Categories 21 - 28
Regiment blocks 32 - 39
Members: 1609 (286 original + 1323 new) [more than five times more]
Let's now cut to the chase and take these numbers to the limit! It should be clear that eventually the trail of proto-hyperions will stretch out, and can then be truncated by the use of a deutero-hyperion. Notice that the first 10 regiments: guppy, grangol, greagol, gigangol, gorgegol, gulgol, gaspgol, ginorgol, gargantuul, and googondol can be thought collectively as the first row, and the next 10 Regiments: gugold, graatagold, greegold, grinningold, golaagold, gruelohgold, gaspgold, ginorgold, gargantuuld, and googondold as the second row. We can continue in this manner creating a third row, fourth, fifth, etc. This forms the first "super regiment grid". Let's now finish the super regiment grid.
The remaining rows are here collected into a single super regiment called the gugolthra super regiment (originally called "gugolthra regiment" in Saibian's original website). There are 8 regiments: gugolthra regiment, gugoltesla regiment, gugolpeta regiment, gugolhexa regiment, gugolhepta regiment, gugolocta regiment, gugolenna regiment, and gugoldeka regiment.
Within each regiment are 10 sub-divisions, each potentially a "super regiment" in it's own right. Because of this we can consider the gugolthra regiment, as "gugolthra super regiment". A regiment of regiments!
Let's begin...
Category 21
Regiment block 32
Members: 500 [a lot more]
(3288 - 3787)
[FGH level ω2 => ω3]
Level 1 | Stage 3-3
Stage 3-3 ~ Next recursion level ~ breaking the golden googol series
In this regiment we divide it into ten squads: gugolthra, graatagolthra, greegolthra, grinningolthra, golaagolthra, gruelohgolthra, gaspgolthra, ginorgolthra, gargantuulthra, and googondolthra squads (Saibian originally called "squadrons").
[FGH level ω2 => ω2+1]
First we introduce the gugolthra...
(3288) gugolthra ☆★✪ = E100##100##100
= E100##100#100#100#100# ... ... ... ... ... #100#100#100#100
(w/ 100 100's after ##)
*alternatively (3289) gugonthra, formerly goolthra. Comparable to Bowers' biggol
We have run out of suffixes after sudecex, or even higher su-x-exes. So we begin again with a new suffix: plexitris, which allows us to form:
(3290) gugolthra-plexitris ☆ = E100##100##100#2
Alternatively, we can also have "grand" operator version of the same value, in a nonstandard way:
(3291) grand gugolthra = E100##100##100#2
Moving on...
(3292) gugolthra-duplexitris = E100##100##100#3
*alternatively (3293) grand grand gugolthra
(3294) gugolthra-triplexitris = E100##100##100#4
*alternatively (3295) grand grand grand gugolthra
(3296) gugolthra-quadriplexitris = E100##100##100#5
*alternatively (3297) grand grand grand grand gugolthra
(3298) gugolthra-quintiplexitris = E100##100##100#6
*alternatively (3299) five-ex-grand gugolthra
(3300) gugolthra-sextiplexitris = E100##100##100#7
*alternatively (3301) six-ex-grand gugolthra
(3302) gugolthra-septiplexitris = E100##100##100#8
*alternatively (3303) seven-ex-grand gugolthra
(3304) gugolthra-octiplexitris = E100##100##100#9
*alternatively (3305) eight-ex-grand gugolthra
(3306) gugolthra-noniplexitris = E100##100##100#10
*alternatively (3307) nine-ex-grand gugolthra
(3308) gugolthra-deciplexitris = E100##100##100#11
*alternatively (3309) ten-ex-grand gugolthra
...
(3310) gugolthra-vigintiplexitris = E100##100##100#21
*alternatively (3311) twenty-ex-grand gugolthra
(3312) gugolthra-centiplexitris = E100##100##100#101
*alternatively (3313) hundred-ex-grand gugolthra
(3314) gugolthra-milliplexitris = E100##100##100#1001
*alternatively (3315) thousand-ex-grand gugolthra
(3316) gugolthra-milli-milliplexitria = E100##100##100#1,000,001
*alternatively (3317) million-ex-grand gugolthra
...
(3318) googol-ex-grand gugolthra = E100##100##100#(E100+1)
(3319) grangol-ex-grand gugolthra = E100##100##100#(E100#100+1)
(3320) greagol-ex-grand gugolthra = E100##100##100#(E100#100#100+1)
(3321) gigangol-ex-grand gugolthra = E100##100##100#(E100#100#100#100+1)
(3322) gugold-ex-grand gugolthra = E100##100##100#(E100##100+1)
(3323) graatagold-ex-grand gugolthra = E100##100##100#(E100##100#100+1)
(3324) gugolthra-ex-grand gugolthra = E100##100##100#(E100##100##100+1)
...
(3325) gugolthra-ex-grand gugolthra-ex-grand gugolthra = E100##100##100#(E100##100##100#(E100##100##100+1)+1)
But why I am not done yet. I will fill up missing regimental googolisms with additive argument modifiers (-speck, -crumb, -chunk, -bunch, -crowd, and -swarm) as follows:
(3326) gugoldaspeck = E90##90
(3327) gugoldacrumb = E95##95
(3328) gugoldachunk = E99##99
(3329) gugoldabunch = E101##101
(3330) gugoldacrowd = E105##105
(3331) gugoldaswarm = E110##110
...
