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The humongulusplex is equal to $$\{10,10,\text{humongulus}\}\ \&\ 10$$ using the array of operator and BEAF.[1] Its array is intended to have a humongulus+2-ational hypercube with side length 10. The term was coined by Cookie Fonster. The number is derived from the humongulus plus the -plex suffix. Since BEAF has not been formalised by Bowers at this level, this number is currently ill-defined.

## Approximations

Since it is not defined by now, the following approximation is just an expected value.

Notation Approximation
Fast-growing hierarchy $$f_{\varphi(\text{humongulus}-2,0,0)}((f_{\varphi(98,0,0)}(100))$$
$$\approx f_{\varphi(\omega,0,0)}^2(98)$$
Hardy hierarchy $$H_{\varphi(\text{humongulus}-2,0,0)}((H_{\varphi(98,0,0)}(100))$$

## Sources

1. Pointless Gigantic List of Numbers - Part 6: The Mighty RoyalsPointless Large Number Stuff. Retrieved 2017-05-21.