User:ARsygo/ExE generator of googologisms

Inspired by Denis Maksudov's generator of googologisms for FGH, I will do the same thing, but this time, using Extensible-E System which contains Hyper-E notation, Cascading-E notation, Extended Cascading-E Notation etc.

We are taking a detailed look at this notation.

This list also contains non-ExE numbers for comparison. Numbers in parentheses (googolism number) means numbers which coined by Sbiis Saibian based on his webpage.

Any users, including admins, can freely edit this page by adding more googologisms or explanations.

Any questions please leave a message on this talk page.

This page is basically a faketest, except this page is for Extensible-E System.

Numbers less than \(10^{-100}\) (mostly with n-minex suffix = \(10^{-\text{n}}\))

 * Googolminex, reciprocal of Googolplex, 10^(-googol)
 * Twerpuloidminex, 10^(-10^85)
 * Ogolminex, reciprocal of ogolplex (which shown later), 10^(-ogol)
 * Lightweightplex, 10^(-10^75)
 * Shrimpminex, reciprocal of shrimp-plex (which shown later) = \(10^{-10^{65}}\)
 * Gogolminex, reciprocal of Gogolplex, 10^(-gogol)
 * gobyminex, reciprocal of gobyplex, 10^(-goby)
 * Minnowminex, reciprocal of minnowplex (which shown later), 10^(-minnow)
 * Guppyminex, reciprocal of Guppyplex, 10^(-guppy)
 * Small fry-minex, 10^(-10^15)
 * Googolgandingan-minutia, reciprocal of googolgandingan = 10^(-10^14)
 * Googolthrong-minutia, reciprocal of googolthrong = 10^(-10^11)
 * Squeakerminex, 10^(-50000000000)
 * Dialogue-minex (or trialogue-minutia), reciprocal of Trialogue, 10^(-dialogue)
 * Googolbong-minutia, reciprocal of googolbong = 10^(-100000000)
 * Pipsqueak-minex, reciprocal of 10^10^7, 10^(-pipsqueak) or 10^(-crore)
 * Million-minex, reciprocal of 10^10^6, 10^(-million)
 * Clover mite-minex, reciprocal of 10^200000, \(10^{-\text{clover mite}}\)
 * Googolgong-minutia, reciprocal of googolgong
 * Ogolgong-minutia or Cheese mite-minex, reciprocal of ogolgong
 * shrimp-gong-minutia, reciprocal of shrimp-gong, \(10^{-65000}\)
 * Gogolgong-minutia or Dust mite-minex, reciprocal of Gogolgong
 * eyelash mite-minex (or guppygong-minutia), reciprocal of 10^20000, 10^(-eyelash mite) = \(10^{-20000}\)
 * googoltoll-minutia, reciprocal of googoltoll
 * Googolbell-minutia, 10^(-5000)
 * googolchime-minutia (or thousand-minex), reciprocal of Googolchime
 * googolding-minutia, reciprocal of googolding
 * ogolding-minutia, reciprocal of ogolding
 * shrimp-ding-minutia, reciprocal of 10^335 (shrimp-ding)
 * eceton-minutia-speck, \(10^{-313}\) (Not to be confused with the latter ecetonspeck-minutia)
 * eceton-minutia, reciprocal of eceton, \(10^{-303}\)
 * ecetonspeck-minutia, \(10^{-293}\) (Not to be confused with the former eceton-minutia-speck)
 * gogolding-minutia, \(10^{-250}\)
 * gargoogol-minutia, \(10^{-200}\)
 * minnowding-minutia, \(10^{-125}\)


 * (32) the smallest googologism listed in the hyper-E number lists: googol-minutia-speck (or googol-swarm-minutia, not to be confused with googolspeck-minutia), \(10^{-110}\)
 * googol-minutia-crumb or Googolcrowd-minutia, \(10^{-105}\)
 * googol-minutia-chunk or Googolbuch-minutia, \(10^{-101}\)
 * (31) googol-minutia, reciprocal of googol = \(10^{-100}\)

