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Gingulus is equal to {10,100 (0,2) 2} = {10,100 (100,1) 2} in BEAF.[1] It is a 100-dimensional hypercube with side length of 100 where each cell is another 100-dimensional hypercube with side length of 100, and so it has 100200 entries. The term was coined by Jonathan Bowers.

## Approximations

Notation Approximation
Bird's array notation $$\{10,100 [1,3] 2\}$$
Cascading-E notation $$\textrm E100\#\text{^}(\#\text{^}\#\mbox *\#\text{^}\#)100$$
Hyperfactorial array notation $$100![1,[1,[1,1,2],1,2],1,3]$$
X-Sequence Hyper-Exponential Notation $$10\{X^{X^{X*2}}\}100$$
Fast-growing hierarchy $$f_{\omega^{\omega^{\omega 2}}}(100)$$
Hardy hierarchy $$H_{\omega^{\omega^{\omega^{\omega 2}}}}(100)$$
Slow-growing hierarchy $$g_{\vartheta(\Omega^{\Omega^{\Omega+\omega}})}(100)$$

## Sources

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.