Typical results when computing n {{{2}}} m.
Multiexplosion refers to the binary function \(a \{\{\{2\}\}\} b = \{a,b,2,3\} = \underbrace{a \{\{\{1\}\}\} a \{\{\{1\}\}\} \ldots \{\{\{1\}\}\} a \{\{\{1\}\}\} a}_b\), using BEAF.[1]
In the fast-growing hierarchy, \(f_{\omega2+2}(n)\) approximately corresponds to multiexplodal growth rate.
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Main article: hyper operator
Hyper-operators: successor · addition · multiplication · exponentiation · tetration · pentation · hexation · heptation · octation · enneation · decation (un/doe/tre) · vigintation (doe) · trigintation · centation (tri) · docentation · myriation · circulationBowers' extensions: expansion · multiexpansion · powerexpansion · expandotetration · explosion (multi/power/tetra) · detonation · pentonation
Saibian's extensions: hexonation · heptonation · octonation · ennonation · deconation
Tiaokhiao's extensions: megotion (multi/power/tetra) · megoexpansion (multi/power/tetra) · megoexplosion · megodetonation · gigotion (expand/explod/deto) · terotion · more...