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The kaboodol can be defined by following these steps:[1]

  1. Define \(f^{x}(n)\) as \(\underbrace{f(f(f(\ldots n\ldots)))}_x\).
  2. Define \(f\uparrow\uparrow x (n)\) as \(\underbrace{f^{f^{f^{.^{.^{.^{f(n)}.}.}.}(n)}(n)}(n)}_x\).
  3. Continue, using Chained Arrow Notation.
  4. Define \(f(n)\) as \(\text{hyper}(n,n,n)\).
  5. 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 \(\underbrace{10 \rightarrow\ldots\rightarrow 10}_{103}\)

Sources Edit

  1. [1]

See alsoEdit

Numbers from A googol is a tiny dot

Hypermathematics: bigoogol · trigoogol · quadrigoogol · ggoogol · biggoogol · gggoogol · gwgoogol · 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 · Booprol · Trooprol · Quadrooprol
Other: Bentley's Number · Pigol · Egol · Phigol · gongol(plex) · kaboodol(plex) · gaz(illion)

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