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 | \(\{10,10 [3] 2\}\) (exact) |
| Cascading-E notation | \(\textrm E10\#\textrm{^}\#\#10\) |
| 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 (using this system
of fundamental sequences) |
\(g_{\psi_0(\Omega^{\Omega^{\Omega\omega}})}(10)\) |
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's full array on his website. However, he writes it incorrectly, giving it 11 rows instead of 10.
Sources[]
- ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved January 2013.
See also[]
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
Crystiterminus's extensions gixxol · gaxxol · geexol · guxxol · boxxol
BAT4423's extensions exanossol · zettanossol · yottanossol · tramossol · temossol · pemossol · hemossol
MultiArrest91's extensions ringelus
XRQ CORPORATION's extensions: troxxol · quadroxxol · quintoxxol · sextoxxol · septoxxol · grand goxxol · grand xappolplex · demperal · xapboopol · goxbooxol · infessal · xaptroopol · xapquadroopol · xapgoobol · goxgoobol · goxdubol · goxtriubol · goxtetrubol · goxpentubol · dueli-xappol · dueli-goxxol · dueli-xappolplex · ronnanossol
Douglas Shamlin Jr.'s extensions ronnossol · quettossol