Gongulus

Gongulus is equal to \(\{10,10 (100) 2\}\) in BEAF. It is equivalent to solving a centeract (a 100-dimensional analog of the cube) of 10s with sidelength 10, and can thus be written & 10 using the array of operator. It has googol 10's. The term was coined by Jonathan Bowers.
In the article "Why Does God Exist?", Bowers makes a mention of "minus gongulus", making it the least real number explicitly mentioned on his site.
The full array has googol entries. It is visualized like:
{10,10,...,10,10(1)...(1)10,10,...,10,10(2)...(1)...(2)...(3)...(4)...(5)...(98)...(99)...(99)...(98)...(5)...(4)...(3)...(2)...(1)...(2)10,10,...,10,10(1)...(1)10,10,...,10,10}
== Approximations ==
Notation 	Approximation
Bird's array notation 	\(\{10,10 [101] 2\}\) (exact)
Cascading-E notation 	\(\textrm{E}10\#\text{^}\#\text{^}\#100\)
Hyperfactorial Array Notation 	\(10![1,[1,1,101],1,2]\)
X-Sequence Hyper-Exponential Notation	\(10\{X^{X^X}\}100\)
Fast-growing hierarchy 	\(f_{\omega^{\omega^{100}}}(10)\)
Hardy hierarchy 	\(H_{\omega^{\omega^{\omega^{100}}}}(10)\)
Slow-growing hierarchy (using this system
of fundamental sequences)	\(g_{\psi_0(\Omega^{\Omega^{\Omega^{99}\omega}})}(10)\)
== Sources ==
== See also ==
ja:ゴンギュラス
Category:Numbers
Category:Numbers by Jonathan Bowers
Category:Multi-Dimensional
Category:BEAF
Category:Exponentiated polynomial omega level