework used in googology (the study of large numbers) to compare the growth rates of functions. Because the values produced by this hierarchy quickly become too large for standard computer arithmetic (even exceeding the estimated number of atoms in the universe within the first few steps), a "calculator" in the traditional sense (input number -> output number) is impossible for higher levels. fast growing hierarchy calculator