(3332) graatagoldaspeck = E90##90#90
(3333) graatagoldacrumb = E95##95#95
(3334) graatagoldachunk = E99##99#99
(3335) graatagoldabunch = E101##101#101
(3336) graatagoldacrowd = E105##105#105
(3337) graatagoldaswarm = E110##110#110
...
(3338) greegoldaspeck = E90##90#90#90
(3339) greegoldacrumb = E95##95#95#95
(3340) greegoldachunk = E99##99#99#99
(3341) greegoldabunch = E101##101#101#101
(3342) greegoldacrowd = E105##105#105#105
(3343) greegoldaswarm = E110##110#110#110
...
(3344) grinningoldaspeck = E90##90#90#90#90
(3345) grinningoldacrumb = E95##95#95#95#95
(3346) grinningoldachunk = E99##99#99#99#99
(3347) grinningoldabunch = E101##101#101#101#101
(3348) grinningoldacrowd = E105##105#105#105#105
(3349) grinningoldaswarm = E110##110#110#110#110
...
(3350) golaagoldaspeck = E90##90#90#90#90#90
(3351) golaagoldacrumb = E95##95#95#95#95#95
(3352) golaagoldachunk = E99##99#99#99#99#99
(3353) golaagoldabunch = E101##101#101#101#101#101
(3354) golaagoldacrowd = E105##105#105#105#105#105
(3355) golaagoldaswarm = E110##110#110#110#110#110
...
(3356) gruelohgoldaspeck = E90##90#90#90#90#90#90
(3357) gruelohgoldacrumb = E95##95#95#95#95#95#95
(3358) gruelohgoldachunk = E99##99#99#99#99#99#99
(3359) gruelohgoldabunch = E101##101#101#101#101#101#101
(3360) gruelohgoldacrowd = E105##105#105#105#105#105#105
(3361) gruelohgoldaswarm = E110##110#110#110#110#110#110
...
(3362) gaspgoldaspeck = E90##90#90#90#90#90#90#90
(3363) gaspgoldacrumb = E95##95#95#95#95#95#95#95
(3364) gaspgoldachunk = E99##99#99#99#99#99#99#99
(3365) gaspgoldabunch = E101##101#101#101#101#101#101#101
(3366) gaspgoldacrowd = E105##105#105#105#105#105#105#105
(3367) gaspgoldaswarm = E110##110#110#110#110#110#110#110
...
(3368) ginorgoldaspeck = E90##90#90#90#90#90#90#90#90
(3369) ginorgoldacrumb = E95##95#95#95#95#95#95#95#95
(3370) ginorgoldachunk = E99##99#99#99#99#99#99#99#99
(3371) ginorgoldabunch = E101##101#101#101#101#101#101#101#101
(3372) ginorgoldacrowd = E105##105#105#105#105#105#105#105#105
(3373) ginorgoldaswarm = E110##110#110#110#110#110#110#110#110
...
(3374) gargantuuldaspeck = E90##90##9
(3375) gargantuuldacrumb = E95##95##9
(3376) gargantuuldachunk = E99##99##9
(3377) gargantuuldabunch = E101##101##9
(3378) gargantuuldacrowd = E105##105##9
(3379) gargantuuldaswarm = E110##110##9
...
(3380) googondoldaspeck = E90##90##10
(3381) googondoldacrumb = E95##95##10
(3382) googondoldachunk = E99##99##10
(3383) googondoldabunch = E101##101##10
(3384) googondoldacrowd = E105##105##10
(3385) googondoldaswarm = E110##110##10
...
(3386) gugolthraspeck = E90##90##90
(3387) gugolthracrumb = E95##95##95
(3388) gugolthrachunk = E99##99##99
(3389) gugolthrabunch = E101##101##101
(3390) gugolthracrowd = E105##105##105
(3391) gugolthraswarm = E110##110##110
With more "great" operators...
(3392) great great gugold = E100##100##1#3 = E100##100##(E100##100#1#2)
(3393) great great graatagold = E100##100##2#3
(3394) great great greegold = E100##100##3#3
(3395) great great grinningold = E100##100##4#3
(3396) great great golaagold = E100##100##5#3
(3397) great great gruelohgold = E100##100##6#3
(3398) great great gaspgold = E100##100##7#3
(3399) great great ginorgold = E100##100##8#3
(3400) great great gargantuuld = E100##100##9#3
(3401) great great googondold = E100##100##10#3
We can also have some funny n-ary numbers like:
(3402) gugolthrabit = E[2]100##100##100
*alternatively (3403) binary-gugolthra
(3404) ternary-gugolthra = E[3]100##100##100
(3405) quaternary-gugolthra = E[4]100##100##100
(3406) quinary-gugolthra = E[5]100##100##100
(3407) senary-gugolthra = E[6]100##100##100
(3408) gugolthrabyte = E[8]100##100##100
*alternatively (3409) octal-gugolthra
(3410) duodecimal-gugolthra = E[12]100##100##100
(3411) hexadecimal-gugolthra = E[16]100##100##100
(3412) vigesimal-gugolthra = E[20]100##100##100
(3413) sexagesimal-gugolthra = E[60]100##100##100
We can also use multiplicative argument modifiers as well (Saibian concluded that he wouldn't define -gong numbers anymore, but will return at godgahlah. However, I am going to coin such missing numbers using every existing multiplicative argument modifier roots (-ding, -chime, -bell, -toll, -gong, -bong, -throng, and -gandingan)).
