Latri is equal to {3,3,3 (1) 2} = {3,3 (1) 3} = {3,2 (1) 4} in BEAF.[1] The term was coined by Jonathan Bowers.
Latri is comparable to \(f_{\omega^\omega+2}(3)\) in the fast-growing hierarchy.
Computation[]
Latri can be computed in the following process:
- Let a1 = 3.
- Let a2 = {3,3,3} (a.k.a. tritri).
- Let a3 = {3,3,...,3,3} (where the number of threes is a2) = {3,{3,3,3} (1) 2} (a.k.a. dupertri).
- Continuing, let an = {3,3,...,3,3} (with an - 1 threes) = {3,an - 1 (1) 2}.
- Latri is equal to aa3.
Approximations[]
Notation | Approximation |
---|---|
Bird's array notation | \(\{3,3,3 [2] 2\}\) (exact) |
Cascading-E notation | \(\textrm E3\#\text{^}\#3\#3\#3\) |
Hyperfactorial array notation | \(3![3,1,1,2]\) |
Fast-growing hierarchy | \(f_{\omega^{\omega}+1}(f_{\omega^{\omega}}(\text{tritri}))\) \(\approx f_{\omega^\omega+1}(f_{\omega^\omega}(f_3(f_2(35))))\) |
X-Sequence Hyper-Exponential Notation | \(3\{X^X+1\}3\{X^X\}3\{3\}3\) |
Hardy hierarchy | \(H_{\omega^{\omega^{\omega}+1}+\omega^{\omega^{\omega}}+\omega^{4}}(3)\) |
Slow-growing hierarchy | \(g_{\theta(\Omega^\Omega,\theta(\Omega^\Omega))}(3)\) |
Sources[]
- ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved January 2013.
See also[]
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 · 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: 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: quintiteral · quadrilatri · quintilatri · sextilatri · septilatri · octilatri · nonilatri · decilatri
Exeen Management World's extensions: dutritet · dutetratet · dupentapent · duheptasept · duheptadecal · duoctadecal · duennadecal · grand dutritri · tritridecal · tritetradecal · quadritridecal
BAT4423's extensions: duhexadecal