Numbers less than googol and some explanations
n-minutia means 'reciprocal of n', as a result:
 * googolchunk-minutia or Googol-minutia-bunch, \(10^{-99}\)
 * googolcrumb-minutia or Googol-minutia-crowd, \(10^{-95}\)
 * googolspeck-minutia or Googol-minutia-swarm, \(10^{-90}\)
 * Twerpuloid-minutia, 10^(-85)
 * (30) ogol-minutia, \(10^{-80}\)
 * Lightweight-minutia, 10^(-75)
 * shrimp-minutia, \(10^{-65}\)
 * (29) gogol-minutia, \(10^{-50}\)
 * (28) goby-minutia, \(10^{-35}\)
 * (27) minnow-minutia, \(10^{-25}\)
 * (26) guppy-minutia, \(10^{-20}\)
 * small fry-minutia, 10(-15)
 * Squeaker-minutia, 2*10^(-11)
 * One-speck, 10^(-10)
 * pipsqueak-minutia, 10-7

So, if we change base 10 into other bases, including binary, all the way up to hexadecimal, this can get up to a hundred possible names!

e.g. hexadecimal-pipsqueak-minutia, 16-7 ~10-8.428 ~ 0.000000003726

And now, we are moving on to the suffix explanation. In his website, he created 6 different suffixes, which are:
 * (n)-speck, which means (n) divided by 10 billion
 * (n)-crumb, which means (n) divided by 100,000
 * (n)-chunk, which means (n) divided by 10
 * (n)-bunch, (n) multiplied by 10 or (sometimes, (n)-ty)
 * (n)-crowd, (n) multiplied by 100,000
 * (n)-swarm, (n) multiplied by 10 billion

Also, he mentioned 16 of the base googolisms (including googol), such as (in ascending order):
 * (1) eyelash mite = Clover mite-chunk, 20,000 or 2E4, where mEn means m multiplied by 10^n
 * (2) dust mite, 50,000
 * (3) cheese mite, 80,000
 * (4) clover mite (or (41) eyelash mite bunch) = 200,000
 * (5) pipsqueak = crore
 * (6) little squeaker, 50,000,000,000
 * (7) small fry, \(10^{15}\) = Quadrillion
 * (8) guppy, \(10^{20}\)
 * (9) minnow, \(10^{25}\)
 * (10) goby, \(10^{35}\)
 * (11) gogol, \(10^{50}\), square root of Googol
 * (12) jumbo shrimp (or shrimp), \(10^{65}\)
 * (13) lightweight, \(10^{75}\) = quattuorvigintillion in short scale, duodecilliard in long scale
 * (14) ogol, \(10^{80}\)
 * (15) tiny twerpuloid, \(10^{85}\)
 * And finally, googol or (194) guppyding, 10100

So, if we combine base googolisms, we can get up to 112 possible names, not counting any other bases.

If we include other bases such as binary, ternary, base 4, base 5, base 6, base 7 all the way up to base 36 (35 bases total), then we have a whopping 3,920 possible names!!

Example: Hexadecimal-twerpuloid, \(16^{85} = 2^{340}\) 2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776

But wait!

He also extended eceton series into absurd heights! As a result, a total of 17 base googolisms, 119 possible names with -speck, -crumb, etc. and 4165 names rather than 3,920!!!

Example: vigesimal-eceton, \(20^{303}\) = 1.629*10^394, the full decimal expansion is: 16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

He also coined another suffix, that are based on bells, such as -ding, -chime, -bell, -toll, -gong, -bong, -throng, and -gandingan. And I will coin -ring.

In Hyper-E numbers article, he said:

5105010010001061091012

Another one is -ring, multiplied the base value by 500. Further, we could put gar at the front of any number, to multiply by 2.

We also can combine and modify other powers of 10 numbers including some -illion and -yllion to obtain more googolisms. e.g: million-gong, 10^(6*1000) = \(10^{6000}\)

Unfortunately, these modifiers have a more general and less formal definition that make the rules above sometimes don't work, example, grangol, E100#100, but grangolgong is E100,000#100,000 rather than E100000#100.

So, if we combine 4165 names, and adding 9 more, and we have 37,485 possible names (including names with same value) so far!