(3414) gugolthrading = E500##500##500
(3415) gugolthra-plexitrisiding = E500##500##500#2
(3416) gugolthra-duplexitrisiding = E500##500##500#3
...
(3417) gugolthrachime = E1000##1000##1000
(3418) gugolthra-plexitrisichime = E1000##1000##1000#2
(3419) gugolthra-duplexitrisichime = E1000##1000##1000#3
(3420) gugolthra-triplexitrisichime = E1000##1000##1000#4
(3421) gugolthra-quadriplexitrisichime = E1000##1000##1000#5
(3422) gugolthra-quintiplexitrisichime = E1000##1000##1000#6
...
(3423) gugolthrabell = E5000##5000##5000
(3424) gugolthra-plexitrisibell = E5000##5000##5000#2
(3425) gugolthra-duplexitrisibell = E5000##5000##5000#3
...
(3426) gugolthratoll = E10,000##10,000##10,000
(3427) gugolthra-plexitrisitoll = E10,000##10,000##10,000#2
(3428) gugolthra-duplexitrisitoll = E10,000##10,000##10,000#3
(3429) gugolthra-triplexitrisitoll = E10,000##10,000##10,000#4
(3430) gugolthra-quadriplexitrisitoll = E10,000##10,000##10,000#5
(3431) gugolthra-quintiplexitrisitoll = E10,000##10,000##10,000#6
...
(3432) gugolthragong = E100,000##100,000##100,000
(3433) gugolthra-plexitrisigong = E100,000##100,000##100,000#2
(3434) gugolthra-duplexitrisigong = E100,000##100,000##100,000#3
(3435) gugolthra-triplexitrisigong = E100,000##100,000##100,000#4
(3436) gugolthra-quadriplexitrisigong = E100,000##100,000##100,000#5
(3437) gugolthra-quintiplexitrisigong = E100,000##100,000##100,000#6
(3438) gugolthra-sextiplexitrisigong = E100,000##100,000##100,000#7
(3439) gugolthra-septiplexitrisigong = E100,000##100,000##100,000#8
(3440) gugolthra-octiplexitrisigong = E100,000##100,000##100,000#9
(3441) gugolthra-noniplexitrisigong = E100,000##100,000##100,000#10
(3442) gugolthra-deciplexitrisigong = E100,000##100,000##100,000#11
...
(3443) gugolthrabong = E100,000,000##100,000,000##100,000,000
(3444) gugolthra-plexitrisibong = E100,000,000##100,000,000##100,000,000#2
(3445) gugolthra-duplexitrisibong = E100,000,000##100,000,000##100,000,000#3
(3446) gugolthra-triplexitrisibong = E100,000,000##100,000,000##100,000,000#4
...
(3447) gugolthrathrong = E100,000,000,000##100,000,000,000##100,000,000,000
(3448) gugolthra-plexitrisithrong = E100,000,000,000##100,000,000,000##100,000,000,000#2
(3449) gugolthra-duplexitrisithrong = E100,000,000,000##100,000,000,000##100,000,000,000#3
(3450) gugolthra-triplexitrisithrong = E100,000,000,000##100,000,000,000##100,000,000,000#4
...
(3451) gugolthragandingan = E100,000,000,000,000##100,000,000,000,000##100,000,000,000,000
(3452) gugolthra-plexitrisigandingan = E100,000,000,000,000##100,000,000,000,000##100,000,000,000,000#2
(3453) gugolthra-duplexitrisigandingan = E100,000,000,000,000##100,000,000,000,000##100,000,000,000,000#3
...
We can also introduce -plexitris suffix in-between:
(3454) googolplexitris = E100##100##(E100)
On the other hand, E100##1##1#2 = E100##1##(E100) = E100##1#1#1#...#1#1#1 (w/ googol 1's) = E100 = 10^100 = googol.
(3455) grangolplexitris = E100##100##(E100#100)
(3456) greagolplexitris = E100##100##(E100#100#100)
(3457) gigangolplexitris = E100##100##(E100#100#100#100)
(3458) gorgegolplexitris = E100##100##(E100#100#100#100#100)
(3459) gulgolplexitris = E100##100##(E100#100#100#100#100#100)
(3460) gaspgolplexitris = E100##100##(E100#100#100#100#100#100#100)
(3461) ginorgolplexitris = E100##100##(E100#100#100#100#100#100#100#100)
(3462) gargantuulplexitris = E100##100##(E100##9)
(3463) googondolplexitris = E100##100##(E100##10)
...
(3464) gugolda-plexitris = E100##100##1#2 = E100##100##(E100##100)
(3465) graatagolda-plexitris = E100##100##2#2
(3466) greegolda-plexitris = E100##100##3#2
(3467) grinningolda-plexitris = E100##100##4#2
(3468) golaagolda-plexitris = E100##100##5#2
(3469) gruelohgolda-plexitris = E100##100##6#2
(3470) gaspgolda-plexitris = E100##100##7#2
(3471) ginorgolda-plexitris = E100##100##8#2
(3472) gargantuulda-plexitris = E100##100##9#2
(3473) googondolda-plexitris = E100##100##10#2
...
