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This is a list of number names for the bracket notation in the My Number is Bigger game. See User blog:Username5243/XKCD My Number is Bigger Notations for definitions.

Brackol Regiment

Brackol = 100|() = 10^200

I use Greek-based numbers to modify the number before the |. This can produce numbers both smaller...

Brackoldi = 2|() = 4

Brackoltri = 3|() = 27

Brackoltet = 4|() = 256

Brackolpent = 5|() = 3125

Brackolhex = 6|() = 46656

Brackolhept = 7|() = 823543

Brackoloct = 8|() = 16777216

Brackolenn = 9|() = 9^9

Brackoldeca = 10|() = 10^10

Brackolicosa = 20|() = 20^20

Brackoltrianta = 30|() = 30^30

Brackolsaranta = 40|() = 40^40

Brackolpeninta = 50|() = 50^50

Brackolexinta = 60|() = 60^60

Brackolebdominta = 70|() = 70^70

Brackologdonta = 80|() = 80^80

Brackoleneninta = 90|() = 90^90

...and larger:

Brackoldiacosi = 200|() = 200^200

Brackolpentacosi = 500|() = 500^500

Brackolkilo = 1000|() = 10^3000

Brackolmyria = 10000|() = 10^40000

...And then the SI prefixes...

Brackolmega = 1000000|() = 10^6000000

Brackolgiga = 10^9|() = 10^(9*10^9)

Brackoltera = 10^12|() = 10^(1.2*10^13)

...This naming scheme won't last long. I will make a suffix called "brex" that replaces x by x|().

Brackoldibrex = 2|()|() = 256

Brackoltriabrex = 3|()|() = 27^27

Brackoltetabrex = 4|()|() = 256^256

Brackoldecabrex = 10|()|() = 10^10^11

Brackolicosabrex = 20|()|()

Brackolbrex = 100|()|() = 10^(2*10^200)

Brackolkilobrex = 1000|()|() = 10^(3*10^3000)

...Now we start iterating the brex suffix...

Brackoldidubrex = 2|()|()|() = 256^256

Brackoldecadubrex = 10|()|()|() ~ 10^10^10^11 Brackoldubrex = 100|()|()|() ~ 10^10^10^200

Brackoltribrex = 100|()|()|()|()

Brackolquadribrackex = 100|()|()|()|()|()

From here on, I'm using the shorthand |()x to represent x |()s.

Brackolquintibrex = 100|()6

Brackolsextibrex = 100|()7

Brackolseptibrex = 100|()8

Brackoloctibrex = 100|()9

Brackolnonibrex = 100|()10

Brackoldecibrex = 100|()11

...and then we get to...

Dibrackol Regiment

Dibrackol = 100|()() ~ 10^^101

Dibrackoldi = 2|()() = 256

Dibrackoltri = 3|()() ~ 10^10^40

Dibrackoltet = 4|()() ~ 10^10^10^619

Dibrackolpent = 5|()()

Dibrackoldeca = 10|()() ~ 10^^11

Dibrackolicosa = 20|()()

Dibrackolpeninta = 50|()()

Dibrackoldiacosi = 200|()()

Dibrackolpentacosi = 500|()()

Dibrackolkilo = 1000|()()

Dibrackolmyria = 10000|()()

Dibrackolmega = 1000000|()()

...

Now we need a new suffix for the |()() operator. I'll use drex. :Note we can apply it to any number

Brackoldrex = 100|()|()() ~ 10^^10^200

Brackoldidrex = 2|()|()() = 4|()()

Brackoldecadrex = 10|()|()()

Brackolkilodrex = 1000|()|()()

Dibrackoldrex = 100|()()|()()

Dibrackoldidrex = 2|()()|()() = 256|()()

Dibrackoltridrex = 3|()()|()()

Dibrackoldecadrex = 10|()()|()()

Dibrackolkilodrex = 1000|()()|()()

Brackuldudrex = 100|()|()()|()()

Dibrackoldudrex = 100|()()|()()|()()

Dibrackoltridrex = 100|()()|()()|()()|()()

Dibrackolquadridrex = 100|()()5

Dibrackolquintidrex = 100|()()6

...

Tribrackol Regiment

Tribrackol = 100|()()()

Tribrackoldi = 2|()()() (= mega)

Tribrackolpent = 5|()()()

Tribrackoldeca = 10|()()() (= megiston)

Tribrackolicosa = 20|()()()

Tribrackolkilo = 1000|()()()

Tribrackolmega = 1000000|()()()

Next comes the new suffix, tree...

Brackoltrex = 100|()|()()()

Dibrackoltrex = 100|()()|()()()

Tribrackoltrex = 100|()()()|()()()

Tribrackolditrex = 2|()()()|()()()

Tribrackoldecatrex = 10|()()()|()()()

Tribrackoldutrex = 100|()()()|()()()|()()()

Tribrackoltritrex = 100|()()()|()()()|()()()

...Of course these are just a few of the possible number names...

