Another thing I'd like to introduce is a nice way to name the so called millionplex along with a bunch of other googolism's patterned on the same approach. Since millionplex never sounded very good to me I suggest reordering the roots as milliplexion. From this we can get...
(698) milliplexion ⍟☆★ = E6#2 = 10^10^6 = 10^1,000,000
(699) billiplexion ☆ = E9#2 = 10^10^9 = 10^1,000,000,000
(700) trilliplexion ☆ = E12#2 = 10^10^12 = 10^1,000,000,000,000
Unfortunately, Saibian concluded that -illiplexion series would end in trilliplexion, hence the tradition here stops abruptly, but I against that situation, so I made up many -illiplexions here.
Let's peak at the variant of the -illions, starting from dictionary -illions!
(701) quadrilliplexion = E15#2 = 10^10^15 = 10^1,000,000,000,000,000
(702) quintilliplexion = E18#2 = 10^10^18 = 10^1,000,000,000,000,000,000
(703) sextilliplexion = E21#2 = 10^10^21 = 10^1,000,000,000,000,000,000,000
(704) septilliplexion = E24#2 = 10^10^24 = 10^1,000,000,000,000,000,000,000,000
(705) octilliplexion = E27#2 = 10^10^27 = 10^1,000,000,000,000,000,000,000,000,000
(706) nonilliplexion = E30#2 = 10^10^30 = 10^1,000,000,000,000,000,000,000,000,000,000
(707) decilliplexion = E33#2 = 10^10^33 = 10^1,000,000,000,000,000,000,000,000,000,000,000
(708) undecilliplexion = E36#2 = 10^10^36
(709) duodecilliplexion = E39#2 = 10^10^39
(710) tredecilliplexion = E42#2 = 10^10^42
(711) quattuordecilliplexion = E45#2 = 10^10^45
(712) quindecilliplexion = E48#2 = 10^10^48
(713) sexdecilliplexion = E51#2 = 10^10^51
(714) septendecilliplexion = E54#2 = 10^10^54
(715) octodecilliplexion = E57#2 = 10^10^57
(716) novemdecilliplexion = E60#2 = 10^10^60
(717) vigintilliplexion = E63#2 = 10^10^63
(718) unvigintilliplexion = E66#2 = 10^10^66
(719) duovigintilliplexion = E69#2 = 10^10^69
(720) trevigintilliplexion = E72#2 = 10^10^72
(721) quattuorvigintilliplexion = E75#2 = 10^10^75
(722) quinvigintilliplexion = E78#2 = 10^10^78
(723) sexvigintilliplexion = E81#2 = 10^10^81
(724) septenvigintilliplexion = E84#2 = 10^10^84
(725) octovigintilliplexion = E87#2 = 10^10^87
(726) novemvigintilliplexion = E90#2 = 10^10^90
(727) trigintilliplexion = E93#2 = 10^10^93
...
(728) quadragintilliplexion = E123#2 = 10^10^123
(729) quinquagintilliplexion = E153#2 = 10^10^153
(730) sexagintilliplexion = E183#2 = 10^10^183
(731) septuagintilliplexion = E213#2 = 10^10^213
(732) octogintilliplexion = E243#2 = 10^10^243
(733) nonagintilliplexion = E273#2 = 10^10^273
(734) centilliplexion = E303#2 = 10^10^303
(also ecetonplex. See #659)
(735) ducentilliplexion = E603#2 = 10^10^603
(736) trecentilliplexion = E903#2 = 10^10^903
(737) quadringentilliplexion = E1203#2 = 10^10^1203
(738) quingentilliplexion = E1503#2 = 10^10^1503
(739) sescentilliplexion = E1803#2 = 10^10^1803
(740) septingentilliplexion = E2103#2 = 10^10^2103
(741) octingentilliplexion = E2403#2 = 10^10^2403
(742) nongentilliplexion = E2703#2 = 10^10^2703
(743) millilliplexion = E3003#2 = 10^10^3003
...
(744) duomillilliplexion = E6003#2 = 10^10^6003
(745) tremillilliplexion = E9003#2 = 10^10^9003
(746) quattuormillilliplexion = E12,003#2 = 10^10^12,003
...