(3474) googolduplexitris = E100##100##(E100)#2
(3475) grangolduplexitris = E100##100##(E100#100)#2
(3476) greagolduplexitris = E100##100##(E100#100#100)#2
(3477) gigangolduplexitris = E100##100##(E100#100#100#100)#2
(3478) gorgegolduplexitris = E100##100##(E100##5)#2
(3479) gulgolduplexitris = E100##100##(E100##6)#2
(3480) gaspgolduplexitris = E100##100##(E100##7)#2
(3481) ginorgolduplexitris = E100##100##(E100##8)#2
(3482) gargantuulduplexitris = E100##100##(E100##9)#2
(3483) googondolduplexitris = E100##100##(E100##10)#2
...
(3484) gugolda-duplexitris = E100##100##1#3 = E100##100##(E100##100##1#2)
(3485) graatagolda-duplexitris = E100##100##2#3
(3486) greegolda-duplexitris = E100##100##3#3
(3487) grinningolda-duplexitris = E100##100##4#3
(3488) golaagolda-duplexitris = E100##100##5#3
(3489) gruelohgolda-duplexitris = E100##100##6#3
(3490) gaspgolda-duplexitris = E100##100##7#3
(3491) ginorgolda-duplexitris = E100##100##8#3
(3492) gargantuulda-duplexitris = E100##100##9#3
(3493) googondolda-duplexitris = E100##100##10#3
...
(3494) googoltriplexitris = E100##100##(E100)#3
(3495) grangoltriplexitris = E100##100##(E100#100)#3
(3496) greagoltriplexitris = E100##100##(E100#100#100)#3
(3497) gigangoltriplexitris = E100##100##(E100#100#100#100)#3
...
(3498) gugolda-triplexitris = E100##100##1#4
(3499) graatagolda-triplexitris = E100##100##2#4
(3500) greegolda-triplexitris = E100##100##3#4
(3501) grinningolda-triplexitris = E100##100##4#4
...
Now it's the time to introduce centillion extensions!
(3502) eceto-gugolthra = E303##303##303
(3503) ecetonplexitris = E303##303##(E303) = E303##303#centillion
(3504) eceto-gugolda-plexitris = E303##303##1#2 = E303##303##(E303##303)
(3505) eceto-graatagolda-plexitris = E303##303##2#2
(3506) eceto-greegolda-plexitris = E303##303##3#2
(3507) eceto-gugolthra-plexitris = E303##303##303#2
(3508) eceto-gugolthra-duplexitris = E303##303##303#3
(3509) eceto-gugolthra-triplexitris = E303##303##303#4
And finally, you can create a unique series of the googon-x-old series as follows:
(3510) googon-googolold = E100##100##(E100)
(3511) googon-googolplexold = E100##100##(EE100)
(3512) googon-grangolold = E100##100##(E100#100)
(3513) googon-greagolold = E100##100##(E100#100#100)
(3514) googon-gigangolold = E100##100##(E100#100#100#100)
(3515) googon-gorgegolold = E100##100##(E100#100#100#100#100)
(3516) googon-gulgolold = E100##100##(E100#100#100#100#100#100)
(3517) googon-gaspgolold = E100##100##(E100#100#100#100#100#100#100)
(3518) googon-ginorgolold = E100##100##(E100#100#100#100#100#100#100#100)
(3519) googon-gargantuulold = E100##100##(E100##9)
(3520) googon-googondolold = E100##100##(E100##10)
...
(3521) googon-gugolold = E100##100##(E100##100)
(3522) googon-graatagoldold = E100##100##(E100##100#100)
(3523) googon-greegoldold = E100##100##(E100##100#100#100)
(3524) googon-grinningoldold = E100##100##(E100##100#100#100#100)
(3525) googon-golaagoldold = E100##100##(E100##100##5)
(3526) googon-gruelohgoldold = E100##100##(E100##100##6)
(3527) googon-gaspgoldold = E100##100##(E100##100##7)
(3528) googon-ginorgoldold = E100##100##(E100##100##8)
(3529) googon-gargantuuldold = E100##100##(E100##100##9)
(3530) googon-googondoldold = E100##100##(E100##100##10)
...
(3531) googon-gugolthrold = E100##100##(E100##100##100) = E100##100##100#2
(3532) googon-gugolthra-plexitrisold = E100##100##(E100##100##100#2)
(3533) googon-gugolthra-duplexitrisold = E100##100##(E100##100##100#3)
...
(3534) googon-googon-googondoldoldold = E100##100##100#3
...
But why I am not done yet. With this regiment we can create all 10 squads for the gugolthra regiment.
[FGH level ω2+1 => ω2+2]
Now, we reached the new level of the recursion! Let's define "graatagolthra" (from "graatagold" (meaning 2 arguments in the proto-hyperion sequence) + "-thra" (meaning 3 arguments separated by deutero-hyperions (##))).
(3535) graatagolthra ☆★ = E100##100##100#100 = E100##100##100##2
= E100##100##(E100##100##(... E100##100##(E100##100##100) ...))
w/ 100 "E100##100##"'s
*alternatively (3536) graatagonthra, formerly graatathra
Please note that Saibian concluded that he will not use #100 and instead use ##2, as graatagold = E100##100##2 = E100##100#100. However, I am not going to do this like Saibian by writting only one expression, and instead write both.
We can have "-dexitris", which based on "-tris" after gugolthra and "-dex" after grangol.
