User blog:ArtismScrub/Further extension to Cookiefonster's extended corporal numbers

Corporal = {10,100,1,2} (10 expanded to 100) - original, named by Jonathan Bowers

List of named extensions ("corporal regiment")
Mulporal = {10,100,2,2} (10 multiexpanded to 100)

Powporal = {10,100,3,2} (10 powerexpanded to 100)

Terporal = {10,100,4,2} (10 expandotetrated to 100)

Pepporal = {10,100,5,2} (10 expandopentated to 100)

...

Corplodal = {10,100,1,3} (10 exploded to 100)

Mulplodal = {10,100,2,3} (10 multiexploded to 100)

Powplodal = {10,100,3,3} (10 powerexploded to 100)

Terplodal = {10,100,4,3} (10 explodotetrated to 100)

...

Cordetal = {10,100,1,4} (10 detonated to 100)

Muldetal = {10,100,2,4} (10 multidetonated to 100)

...

Corpental = {10,100,1,5} (10 pentonated to 100)

Corhexal = {10,100,1,6} (10 hexonated to 100)

Corheptal = {10,100,1,7} (10 heptonated to 100)

etc.

General rule
{10,100,x,y} where the graph expands infinitely along both axes.

The googol series is included in the graph for the sake of having a complete graph. Yes, Bowers does not have an infinite number of googol extensions, but there are surely several complete systems to fill in for that, such as André Joyce's ga-x-oogol system. The line of googols is kind of an odd one out here anyway.

In a nutshell
THIRD ENTRY

1 / standard = cor-

2 / multi- = mul-

3 / power = pow-

4 / tetra = ter-

5 / penta = pep- / pen- (if first letter after prefix is "P", use pep-. otherwise, use pen-.)

6 / hexa = hex-

7 / hepta = hep-

8 / octa = oc-

9 / enna = en- / enn- (Cookiefonster uses en- for "enporal", but enn- for everything else. I want to believe the first instance is a typo, but just to be sure...)

10 / deka = dek-

etc.

FOURTH ENTRY

1 / up-arrows / doesn't exist = ignore & call primitive googol series

2 / expansion = -poral

3 / explosion = -plodal

4 / detonation = -detal

5 / pentonation = -pental

6 / hexonation = -hexal

7 / heptonation = -heptal

8 / octonation = -octal

9 / ennonation = -ennal

10 / dekonation = -dekal

also, if x = y and are > 5, put a hyphen between the prefix and the base.

So, again, we have a 2-dimension infinite graph of names. Ready to make that 3D?

Extension into 5th entry!
Using Aarex's hyper-operator names. They still exist here :^)

Names of {10,100,x,y,2} / "megorporal regiment"
Megorporal = {10,100,1,1,2} (10 megoted to 100)

Megomulporal = {10,100,2,1,2} (10 multimegoted to 100)

Megopowporal = {10,100,3,1,2} (10 powermegoted to 100)

Megoterporal = {10,100,4,1,2} (10 megotetrated to 100)

Megopepporal = {10,100,5,1,2} (10 megopentated to 100)

...

Megorpandal = {10,100,1,2,2} (10 megoexpanded to 100)

Megomulpandal = {10,100,2,2,2} (10 multimegoexpanded to 100)

Megopowpandal = {10,100,3,2,2} (10 powermegoexpanded to 100)

Megoterpandal = {10,100,4,2,2} (10 megoexpandotetrated to 100)

Megopeppandal = {10,100,5,2,2} (10 megoexpandopentated to 100)

...

Megorplodal = {10,100,1,3,2} (10 megoexploded to 100)

Megomulplodal = {10,100,2,3,2} (10 multimegoexploded to 100)

Megopowplodal = {10,100,3,3,2} (10 powermegoexploded to 100)

...

Megordetal = {10,100,1,4,2} (10 megodetonated to 100)

Megorpental = {10,100,1,5,2} (10 megopentonated to 100)

Megorhexal = {10,100,1,6,2} (10 megohexonated to 100)

etc. Basically works the same as the first plane of corporal names, but:
 * slap "mego-" at the beginning of everything for megotion
 * if the 3rd entry is 1, "megocor-" is shortened to "megor-" because it sounds better
 * "-poral" is used for the 4th entry being 1. "-pandal" is used for the 4th entry being 2. this is because the googol series doesn't fit here.

