Quadritetrom

The quadritetrom is equal to \(f_{\omega^{\omega^{\omega^\omega}}}(10)\) using the fast-growing hierarchy.My system of number names (FGS) - Traveling To The Infinity The term was coined by wiki user Denis Maksudov. The number is comparable to Saibian's dekaelgathor.
== Etymology ==
The 3 parts of the name, "quadri", "tetr" and "om", mean 4, tetration and \(\omega\) respectively, which form \(\omega\uparrow\uparrow4=\omega^{\omega^{\omega^\omega}}\) when concatenated backwards. So the full name indicates the ordinal index of the FGH.
== Approximations ==
Notation 	Approximation
Hyper-E notation 	\(\textrm E10\#\text{^}\#\text{^}\#\text{^}\#10\)
BEAF 	\(\lbrace10,10((1)1)2\rbrace\)
Bird's array notation	\(\lbrace10,10[1[2]2]2\rbrace\)
Dollar Function 	\(10$[[[[[0]]]]]\)
== Sources ==
Category:Numbers
Category:Numbers by Denis Maksudov
Category:10-based FGH numbers
Category:Double exponentiated polynomial omega level