List of numbers with speck, crumb etc (base 10 only)

 * (22) Eyelash mite-speck, 20,000/10,000,000,000 = 0.000002
 * (23) Dust mite-speck, 50,000/10,000,000,000 = 5E(-6) = 0.000005
 * (24) Cheese mite-speck, 80,000/10,000,000,000 = 8E(-6) = 0.000008
 * (25) Clover mite-speck, 200,000/10,000,000,000 = 2E(-5) = 0.00002
 * (33) eyelash mite-crumb, 20,000/100,000 = 2E(-1) = 0.2 or 1/5
 * (34) dust mite-crumb, 50,000/100,000 = 5E(-1) = 0.5 or 1/2 (half of one)
 * (35) cheese mite-crumb, 80,000/100,000 = 8E(-1) = 0.8 = 4/5
 * (shown for comparison) One, 1
 * (36) 2|clover mite-crumb, 200,000/100,000 = 2E0 = 2
 * (shown for comparison) Ten, 10
 * (shown for comparison) One hundred, 100
 * (shown for comparison) Thousand, 1,000
 * (37) eyelash mite-chunk, 2,000
 * (38) Dust mite-chunk, 5,000
 * (39) cheese mite-chunk, 8,000
 * (40) clover mite-chunk = Eyelash mite
 * (41) eyelash mite-bunch = Clover mite
 * (42) dust mite-bunch = 50,000*10 = 5E5 = 500,000 (half a million)
 * (43) cheese mite-bunch = 80,000*10 = 8E5 = 800,000
 * (for comparison) Million, 1,000,000 or 106
 * (44) clover mite-bunch = 200,000*10 = 2E6 = 2,000,000
 * (45) eyelash mite-crowd = 20,000*100,000 = 2E9 = 2,000,000,000
 * (46) dust mite-crowd = 50,000*100,000 = 5E9 = 5,000,000,000 (half a Dialogue)
 * (47) cheese mite-crowd = 80,000*100,000 = 8E9 = 8,000,000,000
 * (91) guppyspeck, 1010 = 10,000,000,000
 * (48) clover mite-crowd = 200,000*100,000 = 2E10 = 20,000,000,000 (2 times dialogue)
 * (49) eyelash mite-swarm = 20,000*10,000,000,000 = 2E14 = 200,000,000,000,000
 * (50) dust mite-swarm = 50,000*10,000,000,000 = 5E14 = 500,000,000,000,000
 * (51) cheese mite-swarm = 80,000*10,000,000,000 = 8E14 = 800,000,000,000,000
 * (92) guppycrumb, 1015
 * (52) clover mite-swarm = 200,000*10,000,000,000 = 2E15 = 2,000,000,000,000,000
 * (93) Guppychunk, 1019
 * (94) minnowspeck = Quadrillion
 * (95) minnowcrumb = 1020
 * (96) minnowchunk = 1024
 * (97) gobyspeck = 1025
 * minnowbunch = 1026
 * (98) gobycrumb or minnowcrowd = 1030
 * (99) Gobychunk = 1034
 * Minnowswarm = Goby = 1035
 * (100) Gogolspeck = Zheng = 1040
 * (101) Gobycrumb = 1045
 * (102) Gogolchunk = 1049
 * Gogolbunch = Sexdecillion = 1051
 * lightweight-speck = gogolcrowd, 1055
 * lightweight-crumb = gogolswarm, 1060
 * lightweight-chunk, 1064
 * lightweight-bunch = Unvigintillion = 1066
 * lightweight-crowd = (103) Ogolspeck = 1070
 * lightweight-swarm = Quattuorvigintillion = (104) ogolcrumb 1075
 * (105) ogolchunk 1079
 * ogolbunch = Sexvigintillion, 1081
 * twerpuloid-chunk, 1084
 * ogolcrowd = Tiny twerpuloid, 1085
 * ogolswarm = googolspeck, 1090
 * Googolcrumb, 1095
 * Googolchunk, 1099
 * (for comparison) Googol = 10100
 * googolbunch, 10101
 * Googolcrowd, 10105
 * googolswarm, 10110

List of base modified numbers (in order)

 * (53) guppybit, \(2^{20} = 1,048,576\)
 * (55) minnowbit, \(2^{25} = 33,554,432\)
 * (57) gobybit = 2^35 = 34,359,738,368
 * (59) gogolbit or base-4-minnow = 4^25 = 2^50 = 1125899906842624
 * (54) guppybyte = \(8^{20} = 2^{60} = 1,152,921,504,606,846,976\)
 * (56) minnowbyte = 8^25 = 2^75 = 37778931862957161709568
 * (58) gobybyte = 8^35 = 2^105 = 40564819207303340847894502572032
 * hexadecimal-goby, \(16^{35} = 2^{140}\)
 * vigesimal-goby, \(20^{35}\) = 3435973836800000000000000000000000000000000000