Names of {10,100,x,y,3} / "gigorporal regiment"
Gigorporal = {10,100,1,1,3} (10 megoted to 100)

Gigomulporal = {10,100,2,1,3} (10 multimegoted to 100)

Gigopowporal = {10,100,3,1,3} (10 powermegoted to 100)

Gigoterporal = {10,100,4,1,3} (10 megotetrated to 100)

Gigopepporal = {10,100,5,1,3} (10 megopentated to 100)

...

Gigorpandal = {10,100,1,2,3} (10 megoexpanded to 100)

Gigomulpandal = {10,100,2,2,3} (10 multimegoexpanded to 100)

Gigopowpandal = {10,100,3,2,3} (10 powermegoexpanded to 100)

Gigoterpandal = {10,100,4,2,3} (10 megoexpandotetrated to 100)

Gigopeppandal = {10,100,5,2,3} (10 megoexpandopentated to 100)

...

Gigorplodal = {10,100,1,3,3} (10 megoexploded to 100)

Gigomulplodal = {10,100,2,3,3} (10 multimegoexploded to 100)

Gigopowplodal = {10,100,3,3,3} (10 powermegoexploded to 100)

...

<p style="font-weight:normal;">Gigordetal = {10,100,1,4,3} (10 gigodetonated to 100)

<p style="font-weight:normal;">Gigorpental = {10,100,1,5,3} (10 gigopentonated to 100)

<p style="font-weight:normal;">Gigorhexal = {10,100,1,6,3} (10 gigohexonated to 100)

<p style="font-weight:normal;">etc. Works the same as the megorporal regiment, but "mego" is replaced with "gigo".

At this point you should be able to gather that that's going to become a pattern, so...

Names of {10,100,x,y,z} for higher z / further regiments
Terorporal = {10,100,1,1,4} (10 teroted to 100)

continue in the same fashion...

Petorporal = {10,100,1,1,5} (10 petoted to 100)

Hatorporal = {10,100,1,1,6} (10 hatoted to 100)

<p style="font-weight:normal;">Heporporal = {10,100,1,1,7} (10 hepoted to 100)

<p style="font-weight:normal;">Ocorporal = {10,100,1,1,8} (10 ocoted to 100)

<p style="font-weight:normal;">Nanorporal = {10,100,1,1,9} (10 nanoted to 100)

<p style="font-weight:normal;">Uzorporal = {10,100,1,1,10} (10 uzoted to 100)

<p style="font-weight:normal;">Uuorporal = {10,100,1,1,11} (10 uuoted to 100)

<p style="font-weight:normal;">Udorporal = {10,100,1,1,12} (10 udoted to 100)

<p style="font-weight:normal;">Utorporal = {10,100,1,1,13} (10 utoted to 100)

<p style="font-weight:normal;">Ueorporal = {10,100,1,1,14} (10 ueoted to 100)

<p style="font-weight:normal;">Uporporal = {10,100,1,1,15} (10 upoted to 100)

<p style="font-weight:normal;">Uhorporal = {10,100,1,1,16} (10 uhoted to 100)

<p style="font-weight:normal;">Uaorporal = {10,100,1,1,17} (10 uaoted to 100)

<p style="font-weight:normal;">Uoorporal = {10,100,1,1,18} (10 uooted to 100)

<p style="font-weight:normal;">Unorporal = {10,100,1,1,19} (10 unoted to 100)

<p style="font-weight:normal;">Dzorporal = {10,100,1,1,20} (10 dzoted to 100)

<p style="font-weight:normal;">...

<p style="font-weight:normal;">Tzorporal = {10,100,1,1,30} (10 tzoted to 100)

<p style="font-weight:normal;">...