(3537) graatagolthra-dexitris = E100##100##100#100#2
*alternatively (3538) grand graatagolthra
(3539) graatagolthra-dudexitris = E100##100##100#100#3
*alternatively (3540) grand grand graatagolthra
(3541) graatagolthra-tridexitris = E100##100##100#100#4
(3542) graatagolthra-quadridexitris = E100##100##100#100#5
(3543) graatagolthra-quintidexitris = E100##100##100#100#6
(3544) graatagolthra-sextidexitris = E100##100##100#100#7
(3545) graatagolthra-septidexitris = E100##100##100#100#8
(3546) graatagolthra-octidexitris = E100##100##100#100#9
(3547) graatagolthra-nonidexitris = E100##100##100#100#10
(3548) graatagolthra-decidexitris = E100##100##100#100#11
...
(3549) graatagolthra-vigintidexitris = E100##100##100#100#21
(3550) graatagolthra-centidexitris = E100##100##100#100#101
(3551) graatagolthra-millidexitris = E100##100##100#100#1001
(3552) graatagolthra-milli-millidexitris = E100##100##100#100#1,000,001
The ordinal level of "graatagolthra" corresponds to the explodal level in BEAF ({a, b, 1, 3}), or ω2+1 in the fast-growing hierarchy, as E100##100##a => ω2 and E100##100##100##a = ω2+(a-1), for a ≥ 1.
Again, I am not done with this squad yet. Miserly, Saibian didn't even coin some in-between googolisms further, and instead immediately continue to greegolthra. Let's see that I am going to coin googolisms based on "graatagolthra" and argument modifiers.
(3553) graatagolthrading = E500##500##500#500
...
(3554) graatagolthrachime = E1000##1000##1000#1000
(3555) graatagolthra-dexitrisichime = E1000##1000##1000#1000#2
(3556) graatagolthra-dudexitrisichime = E1000##1000##1000#1000#3
...
(3557) graatagolthrabell = E5000##5000##5000#5000
...
(3558) graatagolthratoll = E10,000##10,000##10,000#10,000
(3559) graatagolthra-dexitrisitoll = E10,000##10,000##10,000#10,000#2
(3560) graatagolthra-dudexitrisitoll = E10,000##10,000##10,000#10,000#3
...
(3561) graatagolthragong = E100,000##100,000##100,000#100,000
(3562) graatagolthra-dexitrisigong = E100,000##100,000##100,000#100,000#2
(3563) graatagolthra-dudexitrisigong = E100,000##100,000##100,000#100,000#3
(3564) graatagolthra-tridexitrisigong = E100,000##100,000##100,000#100,000#4
...
(3565) graatagolthrabong = E100,000,000##100,000,000##100,000,000#100,000,000
(3566) graatagolthra-dexitrisibong = E100,000,000##100,000,000##100,000,000#100,000,000#2
...
(3567) graatagolthrathrong = E100,000,000,000##100,000,000,000##100,000,000,000#100,000,000,000
(3568) graatagolthra-dexitrisithrong = E100,000,000,000##100,000,000,000##100,000,000,000#100,000,000,000#2
...
(3569) graatagolthragandingan = E100,000,000,000,000##100,000,000,000,000##100,000,000,000,000#100,000,000,000,000
Where is -speck, -crumb, -chunk, -bunch, -crowd, -swarm?
(3570) graatagolthraspeck = E90##90##90#90
(3571) graatagolthracrumb = E95##95##95#95
(3572) graatagolthrachunk = E99##99##99#99
(3573) graatagolthrabunch = E101##101##101#101
(3574) graatagolthracrowd = E105##105##105#105
(3575) graatagolthraswarm = E110##110##110#110
With in-between googolisms...
(3576) googoldexitris = E100##100##1#(E100)
(3577) grangoldexitris = E100##100##1#(E100#100)
(3578) greagoldexitris = E100##100##1#(E100#100#100)
(3579) gigangoldexitris = E100##100##1#(E100#100#100#100)
...
(3580) gugolda-dexitris = E100##100##1#1#2 = E100##100##1#(E100##100)
And the second one...
(3581) second gugolda-dexitris = E100##100##100#(E100##100)
Continuing further...
(3582) graatagolda-dexitris = E100##100##2#1#2
(3583) greegolda-dexitris = E100##100##3#1#2
(3584) grinningolda-dexitris = E100##100##4#1#2
...
(3585) gugolthra-dexitris = E100##100##100#1#2
(3586) gugolda-plexitrisi-dexitris = E100##100##1#2#2
(3587) graatagolda-plexitrisi-dexitris = E100##100##2#2#2
...
(3588) gugolthra-plexitrisi-dexitris = E100##100##100#2#2
(3589) gugolthra-duplexitrisi-dexitris = E100##100##100#3#2
(3590) gugolthra-triplexitrisi-dexitris = E100##100##100#4#2
...
(3591) googoldudexitris = E100##100##1#(E100)#2
(3592) grangoldudexitris = E100##100##1#(E100#100)#2
(3593) gugolda-dudexitris = E100##100##1#1#3
(3594) graatagolda-dudexitris = E100##100##2#1#3
(3595) gugolthra-dudexitris = E100##100##100#1#3
(3596) gugolthra-plexitrisi-dudexitris = E100##100##100#2#3
(3597) gugolthra-duplexitrisi-dudexitris = E100##100##100#3#3
...
(3598) gugolda-tridexitris = E100##100##1#1#4
(3599) gugolthra-tridexitris = E100##100##100#1#4
...
With eceton extension...