List of numbers with -ding, -chime, etc. (in ascending order, including non-ExE numbers for comparison)
3435973836800000000000000000000000000000000000
 * binary-pipsqueak-ding or (57) gobybit, 2^35 = 34,359,738,368
 * (154) ternary-goby or ternary-pipsqueak-ding, 3^35 = 50,031,545,098,999,707
 * pipsqueak-ding, \(10^{35}\) = (10) goby
 * base-21-goby, \(21^{35}\) \(\approx 1.895 \times 10^{46}\)
 * dialogue-ding, \(10^{50}\) = (11) gogol
 * little squeaker-ding, 5*1050
 * base-36-goby, \(36^{35} \approx 2.955 \times 10^{54}\)
 * base-60-goby, \(60^{35} \approx 1.719 \times 10^{62}\)
 * (199) Binary-gogolding, \(2^{250}\)
 * small fry ding, \(10^{75}\) = (13) lightweight or Quattuorvigintillion in short scale
 * (194) guppyding = googol
 * ternary-gogolding, $$3^{250} \approx 1.906 \times 10^{119}$$
 * minnowding, \(10^{125}\)
 * small fry chime, E150 < 4^^3
 * base-4-gogolding, $$4^{250} = 2^{500} \approx 3.273 \times 10^{150}$$
 * base-5-gogolding, $$5^{250} \approx 5.527 \times 10^{174}$$
 * goby-ding, $$10^{175}$$
 * base-6-gogolding, $$6^{250} \approx 3.449 \times 10^{194}$$
 * (205) guppychime = gargoogol, \(10^{200}\)
 * base-7-gogolding, $$7^{250} \approx 1.881 \times 10^{211}$$
 * (shown for comparison) googoc, \(200^{100}\)
 * binary-ogolchime, \(2^{800} \approx 6.668 \times 10^{240}\) (an apocalyptic number)
 * (195) gogolding or minnowchime, \(10^{250}\)
 * eceton, \(10^{303}\)
 * gobychime, ogol-speck-ding, \(10^{350}\)
 * lightweight-ding, $$10^{375}$$ = Agrasara
 * (257) ogolding, \(10^{400}\) = myriad-toll = \(\text{googol}^{4}\)
 * twerpuloid-ding, \(10^{425}\)
 * (196) googolding or (208) gogolchime, \(10^{500}\)
 * base-36-goby-chime, \(36^{350} \approx 5.0801 \times 10^{544}\)
 * Shrimp-chime, \(10^{650}\)
 * Lightweight-chime, \(10^{750}\)
 * Binary-minnow-toll, $$2^{2500} \approx 3.758 \times 10^{752}$$
 * (258) Ogolchime, $$10^{800}$$
 * twerpuloid-chime, \(10^{850}\)
 * googolspeck-chime, $$10^{900}$$
 * Hexadecimal-lightweight-chime (or (210) octal-googolchime), \(16^{750} = 8^{1000} = 2^{3000}\)
 * googolcrumb-chime, $$10^{950}$$
 * (211) Googolchime or gargoogol-ding, $$10^{1000}$$
 * ternary-minnow-toll = Googgool
 * Ecetonding, \(10^{1515}\)
 * base-5-minnow-toll = $$5^{2500} \approx 2.66 \times 10^{1,747}$$
 * senary-minnow-toll, $$6^{2500} \approx 2.388 \times 10^{1,945}$$
 * base-7-minnow-toll, $$7^{2500} \approx 5.560 \times 10^{2,112}$$
 * octal-minnow-toll, $$8^{2500} = 2^{7500} \approx 5.308 \times 10^{2,257}$$
 * base-9-minnow-toll, $$9^{2500} = 3^{5000} \approx 4.039 \times 10^{2,385}$$
 * minnow-toll or (251) gogolbell, $$10^{2500}$$
 * (comparison) Millillion, \(10^{3,003}\)
 * Ecetonchime, \(10^{3,030}\)
 * gobytoll, \(10^{3,500}\)
 * (212) Googolbell or gar-minnow-toll, \(10^{5,000}\)
 * (260) Ogoltoll, \(10^{8,000}\)
 * (213) Googoltoll, \(10^{10000}\)
 * (247) Guppygong, \(10^{20000}\)
 * minnow-gong, \(10^{25,000}\)
 * googol-ring or (253) gogolgong, $$10^{50000}$$
 * (261) Ogolgong, \(10^{80,000}\)
 * (214) googolgong, \(10^{100,000}\) or \(10^{10^{5}}\)
 * (215)

List of numbers with -plex of multiple plexes etc.
Coming soon

Work in progress!

You may also check out this page as well.