Tetrabrackol Regiment and the rest of the Brackol gang

Tetrabrackol = 100|()()()()

Tetrabrackoldi = 2|()()()()

Tetrabrackoldeca = 10|()()()()

Tetrabrackolkilo = 1000|()()()()

Brackoltetrex = 100|()|()()()()

Dibrackoltetrex = 100|()()|()()()()

Tribrackoltetrex = 100|()()()|()()()()

Tetrabrackoltetrex = 100|()()()()|()()()()

Tetrabrackoldutetrex = 100|()()()()|()()()()|()()()()

...And then comes the rest of this group of regiments, starting with pentabrackol...

Pentabrackol = 100|()()()()()

Pentabrackoldeca = 10|()()()()()

Brackolpentrex = 100|()|()()()()()

Dibrackolpentrex = 100|()()|()()()()()

Tribrackolpentrex = 100|()()()|()()()()()

Tetrabrackolpentrex = 100|()()()()|()()()()()

Pentabrackolpentrex = 100|()()()()()|()()()()()

Pentabrackoldupentrex = 100|()()()()()|()()()()()|()()()()()

...Then hexabrackol...

Hexabrackol = 100|()()()()()()

Brackolhextrex = 100|()|()()()()()()

Hexabrackolhextrex = 100|()()()()()()|()()()()()()

...You should get the idea by now...

Heptabrackol = 100|()()()()()()()

Octabrackol = 100|()()()()()()()()

Ennabrackol = 100|()()()()()()()()()

Dekabrackol = 100|()()()()()()()()()()

...It's time to bring out (()) next...

Endobrackol Regiment

Endobrackol = 100|(())

The "endo" prefix takes a number of the form 100|X and returns 100|(X). Let's look at variants...

Endobrackoldi = 2|(())

Endobrackoltri = 3|(())

Endobrackoldeca = 10|(())

Endobrackolkilo = 1000|(())

At this point I'll add the "Grand" operator, which repeats a bracket string...

Grand Endobrackol = 100|(())|(())

Double-Grand Endobrackol = 100|(())|(())|(())

...

Brackol-con-endobrackol Regiement and the rest of the Endobrackol Gang

It is at this point that I'll introduce the -con- infix, which concatenates expressions.

Brackol-con-endobrackol = 100|()(())

Grand Brackol-con-endobrackol = 100|()(())|()(())

Dibrackol-con-Endobrackol = 100|()()(())

Tribrackol-con-endobrackol = 100|()()()(())

Tetrabrackol-con-endobrackol = 100|()()()()(())

Pentabrackol-con-endobrackol = 100|()()()()()(())

...

Di-Endobrackol Regiment and Higher=

Di-endobarckol = 100|(())(())

Grand Di-endobrackol = 100|(())(())|(())(())

Brackol-con-di-endobrackol = 100|()(())(())

Dibrackol-con-di-endobrackol = 100|()()(())(())

Tribrackol-con-di-endobrackol = 100|()()()(())(())

Try-endobrackol = 100|(())(())(())

Brackol-con-tri-endobrackol = 100|()(())(())(())

Dibrackol-carta-tri-endobrackol = 100|()()(())(())(())

Tetra-endobrackol = 100|(())(())(())(())

Penta-endobrackol = 100|(())(())(())(())(())

Hexa-endobrackol = 100|(())(())(())(())(())(())

...

Endodibrackol Regiment

Endodibgrackol = 100|(()())

Grand Endodibgrackol = 100|(()())|(()())

Brackol-con-endodibrackol = 100|()(()())

Dibrackol-con-endodibrackol = 100|()()(()())

Tribrackol-con-endodibrackol = 100|()()()(()())

Endobrackol-con-endodibrackol = 100|(())(()())

Brackol-con-endobrackol-con-endodibrackol = 100|()(())(()())

Dibrackol-con-endobrackol-con-endodibrackol = 100|()()(())(()())

Di-endobrackol-con-endodibrackol = 100|(())(())(()())

Try-endobrackol-con-endodibrackol = 100|(())(())(())(()())

Di-endodibrackol = 100|(()())(()())

Brackol-con-di-endodibrackol = 100|()(()())(()())

Endobrackol-con-di-endobrackol = 100|(())(()())(()())

Di-endobrackol-con-di-endodibrackol = 100|(())(())(()())(()())

Tri-endodibrackol = 100|(()())(()())(()())

Tetra-Endodibgrackol = 100|(()())(()())(()())(()())

...

Endotribrackol regiment and beyond

More coming soon.

====More numbers coming sometime, hopefully soon! ====

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