A visual representation of a giggolplex
The giggolplex is equal to {10,giggol,2} in BEAF, or 10 tetrated to the giggol. Thus, it is equal to 1010...1010, where there are giggol tens.[1] The term was coined by Jonathan Bowers.
Giggolplex is also called hectalogialogue by Sbiis Saibian, and equal to E1#giggol = E1#(E1#100) = E1#100#2 in Hyper-E notation.[2]
Aarex Tiaokhiao calls this number giggolduex.[3]
Username5243 calls this number doogolplex and doogolduex.[4]
Binary198 calls this number doobol (double+googol), and it's equal to {10, 0, 1 (1) 10, 0, 1 (1) 100, 0, 1} = {10, {10, 100, 1}, 1} in BIP-array Notation.[5]
DeepLineMadom calls this number quadoogolplex, and it's equal to 10[4]10[4]100 using DeepLineMadom's Array Notation.[6]
Etymology
The name of the number is based on suffix -plex and the number giggol.
Approximations in other notations
| Notation | Approximation (or exact value) |
|---|---|
| Up-arrow notation | \(10 \uparrow\uparrow (10 \uparrow\uparrow 100)\) (exact) |
| Hyper-E notation | \(\textrm{E}1\#100\#2\) (exact) |
| Chained arrow notation | \(10 \rightarrow (10 \rightarrow 100 \rightarrow 2) \rightarrow 2\) (exact) |
| Hyperfactorial array notation | \((102!1)!1\) |
| Fast-growing hierarchy | \(f^2_3(98)\) |
| Hardy hierarchy | \(H_{(\omega^3) 2}(100)\) |
| Slow-growing hierarchy | \(g_{\varepsilon_{\varepsilon_0}}(100)\) |
Sources
- ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved January 2013.
- ↑ Saibian, Sbiis. 4.3.2 - Hyper-E Notation - Large Numbers. Retrieved 2016-08-04.
- ↑ Part 1 (LAN) - Aarex Googology[dead link]
- ↑ Username5243. Part 1 - My Large Numbers. Retrieved 2017-01-15.
- ↑ A mathematical journey, retrieved 2021-09-23
- ↑ DeepLineMadom's googology - Numbers I've coined (Retrieved 4 May 2022)
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 · quintoggol · quintagol · (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 · 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)
Unofficial: bigolplex · boggolplex · bagolplex · treegolplex · troggolplex · tragolplex · treebol · tribol · trobbol · trabol · quadreebol · quadribol · quadrobbol · quadrabol · trooquadrol · quadrooquadrol · gissolplex · gassolplex · gussolplex
-logue series: Dialogue · Trialogue · Tetralogue · Pentalogue · Hexalogue · Heptalogue · Octalogue · Ennalogue · Dekalogue · Endekalogue · Dodekalogue · Triadekalogue · Tetradekalogue · Pentadekalogue · Hexadekalogue · Heptadekalogue · Octadekalogue · Ennadekalogue · Icosalogue · Triantalogue · Terantalogue · Penantalogue · Exatalogue · Eptatalogue · Ogdatalogue · Entatalogue · Hectalogue · Chilialogue · Myrialogue · Chilia-chilialogue · Chilia-myrialogue · Myria-myrialogue · Dialogialogue · Sedeniadalogue · Guppylogue · Minnowlogue · Gobylogue · Gogologue · Ogologue · Googologue · Trialogialogue · Googolplexilogue · Tetralogialogue · Googolduplexilogue · Pentalogialogue · Googoltriplexilogue · Hexalogialogue · Heptalogialogue · Octalogialogue · Ennalogialogue · Dekalogialogue · Hectalogialogue · Chilialogialogue · Myrialogialogue · Octadialogialogue · Sedeniadialogialogue · Trialogialogialogue · Tetralogialogialogue · Pentalogialogialogue · Hexalogialogialogue · Heptalogialogialogue · Octalogialogialogue · Ennalogialogialogue · Dekalogialogialogue · Hectalogialogialogue · Chilialogialogialogue · Myrialogialogialogue · Octadialogialogialogue · Sedeniadialogialogialogue
-taxis series: Tria-taxis · Tetra-taxis · Penta-taxis · Hexa-taxis · Hepta-taxis · Octa-taxis · Enna-taxis · Deka-taxis · Hecta-taxis · Chilia-taxis · Myria-taxis · Chilia-chilia-taxis · Chilia-myria-taxis · Myria-myria-taxis · Sedeniadia-taxis · Googolia-taxis · Trialogia-taxis · Googolplexia-taxis · Tetralogia-taxis · Googolduplexia-taxis · Pentalogia-taxis · Googoltriplexia-taxis · Hexalogia-taxis · Heptalogia-taxis · Octalogia-taxis · Ennalogia-taxis · Dekalogia-taxis · Triataxia-taxis · Dekataxia-taxis · Hectataxia-taxis · Triataxiataxia-taxis · Dekataxiataxia-taxis · Hectataxiataxia-taxis
-petaxis series: Tria-petaxis · Tetra-petaxis · Penta-petaxis · Hexa-petaxis · Hepta-petaxis · Octa-petaxis · Enna-petaxis · Deka-petaxis · Hecta-petaxis · Chilia-petaxis · Myria-petaxis
-exaxis series: Tria-exaxis · Tetra-exaxis · Deka-exaxis · Hecta-exaxis · Chilia-exaxis · Myria-exaxis
-eptaxis series: Tria-eptaxis · Tetra-eptaxis · Deka-eptaxis · Hecta-eptaxis · Chilia-eptaxis · Myria-eptaxis
-octaxis series: Tria-octaxis · Tetra-octaxis · Deka-octaxis · Hecta-octaxis · Chilia-octaxis · Myria-octaxis
-ennaxis series: Tria-ennaxis · Tetra-ennaxis · Deka-ennaxis · Hecta-ennaxis · Chilia-ennaxis · Myria-ennaxis
-dekaxis series: Tria-dekaxis · Tetra-dekaxis · Deka-dekaxis · Hecta-dekaxis · Chilia-dekaxis · Myria-dekaxis
-endekaxis series: Tria-endekaxis · Tetra-endekaxis · Deka-endekaxis · Hecta-endekaxis · Chilia-endekaxis · Myria-endekaxis
-dodekaxis series: Tria-dodekaxis · Tetra-dodekaxis · Deka-dodekaxis · Hecta-dodekaxis · Chilia-dodekaxis · Myria-dodekaxis