<p style="font-weight:normal;">Uzzorporal = {10,100,1,1,100} (10 uzzoted to 100)

<p style="font-weight:normal;">Uzzzorporal = {10,100,1,1,1000} (10 uzzzoted to 1000)

<p style="font-weight:normal;">and so on throughout Aarex's pentetrical system.

<p style="font-weight:normal;">''How would you even pronounce most of these? Just spell it out up until the -orporal??''

<p style="font-weight:normal;">Anyway, we've extended the 2-dimensional infinite corporal graph into a 3-dimensional infinite graph.

<p style="font-weight:normal;">BUT I'M NOT DONE YET

Extension into 6th entry?!
Again using Aarex's hyper operators.

Corporainatal = {10,100,1,1,1,2} (10 powiainated to 100) (core-pur-eye-nay-tul) ("corporiail" sounded too awkward and "corporainal" sounded... yeah)

Mulporainatal = {10,100,2,1,1,2} (10 multipowiainated to 100)

Powporainatal = {10,100,3,1,1,2} (10 powerpowiainated to 100)

...

Corpandainatal = {10,100,1,2,1,2} (core-pan-die-nay-tul) (10 expandainated to 100)

Corplodainatal = {10,100,1,3,1,2} (10 explodainated to 100)

Cordetainatal = {10,100,1,4,1,2} (10 detodainated to 100)

...

Megorporainatal = {10,100,1,1,2,2} (10 megodainated to 100)

Gigorporainatal = {10,100,1,1,3,2} (10 gigodainated to 100)

Terorporainatal = {10,100,1,1,4,2} (10 terodainated to 100)

...

Corporairial = {10,100,1,1,1,3} (pronounced corpor-Arial) (10 powiairiated to 100)

Corporaietrial = {10,100,1,1,1,4} (core-pur-eye-eh-tree-ul) (10 p<span style="color:rgb(68,68,68);font-family:Arial,Verdana,sans-serif;font-size:13.3333px;font-weight:normal;text-align:center;">owiaietriated to 100)

Corporaiential = {10,100,1,1,1,5} (10 <span style="color:rgb(68,68,68);font-family:Arial,Verdana,sans-serif;font-size:13.3333px;font-weight:normal;text-align:center;">powiaientated to 100)

Corporaiexial = {10,100,1,1,1,6} (10 powiaiexated to 100)

Corporaieptial = {10,100,1,1,1,7} (10 powiaieptated to 100)

Corporaioctial = {10,100,1,1,1,8} (10 powiaioctated to 100)

Corporaiennial = {10,100,1,1,1,9} (10 powiaienneated to 100)

Corporaiakal = {10,100,1,1,1,10} (core-pur-eye-ah-kul) (10 powiaiakated to 100)

Corporaiakilal = {10,100,1,1,1,11} (core-pur-eye-ah-kill-ul) (10 powiaiakilated to 100)

Corporaiamegal = {10,100,1,1,1,12} (10 powiaiamegated to 100)

Corporaiagigal = {10,100,1,1,1,13} (10 powiaiagigated to 100)

Corporaiateral = {10,100,1,1,1,14} (10 powiaiaterated to 100)

Corporaiapetal = {10,100,1,1,1,15} (10 powiaiapetated to 100)

Corporaiaxal = {10,100,1,1,1,16} (core-pur-eye-axe-ul) (10 powiaiaexated to 100)

Corporaiazettal = {10,100,1,1,1,17} (10 powiaiazettated to 100)

Corporaiayottal = {10,100,1,1,1,18} (10 powiaiayottated to 100)

Corporaiaxotal = {10,100,1,1,1,19} (10 powiaiaxotated to 100)

Corporaigintal = {10,100,1,1,1,20} (10 powiaigintated to 100)

and that's as far as Aarex himself names as far as his own hyper-operators. So, focusing on only the 5th and 6th entries, we have:

{10,100,1,1,x,y} So there you have it. I took Cookiefonster's corporal extensions and made them into an infinite 2-dimensional graph, then applied 5th and 6th entry fixes, making the graph 3-dimensional, and now 4-dimensional.

I saw untapped potential in an incomplete system and I took it.

Or, rather, I just named a bunch of numbers in BEAF.