Version: 1.51.2
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
January 1st, 2025: HAPPY NEW YEAR 2025!
[v1.46] March 25th, 2025: There was a huge break for this project, so I made the huge comeback. Those changes including:
Continued working from the graltertol regiment.
Removed humorous information in the number of members.
[v1.47] March 26th, 2025: Let's continue for the second straight day, going all the way to the beginning of the godtopol regiment!
[v1.48] March 29th, 2025: Let's continue even further within the godtopol regiment, going up to graltopol!
[v1.49] June 6th, 2025: Just over two months of hiatus, I am going to continue further to the godhathor regiment.
[v1.49.1] June 7th, 2025: Fixed typos: "inbetween" => "in-between" (requiring a hyphen), continued the definition of the Extended Collapsing-E notation at sneak peak #4.
[v1.50] June 18th, 2025: Now we inch close to the gargantuan "tethrathoth" milestone, continuing further near the end!
[v1.50.1] June 20th, 2025: Completed the final main regiment of the cascading-E notation. Now we recap the entire ExE regiments from guppy regiment to the end of cascading-E regiment.
[v1.51] August 4th, 2025: Yet another hiatus? Now we have the time for a brief continuation of the Collapsing-E notation.
[v1.51.1] August 5th, 2025: Continued working at the seventh sneak peak of the Collapsing-E notation.
[v1.51.2] August 7th, 2025: Reorganized the plan by adjusting the ExE number range after tethrathoth.
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)
Comprehensive lists
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, depending on the external sources.
✪ (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+ = ?????