- Not to be confused with ultratri.
The ultatri is equal to {3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3} (twenty-seven 3's) = {3,27 (1) 2} in BEAF,[1] or 27 & 3 using the array of operator. The term was coined by Jonathan Bowers.
Approximations in other notations[]
| Notation | Approximation |
|---|---|
| Bird's array notation | \(\{3,27[2]2\}\) (exact) |
| Cascading-E notation | \(\text{E}3\#\text{^}\#26\) |
| Fast-growing hierarchy | \(f_{\omega^{25}}(3)\) |
| Hardy hierarchy | \(H_{\omega^{\omega^{25}}}(3)\) |
| Slow-growing hierarchy | \(g_{\psi_0(\Omega^{\Omega^{24}\omega})}(3)\) using this system of fundamental sequences |
Sources[]
- ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved January 2013.
See also[]
3 entries: tritri · tritet · tripent · trisept · tridecal
4 entries: tetratri · supertet · general(plex) (tetradecal)
5-10 entries: pentatri · superpent · pentadecal(plex) · hexatri · superhex · hexadecal(plex) · heptatri · supersept · heptadecal · superoct · octadecal · superenn · ennadecal · iteral (superdecal)
Over 10 entries: ultatri · dupertri · duperdecal (iteralplex) · truperdecal · quadruperdecal
Tritri series: tritri · tritet · tripent · trisept · tridecal · grand tridecal
Tetratri series: tetratri · supertet · general(plex)
Pentatri series: pentatri · superpent · pentadecal(plex)
Hexatri series: hexatri · superhex · hexadecal(plex)
Heptatri series: heptatri · supersept · heptadecal
Iteral series: superoct · octadecal · superenn · ennadecal · iteral · ultatri
Dupertri series: dupertri · duperdecal · truperdecal · quadruperdecal
Latri series: latri · emperal(plex) · hyperal(plex) · diteral(plex) · admiral
Dutritri series: dutritri · dutridecal
Dimentri series: dimentri · dimendecal · dulatri · trilatri · trimentri
Triakulus series: triakulus · tridecatrix
Big boowa series: big boowa · great big boowa · grand boowa
Tiaokhiao's extensions: trihex · trioct · triennet · triundecal · tridodecal · tritriplex · tritriplexian · grand tritri · tetrapent · tetrahex · grand tetratri · octatri · enneatri · decatri · undecatri · dodecatri
RedBandServerYT's extensions: tridecalplex
Douglas Shamlin Jr.'s extensions: grand tridecalplex · quintuperdecal · triteral · dutetradecal · quadriteral · dupentadecal · duladecal · triladecal
MultiArrest91's extensions: tritredecal · tritetradecal · sextuperdecal · septuperdecal · octuperdecal · nonuperdecal · decuperdecal · centuperdecal · milluperdecal · quadritetradecal · quintitridecal
SeveralLegend9998's extensions: corboral
XRQ CORPORATION's extensions: grand tridecal · grand emperal · grand grand emperal · quintiteral · quadrilatri · quintilatri · sextilatri · septilatri · octilatri · nonilatri · decilatri
Exeen Management World's extensions: dutritet · dutetratet · dupentapent · duheptasept · duheptadecal · duoctadecal · duennadecal · grand dutritri · demperal · tritridecal · tritetradecal · quadritridecal
BAT4423's extension: duhexadecal
ARsygo's extensions: tritridex · tritetdex · grand tritet · grand tripent · grand dozenal · grand trihectal · grand tritriplex · great tridecal · gigantic tridecal · gorged tridecal · gulp tridecal · gasp tridecal · tetrahept · tetraoct · tetraenn · grand tetradecal · pentatet · hexatet · hexapent
TheInfinitySeeker's extensions: dutritritri