(3600) eceto-graatagolthra = E303##303##303#303
(3601) eceto-gugolda-dexitris = E303##303##1#1#2
(3602) eceto-graatagolthra-dexitris = E303##303##303#303#2
(3603) eceto-gugolda-dudexitris = E303##303##1#1#3
(3604) eceto-graatagolthra-dudexitris = E303##303##303#303#3
We finished off the graatagolthra squad, let's continue to the greegolthra squad!
[FGH level ω2+2 => ω2+3]
Next, "greegolthra" (from "greegold" (meaning 3 arguments in the proto-hyperion sequence) + "-thra" (meaning 3 arguments separated by deutero-hyperions (##))).
(3605) greegolthra ☆★ = E100##100##100#100#100 = E100##100##100##3
*alternatively (3606) greegonthra, formerly greethra
Similar to the "graatagolthra" case, Saibian also concluded that he will not use copies of #100 and instead use ##3. However, I am going to use both.
Here is the -threxitris extensions of greegolthra:
(3607) greegolthra-threxitris = E100##100##100#100#100#2
(3608) greegolthra-duthrexitris = E100##100##100#100#100#3
(3609) greegolthra-trithrexitris = E100##100##100#100#100#4
(3610) greegolthra-quadrithrexitris = E100##100##100#100#100#5
(3611) greegolthra-quintithrexitris = E100##100##100#100#100#6
...
(3612) greegolthra-decithrexitris = E100##100##100#100#100#11
(3613) greegolthra-centithrexitris = E100##100##100#100#100#101
(3614) greegolthra-millithrexitris = E100##100##100#100#100#1001
I am still not done yet. We can also have -ding, -chime, -bell, -toll, -gong, -bong, -throng, and -gandingan argument modifiers:
(3615) greegolthrading = E500##500##500#500#500
...
(3616) greegolthrachime = E1000##1000##1000#1000#1000
(3617) greegolthra-threxitrisichime = E1000##1000##1000#1000#1000#2
...
(3618) greegolthrabell = E5000##5000##5000#5000#5000
...
(3619) greegolthratoll = E10,000##10,000##10,000#10,000#10,000
(3620) greegolthra-threxitrisitoll = E10,000##10,000##10,000#10,000#10,000#2
...
(3621) greegolthragong = E100,000##100,000##100,000#100,000#100,000
(3622) greegolthra-threxitrisigong = E100,000##100,000##100,000#100,000#100,000#2
(3623) greegolthra-duthrexitrisigong = E100,000##100,000##100,000#100,000#100,000#2
...
(3624) greegolthrabong = E100,000,000##100,000,000##100,000,000#100,000,000#100,000,000
...
(3625) greegolthrathrong = E100,000,000,000##100,000,000,000##100,000,000,000#100,000,000,000#100,000,000,000
...
(3626) greegolthragandingan =
E100,000,000,000,000##100,000,000,000,000##100,000,000,000,000#100,000,000,000,000#100,000,000,000,000
...
With in-between -threxitris extensions:
(3627) googolthrexitris = E100##100##1#1#(E100)
(3628) grangolthrexitris = E100##100##1#1#(E100#100)
(3629) greagolthrexitris = E100##100##1#1#(E100#100#100)
(3630) gugolda-threxitris = E100##100##1#1#1#2
(3631) graatagolda-threxitris = E100##100##2#1#1#2
(3632) gugolthra-threxitris = E100##100##100#1#1#2
(3633) graatagolthra-threxitris = E100##100##100#100#1#2
(3634) graatagolthra-dexitrisi-threxitris = E100##100##100#100#2#2
...
(3635) gugolda-duthrexitris = E100##100##1#1#1#3
(3636) gugolthraa-duthrexitris = E100##100##100#1#1#3
(3637) graatagolthra-duthrexitris = E100##100##100#100#1#3
...
And finally, the centillion extension!
(3638) eceto-greegolthra = E303##303##303#303#303
(3639) eceto-gugolda-threxitris = E303##303##1#1#1#2
(3640) eceto-greegolthra-threxitris = E303##303##303#303#303#2
(3641) eceto-greegolthra-duthrexitris = E303##303##303#303#303#3
Moving on the grinningolthra squad...
[FGH level ω2+3 => ω2+4]
After greegolthra, we can construct grinningolthra:
(3642) grinningolthra ☆ = E100##100##100#100#100#100 = E100##100##100##4
*alternatively (3643) grinningonthra, formerly grinninthra
Here, we introduce -tetrexitris:
(3645) grinningolthra-tetrexitris = E100##100##100#100#100#100#2
(3646) grinningolthra-dutetrexitris = E100##100##100#100#100#100#3
(3647) grinningolthra-tritetrexitris = E100##100##100#100#100#100#4
(3648) grinningolthra-quadritetrexitris = E100##100##100#100#100#100#5
(3649) grinningolthra-quintitetrexitris = E100##100##100#100#100#100#6
...
(3650) grinningolthrading = E500##500##500##4
...
(3651) grinningolthrachime = E1000##1000##1000#1000#1000#1000
(3652) grinningolthra-tetrexitrisichime = E1000##1000##1000#1000#1000#1000#2
...
(3653) grinningolthrabell = E5000##5000##5000##4
...
(3654) grinningolthratoll = E10,000##10,000##10,000#10,000#10,000#10,000
(3655) grinningolthra-tetrexitrisitoll = E10,000##10,000##10,000#10,000#10,000#10,000#2
...
(3656) grinningolthragong = E100,000##100,000##100,000#100,000#100,000#100,000
(3657) grinningolthra-tetrexitrisigong = E100,000##100,000##100,000#100,000#100,000#100,000#2
(3658) grinningolthra-dutetrexitrisigong = E100,000##100,000##100,000#100,000#100,000#100,000#3
...
