- For DeepLineMadom's boogolplex, see Myriad.
Boogolplex is equal to {10,10,boogol} or {10,10,{10,10,100}} in BEAF.[1] It is equal to \(10 \uparrow\uparrow ... \uparrow\uparrow10\) in arrow notation, where there are boogol ↑'s. The term was coined by Jonathan Bowers.
Aarex Tiaokhiao calls this number golsolplex or golsol-golsoler and is equal to s(10,s(10,100,1,2),1,2) = s(10,s(10,10,100),1,2) = s(10,10,s(10,10,100)) in strong array notation. [2]
AlexJN calls this number unolplex and it is equal to 10(1)10(1)100 in Diagonalizable @ Notation.[3]
Etymology[]
The name of this number is based on the suffix "-plex" and the number "boogol".
Approximations in other notations[]
| Notation | Approximation |
|---|---|
| Bird's array notation | \(\{10,10,\{10,10,100\}\}\) (exactly equal) |
| Hyper-E notation | \(\textrm{E}100\#\#100\#2\) |
| Chained arrow notation | \(10 \rightarrow 10 \rightarrow (10 \rightarrow 10 \rightarrow 100)\) (exactly equal) |
| Graham Array Notation | \([10,10,100,2]\) (exactly equal) |
| Hyperfactorial array notation | \(12!(12!99)\) |
| Fast-growing hierarchy | \(f_{\omega}(f_{\omega}(101))\) |
| Hardy hierarchy | \(H_{(\omega^{\omega})2}(101)\) |
| Slow-growing hierarchy | \(g_{\varphi(\varphi(99,0),0)}(100)\) |
Sources[]
- ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved January 2013.
- ↑ Part 1 (LAN) - Aarex's Googology (archived) (retrieved 2017-02-25)
- ↑ 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
TheInfinitySeeker's extensions: · septiggol · septaggol · septeegol