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The xappol is equal to {10,10 (2) 2}, or 10 by 10 array of 10's in BEAF.[1]

The xappol is written out in the multirowed array notation as:

        /10 10 10 10 10 10 10 10 10 10\

      /  10 10 10 10 10 10 10 10 10 10  \

    /    10 10 10 10 10 10 10 10 10 10    \

  /      10 10 10 10 10 10 10 10 10 10      \

/        10 10 10 10 10 10 10 10 10 10        \   

\        10 10 10 10 10 10 10 10 10 10        /    

  \      10 10 10 10 10 10 10 10 10 10      /   

    \    10 10 10 10 10 10 10 10 10 10    /  

      \  10 10 10 10 10 10 10 10 10 10  / 

        \10 10 10 10 10 10 10 10 10 10/

Approximations

Notation Approximation
Bird's array notation \(\{10,10 [3] 2\}\)
Cascading-E notation \(E10\#\text{^}\#\#10\)
Hyperfactorial array notation \(10![1,[1,1,3],1,2]\)
Fast-growing hierarchy \(f_{\omega^{\omega^2}}(10)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^2}}}(10)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega^{\Omega\omega})}(10)\)

Trivia

  • The Googology Wiki IRC channel used to have a bot named XappolBot.
  • Jonathan Bowers describes Xappol as “unspeakably huge” on his Infinity Scrapers website. He also writes out Xappol on his website.

Sources

  1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

See also

Jonathan Bowers' colossol series

Tritri series: tritri · dutritri · dimentri
Xappol series: xappol · xappolplex · grand xappol
Colossol series: colossol(plex) · terossol(plex) · petossol(plex) · ectossol(plex) · zettossol(plex) · yottossol(plex) · xennossol(plex)
Dimendecal series: dimendecal · gongulus(plex/duplex/triplex/quadraplex)
Saibian's extensions: goxxol · coloxxol · teroxxol · petoxxol · ectoxxol · zettoxxol · yottoxxol · xennoxxol · dimendoxxol
Tiaokhiao's extensions: killanossol · meganossol · giganossol · teranossol · petanossol · vamossol