Googology Wiki
Advertisement
Googology Wiki

View full site to see MathJax equation

The goobolzettaplex is equal to {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (1021 + 1 times). The term was coined by HaydenTheGoogologist2009.[1]

Approximations[]

Notation Approximation
Bowers' Exploding Array Function \(\lbrace10,\lbrace10,21\rbrace+2,2(1)2\rbrace\)
Bird's array notation \(\lbrace10,\lbrace10,21\rbrace+2,2[2]2\rbrace\)
DeepLineMadom's Array Notation 10[2{2}2]((10[3]21) + 2)
Cascading-E notation \(E100\#\text{^}\#100\#(1+E21)\)
Hyperfactorial array notation \(100![10^{21}+1,1,1,2]\)
Strong array notation s(10, s(10, 21) + 2, 2 {2} 2)
Fast-growing hierarchy \(f_{\omega^{\omega}}^{10^{21}+1}(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega}}10^{21}+1}(100)\)

Sources[]

  1. Hayden's Big Numbers - Goobol series. Retrieved 2022-09-12.
Advertisement