(3659) grinningolthrabong = E100,000,000##100,000,000##100,000,000##4
(3660) grinningolthrathrong = E100,000,000,000##100,000,000,000##100,000,000,000##4
(3661) grinningolthragandingan = E100,000,000,000,000##100,000,000,000,000##100,000,000,000,000##4
...
In-betweens...
(3662) gugolda-tetrexitris = E100##100##1#1#1#1#2
(3663) gugolthra-tetrexitris = E100##100##100#1#1#1#2
(3664) graatagolthra-tetrexitris = E100##100##100#100#1#1#2
(3665) greegolthra-tetrexitris = E100##100##100#100#100#1#2
...
And finally...
(3666) eceto-grinningolthra = E303##303##303#303#303#303
(3667) eceto-grinningolthra-tetrexitris = E303##303##303#303#303#303#2
[FGH level ω2+4 => ω2+5]
Next, golaagolthra:
(3668) golaagolthra = E100##100##100#100#100#100#100 = E100##100##100##5
*alternatively (3669) golaagonthra, formerly golaathra
Here, we introduce -pentexitris:
(3670) golaagolthra-pentexitris = E100##100##100#100#100#100#100#2
(3671) golaagolthra-dupentexitris = E100##100##100#100#100#100#100#3
(3672) golaagolthra-tripentexitris = E100##100##100#100#100#100#100#4
(3673) golaagolthra-quadripentexitris = E100##100##100#100#100#100#100#5
...
(3674) golaagolthrading = E500##500##500##5
...
(3675) golaagolthrachime = E1000##1000##1000##5
...
(3676) golaagolthrabell = E5000##5000##5000##5
...
(3677) golaagolthratoll = E10,000##10,000##10,000##5
...
(3678) golaagolthragong
= E100,000##100,000##100,000##5 = E100,000##100,000##100,000#100,000#100,000#100,000#100,000
(3679) golaagolthra-pentexitrisigong
= E100,000##100,000##(100,000##5)#2 = E100,000##100,000##100,000#100,000#100,000#100,000#100,000#2
(3680) golaagolthra-dupentexitrisigong
= E100,000##100,000##(100,000##5)#3 = E100,000##100,000##100,000#100,000#100,000#100,000#100,000#3
...
(3681) golaagolthrabong = E100,000,000##100,000,000##100,000,000##5
(3682) golaagolthrathrong = E100,000,000,000##100,000,000,000##100,000,000,000##5
(3683) golaagolthragandingan = E100,000,000,000,000##100,000,000,000,000##100,000,000,000,000##5
...
(3684) eceto-golaagolthra = E303##303##303#303#303#303#303
[FGH level ω2+5 => ω2+6]
Then gruelohgolthra
(3685) gruelohgolthra = E100##100##100#100#100#100#100#100 = E100##100##100##6
*alternatively (3686) gruelohgonthra, formerly gruelohthra
(3687) gruelohgolthra-hexitris = E100##100##100#100#100#100#100#100#2
(3688) gruelohgolthra-duhexitris = E100##100##100#100#100#100#100#100#3
(3689) gruelohgolthra-trihexitris = E100##100##100#100#100#100#100#100#4
...
(3690) gruelohgolthrading = E500##500##500##6
(3691) gruelohgolthrachime = E1000##1000##1000##6
(3692) gruelohgolthrabell = E5000##5000##5000##6
(3693) gruelohgolthratoll = E10,000##10,000##10,000##6
...
(3694) gruelohgolthragong = E100,000##100,000##100,000##6
(3695) gruelohgolthra-hexitrisigong = E100,000##100,000##(100,000##6)#2
(3696) gruelohgolthra-duhexitrisigong = E100,000##100,000##(100,000##6)#3
...
(3697) gruelohgolthrabong = E100,000,000##100,000,000##100,000,000##6
(3698) gruelohgolthrathrong = E100,000,000,000##100,000,000,000##100,000,000,000##6
(3699) gruelohgolthragandingan = E100,000,000,000,000##100,000,000,000,000##100,000,000,000,000##6
...
(3700) eceto-gruelohgolthra = E303##303##303#303#303#303#303#303
[FGH level ω2+6 => ω2+7]
Why Saibian stopped at gruelohgolthra in the far past... Let's define gaspgolthra!
(3701) gaspgolthra = E100##100##100#100#100#100#100#100#100 = E100##100##100##7
*alternatively (3702) gaspgonthra
(3703) gaspgolthra-heptexitris = E100##100##100#100#100#100#100#100#100#2
(3704) gaspgolthra-duheptexitris = E100##100##100#100#100#100#100#100#100#3
(3705) gaspgolthra-triheptexitris = E100##100##100#100#100#100#100#100#100#4
...
(3706) gaspgolthrachime = E1000##1000##1000##7
(3707) gaspgolthratoll = E10,000##10,000##10,000##7
(3708) gaspgolthragong = E100,000##100,000##100,000##7
(3709) gaspgolthra-heptexitrisigong = E100,000##100,000##(100,000##7)#2
(3710) gaspgolthrabong = E100,000,000##100,000,000##100,000,000##7
(3711) gaspgolthrathrong = E100,000,000,000##100,000,000,000##100,000,000,000##7
...
