Visualisation of trisept using exponentations.
The trisept is equal to \(\lbrace7,7,7 \rbrace\) or \(7\lbrace7\rbrace7\) (7 enneated to 7) in BEAF.[1] The term was coined by Jonathan Bowers. This is the seventh Ackermann number.
ARsygo coined trihept for this number.[2]
DeepLineMadom coined Hungarian Bezers for this number, and is the 43rd number of the series Glycogenic Journey of the Britains.[3]
"Fashion" view of trisept using iterated power towers with arrows.
Etymology[]
The name of this number is based on tri- (three) and septa- (seven), meaning that there are 3 7's in the array.
Approximations[]
| Notation | Approximation |
|---|---|
| BEAF | \(\{7,7,7\}\) (exact) |
| Up-arrow notation | \(7\uparrow^{7} 7\) (exact) |
| Chained arrow notation | \(7\rightarrow 7\rightarrow 7\) (exact) |
| Hyperfactorial array notation | \(9!6\) |
| Notation Array Notation | \((7\{3,3\}7)\) (exact) |
| Fast-growing hierarchy | \(f_{8}(7)\) |
| Hardy hierarchy | \(H_{\omega^{7}5}(7)\) |
| Slow-growing hierarchy | \(g_{\varphi(6,0)}(7)\) |
Sources[]
- ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved January 2013.
- ↑ AR Googol - Numbers from BEAF. Retrieved 2022-12-05.
- ↑ Pointless Googolplex Stuffs - Glycogenic Journey of the Britains Retrieved 2025-03-08.
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 · 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