- For DeepLineMadom's boogoltriplex, see million.
Visual representation of a boogoltriplex in up-arrow notation
Boogoltriplex is equal to {10,10,boogolduplex} in BEAF.[1] It is equal to 10↑↑...↑↑10 in arrow notation, where there are boogolduplex ↑'s. The term was coined by Jonathan Bowers.
AlexJN calls this number unoltriplex and it is equal to 10(1)*3\100 in Diagonalizable @ Notation.[2]
Etymology[]
The name of the number is based on Latin prefix "tri-" and the number "boogolplex".
Approximations in other notations[]
| Notation | Approximation |
|---|---|
| Bird's array notation | \(\{10,10,\{10,10,\{10,10,\{10,10,100\}\}\}\}\) (exact) |
| Hyper-E notation | \(\textrm E100\#\#100\#4\) |
| Chained arrow notation | \(10 \rightarrow 10 \rightarrow (10 \rightarrow 10 \rightarrow (10 \rightarrow 10 \rightarrow (10 \rightarrow 10 \rightarrow 100)))\) (exact) |
| Graham Array Notation | \([10,10,100,4]\) (exact) |
| X-Sequence Hyper-Exponential Notation | \(10\{X\}10\{X\}10\{X\}10\{X\}100\) (exact) |
| Hyperfactorial array notation | \(12!(12!(12!(12!(99)))\) |
| Fast-growing hierarchy | \(f^4_\omega(101)\) |
| Hardy hierarchy | \(H_{(\omega^{\omega})4}(101)\) |
| Slow-growing hierarchy | \(g_{\varphi(\varphi(\varphi(\varphi(99,0),0),0),0)}(100)\) |
Sources[]
- ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved January 2013.
- ↑ AlexJN, https://sites.google.com/view/alexjn/diagonalizable-notation/number-names/part-1, retrieved November 25, 2024
See also[]
Googol series: googol(plex/duplex/triplex/quadraplex/quinplex) · giggol(plex/duplex) · gaggol(plex/duplex) · geegol(plex) · gigol(plex) · goggol(plex) · gagol(plex)
Boogol series: boogol(plex/duplex/triplex) · biggol(plex/duplex) · baggol(plex) · beegol(plex) · bigol · boggol · bagol
Troogol series: troogol(plex/duplex) · triggol(plex/duplex) · traggol(plex/duplex) · treegol · trigol · troggol · tragol
Quadroogol series: quadroogol(plex/duplex) · quadriggol(plex) · quadraggol · quadreegol · quadrigol · quadroggol · quadragol
Quintoogol series: quintoogol(plex) · quintiggol · quintaggol · quinteegol · quintigol · quintagol
Sextoogol series: sextoogol · septoogol · octoogol
Goobol series: goobol(plex) · gibbol · gabbol · geebol · gibol · gobbol · gabol
Boobol series: boobol · bibbol · babbol · beebol · bibol · bobbol · babol
Troobol series: troobol · tribbol · trabbol
Quadroobol series: quadroobol · quadribbol · quadrabbol · (quintoobol)
Gootrol series: gootrol · gitrol · gatrol · geetrol · gietrol · gotrol · gaitrol
Bootrol series: bootrol · trootrol · quadrootrol
Gooquadrol series: gooquadrol · booquadrol · quadreequadrol · (gooquintol)
Gossol series: gossol(plex) · gissol · gassol · geesol(plex) · gussol
Mossol series: mossol(plex) · missol · massol · meesol · mussol
Bossol series: bossol · bissol · bassol · beesol · bussol
Trossol series: trossol · trissol · trassol · treesol · trussol · (quadrossol · quintossol)
Dubol series: dubol · dutrol · duquadrol · dossol(plex)
Douglas Shamlin Jr.'s extensions: nonoogol · decoogol · undecoogol · duodecoogol · tredecoogol · quattuordecoogol · quindecoogol · sexdecoogol · septendecoogol · octodecoogol · novemdecoogol · vigintoogol · trigintoogol · quadragintoogol · quinquagintoogol · sexagintoogol · septuagintoogol · octogintoogol · nonagintoogol · centoogol · googoloogol · boobolplex · troobolplex · bitrol · batrol · goosextol · dubolplex
BAT4423's extensions: sextoobol · quintootrol · sextossol · duquintol
XRQ CORPORATION's extensions: gibbolplex · gabbolplex · quintibbol · gootrolplex · beetrol · tritrol · tratrol · giquadrol · gaquadrol · gooseptol · bossolplex · quadrissol · quadrassol · quadreesol · quadrussol · septossol