The kaboodol can be defined by following these steps:[1]
- Define \(f^{x}(n)\) as \(\underbrace{f(f(f(\ldots n\ldots)))}_x\).
- Define \(f\uparrow\uparrow x (n)\) as \(\underbrace{f^{f^{f^{.^{.^{.^{f(n)}.}.}.}(n)}(n)}(n)}_x\).
- Continue, using Chained Arrow Notation.
- Define \(f(n)\) as \(\text{hyper}(n,n,n)\).
- Kaboodol is \(f\rightarrow \underbrace{10 \rightarrow\ldots\rightarrow 10}_{100}(100)\).
Kaboodol is larger than \(\underbrace{10 \rightarrow\ldots\rightarrow 10}_{102}\), but smaller than \(\underbrace{10 \rightarrow\ldots\rightarrow 10}_{103}\), which is approximately \(f_{\omega^2}(101)\).
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Numbers from A googol is a tiny dot
Hypermathematics: bigoogol · trigoogol · quadrigoogol · coogol(plex)
Hyperlicious: wakoogol(plex) · wakamoogol(plex) · wonkapoogol(plex) · ultron
Numbers with a W: woogol · wiggol · waggol · weegol · wigol · woggol · wagol · bwoogol · bwiggol · bwaggol · bweegol · bwigol · bwoggol · bwagol
Primes: Gooprol(plex) · Booprol · Trooprol · Quadrooprol
Other: Bentley's Number · Pigol · Egol · Phigol · gongol(plex) · kaboodol(plex) · gaz(illion)