(3712) eceto-gaspgolthra = E303##303##303##7
[FGH level ω2+7 => ω2+8]
Moving on ginorgolthra...
(3713) ginorgolthra = E100##100##100#100#100#100#100#100#100#100 = E100##100##100##8
*alternatively (3714) ginorgonthra
(3715) ginorgolthra-octexitris = E100##100##100#100#100#100#100#100#100#100#2
(3716) ginorgolthra-duoctexitris = E100##100##100#100#100#100#100#100#100#100#3
(3717) ginorgolthra-trioctexitris = E100##100##100#100#100#100#100#100#100#100#4
...
(3718) ginorgolthrachime = E1000##1000##1000##8
(3719) ginorgolthratoll = E10,000##10,000##10,000##8
(3720) ginorgolthragong = E100,000##100,000##100,000##8
(3721) ginorgolthra-octexitrisigong = E100,000##100,000##(100,000##8)#2
(3722) ginorgolthrabong = E100,000,000##100,000,000##100,000,000##8
(3723) ginorgolthrathrong = E100,000,000,000##100,000,000,000##100,000,000,000##8
...
(3724) eceto-ginorgolthra = E303##303##303##8
[FGH level ω2+8 => ω2+9]
(3725) gargantuulthra = E100##100##100#100#100#100#100#100#100#100#100 = E100##100##100##9
*alternatively (3726) gargantuunthra
(3727) gargantuulthra-ennexitris = E100##100##100#100#100#100#100#100#100#100#100#2
(3728) gargantuulthra-duennexitris = E100##100##100#100#100#100#100#100#100#100#100#3
(3729) gargantuulthra-triennexitris = E100##100##100#100#100#100#100#100#100#100#100#4
...
(3730) gargantuulthrachime = E1000##1000##1000##9
(3731) gargantuulthratoll = E10,000##10,000##10,000##9
(3732) gargantuulthragong = E100,000##100,000##100,000##9
...
(3733) eceto-gargantuulthra = E303##303##303##9
[FGH level ω2+9 => ω3]
And finally...
(3734) googondolthra = E100##100##100#100#100#100#100#100#100#100#100#100 = E100##100##100##10
*alternatively (3735) googondonthra
(3736) googondolthra-decexitris = E100##100##100#100#100#100#100#100#100#100#100#100#2
(3737) googondolthra-dudecexitris = E100##100##100#100#100#100#100#100#100#100#100#100#3
(3738) googondolthra-tridecexitris = E100##100##100#100#100#100#100#100#100#100#100#100#4
...
(3739) googondolthrachime = E1000##1000##1000##10
(3740) googondolthratoll = E10,000##10,000##10,000##10
(3741) googondolthragong = E100,000##100,000##100,000##10
...
(3742) eceto-googondolthra = E303##303##303##10
We can also continue with...
(3743) googoadolthra = E100##100##100##11
(3744) googoadolthragong = E100,000##100,000##100,000##11
(3745) googoadolthra-endecexitris = E100##100##(100##11)#2
(3746) googoadolthra-duendecexitris = E100##100##(100##11)#3
...
(3747) goograndolthra = E100##100##100##12
(3748) goograndolthra-dodecexitris = E100##100##(100##12)#2
...
(3749) googreadolthra = E100##100##100##13
(3750) googigandolthra = E100##100##100##14
(3751) googorgedolthra = E100##100##100##15
(3752) googuldolthra = E100##100##100##16
(3753) googaspdolthra = E100##100##100##17
(3754) googinordolthra = E100##100##100##18
(3755) googarganduulthra = E100##100##100##19
...
(3756) googonkosolthra = E100##100##100##20
(3757) googoakosolthra = E100##100##100##21
(3758) googrankosolthra = E100##100##100##22
(3759) googreakosolthra = E100##100##100##23
(3760) googigankosolthra = E100##100##100##24
(3761) googorgekosolthra = E100##100##100##25
(3762) googulkosolthra = E100##100##100##26
(3763) googaspkosolthra = E100##100##100##27
(3764) googinorkosolthra = E100##100##100##28
(3765) googargankosuulthra = E100##100##100##29
...
(3766) googontritolthra = E100##100##100##30
(3767) googonsartolthra = E100##100##100##40
(3768) googonpetolthra = E100##100##100##50
(3769) googonextolthra = E100##100##100##60
(3770) googoneptolthra = E100##100##100##70
(3771) googonogdolthra = E100##100##100##80
(3772) googonentolthra = E100##100##100##90
...
(3773) googonhectolthra = E100##100##100##100
(3774) googondohectolthra = E100##100##100##200
(3775) googontriahectolthra = E100##100##100##300
(3776) googontetrahectolthra = E100##100##100##400
(3777) googonpentahectolthra = E100##100##100##500
(3778) googonhexahectolthra = E100##100##100##600
(3779) googonheptahectolthra = E100##100##100##700
(3780) googonoctahectolthra = E100##100##100##800
(3781) googonennahectolthra = E100##100##100##900
...
(3782) googonchilolthra = E100##100##100##1,000
*formerly googonchiliolthra
(3783) googonmyriolthra = E100##100##100##10,000
(3784) googonchili-chilolthra = E100##100##100##1,000,000
*formerly googonchili-chiliolthra
(3785) googonmyri-myriolthra = E100##100##100##100,000,000
*alternatively (3786) googonoctadolthra
(3787) googonsedeniadolthra ✡ = E100##100##100##10,000,000,000,000,000
...