Detonation refers to the binary function \(a\ \{\{\{\{1\}\}\}\}\ b = \{a,b,1,4\}\), using BEAF.[1]
In the fast-growing hierarchy, \(f_{\omega3+1}(n)\) is approximately comparable to the growth rate of detonation.
In chained arrow notation, \(a \rightarrow a \rightarrow a \rightarrow a \rightarrow b\) expands similarly to \(a\{\{\{\{1\}\}\}\} b\).
Sources[]
See also[]
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...