ExE ultimate googolism generator
Version: 1.43
Inspired by Sbiis Saibian's ExE generator and ARsygo's ExE googolism generator (further inspired by Denis Maksudov's generator of googologisms for FGH).
Original by Sbiis Saibian, filled/generalized/fixed/extended by DeepLineMadom (me).
Parent site: Pointless Googolplex Stuffs
Related sites: Satanic Infinity Scrapers (inspired by Jonathan Bowers)
Sister sites: More Extensible-E notations
Updates
January 1st, 2024: HAPPY NEW YEAR 2024!
[v1.41.2] February 26th, 2024: Following a 57-day hiatus, I pointed out some mistakes. I fixed some -illitriplexion number names in the third part of the guppy regiment.
[v1.41.3a] March 3rd, 2024: I paused some new numbers in the Collapsing-E notation at sneak peak #6 and see the more precise approximation of the Saibian's not-fully-formalized notations.
[v1.41.3b] March 4th, 2024: Sneak peak #6 in comparison with /xE^ continues...
[v1.41.3c] March 5th, 2024: Sneak peak #6 in comparison with /xE^ continues again...
[v1.41.3d] March 13th, 2024: I fixed one number in the guppy regiment extended-A: (2531) guppyswarm => guppyswarmswarm
[v1.42] April 1st, 2024: Happy April Fool's Day! It's time to reach the thraeltothol regiment! Welcome back!
I added something funny into the site: What the heck is the tip number 1000 in NO!'s Numbers -Infinity to Infinity Series? It's at "godtertoldeusitetrece = E100#^#^#^(#^#*#^#)100"!
[v1.42.1] April 2nd, 2024: Added new numbers up until the terinntothol regiment.
[v1.42.2] April 3rd, 2024: Fixed one typo in E43: ubiqutous => ubiquitous; Reorganized lists of numbers.
[v1.43] April 17th, 2024: Two-week comeback after Songkran Day, I continue up and reach the godtertol regiment.
Extensions
I plan to create some extensions of the Extensible-E system by Sbiis Saibian.
Collapsing-E notation (&E) [Predicted FGH ordinal level BHO (ψ0(ε(Ω+1)))] (definition completed, number list in progress)
Extended Collapsing-E notation (x&E) [Predicted FGH ordinal level ψ0(Ω_ω)] (in progress)
Hyper-Extended Collapsing-E notation (#x&E) [Predicted FGH ordinal level ψ0(Φ_1(0)), where Φ_1(0) is the least omega fixed point] (planned)
Inaccessible Collapsing-E notation (I&E) [Predicted FGH ordinal level (unknown)] (planned)
List of numbers
Comprehensive lists
Tips
Legend:
★ (Star) = The milestone number (typically at the terminal point of each regiment or squad). Varies depending on the number list.
✪ (Super-Star) = The big milestone number (typically at the terminal point of each major regiment, super regiment, mega regiment, etc.). Varies depending on the number list.
☆ (Featured Star) = Recommended number. May vary depending on the number list, but all milestones up to tethrathoth (E100#^^#100) are featured numbers.
⍟ (Popular Star) = Widely used in googology community. Do not vary depending on the number list.
✳ (Dictionary Star) = Have a well-established names in dictionary, either they have some definitions related to the googolism or not.
✪ (Filled Descriptions) = The number has more than many descriptions. Only used in the complete number list.
✡ (Last and/or Largest Number) = The last or the largest number of a specific category, zone, the ExE notation level, or the set of numbers with that property.
✤ (Old Number) = The number was invented somewhere from 1920 (the year of googol naming) to 1983 (the year of Sbiis Saibian's birth).
✥ (Pioneer Number) = The number was invented somewhere before 1920.
Classifications:
Level 1 = 0 to the limit of the Cascading-E notation [Stage A-B]
Level 2 = Extended Cascading-E notation - Hyper-Extended Cascading-E notation level [Classification A - Stage B]
Level 3 = Collapsing-E notation level [Classification A - Stage B]
Level 4 = Extended Collapsing-E notation level [Classification A - Stage B]
Level 5 = Hyper-Extended Collapsing-E notation level [Classification A - Stage B]
Level 6+ = ?????