(747) decimillilliplexion = E30,003#2 = 10^10^30,003
(748) centimillilliplexion = E300,003#2 = 10^10^300,003
(749) milli-millilliplexion ✡ = E3,000,003#2 = 10^10^3,000,003
Say, milli-millillion is also called "micrillion" in Jonathan Bowers' -illion system, hence milli-millilliplexion is also equal to one followed by a micrillion zeroes!
Moving on -illiduplexion...
(750) milliduplexion ☆ = E6#3 = 10^10^10^6 = 10^10^1,000,000
(751) billiduplexion = E9#3 = 10^10^10^9 = 10^10^1,000,000,000
(752) trilliduplexion = E12#3 = 10^10^10^12 = 10^10^1,000,000,000,000
(753) quadrilliduplexion = E15#3 = 10^10^10^15
(754) quintilliduplexion = E18#3 = 10^10^10^18
(755) sextilliduplexion = E21#3 = 10^10^10^21
(756) septilliduplexion = E24#3 = 10^10^10^24
(757) octilliduplexion = E27#3 = 10^10^10^27
(758) nonilliduplexion = E30#3 = 10^10^10^30
(759) decilliduplexion = E33#3 = 10^10^10^33
(760) undecilliduplexion = E36#3 = 10^10^10^36
(761) duodecilliduplexion = E39#3 = 10^10^10^39
(762) tredecilliduplexion = E42#3 = 10^10^10^42
(763) quattuordecilliduplexion = E45#3 = 10^10^10^45
(764) quindecilliduplexion = E48#3 = 10^10^10^48
(765) sexdecilliduplexion = E51#3 = 10^10^10^51
(766) septendecilliduplexion = E54#3 = 10^10^10^54
(767) octodecilliduplexion = E57#3 = 10^10^10^57
(768) novemdecilliduplexion = E60#3 = 10^10^10^60
(769) vigintilliduplexion = E63#3 = 10^10^10^63
...
(770) trigintilliduplexion = E93#3 = 10^10^10^93
(771) quadragintilliduplexion = E123#3 = 10^10^10^123
(772) quinquagintilliduplexion = E153#3 = 10^10^10^153
(773) sexagintilliduplexion = E183#3 = 10^10^10^183
(774) septuagintilliduplexion = E213#3 = 10^10^10^213
(775) octogintilliduplexion = E243#3 = 10^10^10^243
(776) nonagintilliduplexion = E273#3 = 10^10^10^273
(777) centilliduplexion = E303#3 = 10^10^10^303
(also ecetonduplex. See #660)
...
(778) millilliduplexion = E3003#3 = 10^10^10^3003
(779) decimillilliduplexion = E30,003#3 = 10^10^10^30,003
(780) centimillilliduplexion = E300,003#3 = 10^10^10^300,003
(781) milli-millilliduplexion = E3,000,003#3 = 10^10^10^3,000,003
...
(782) millitriplexion ☆ = E6#4 = 10^10^10^1,000,000
(783) billitriplexion = E9#4 = 10^10^10^1,000,000,000
(784) trillitriplexion = E12#4 = 10^10^10^1,000,000,000,000
(785) quadrillitriplexion = E15#4 = 10^10^10^10^15
(786) quintillitriplexion = E18#4 = 10^10^10^10^18
(787) sextillitriplexion = E21#4 = 10^10^10^10^21
(788) septillitriplexion = E24#4 = 10^10^10^10^24
(789) octillitriplexion = E27#4 = 10^10^10^10^27
(790) nonillitriplexion = E30#4 = 10^10^10^10^30
(791) decillitriplexion = E33#4 = 10^10^10^10^33
...
(792) vigintillitriplexion = E63#4 = 10^10^10^10^63
...
(792) centillitriplexion = E303#4 = 10^10^10^10^303
(also ecetontriplex. See #661)
(793) millillitriplexion = E3003#4 = 10^10^10^10^3003
(794) milli-millillitriplexion = E3,000,003#4 = 10^10^10^10^3,000,003
We can continue further with...
(795) milliquadriplexion = E6#5 = 10^10^10^10^1,000,000
(796) billiquadriplexion = E9#5 = 10^10^10^10^1,000,000,000
(797) trilliquadriplexion = E12#5 = 10^10^10^10^1,000,000,000,000
(798) decilliquadriplexion = E33#5 = 10^10^10^10^10^33
(799) centilliquadriplexion = E303#5 = 10^10^10^10^10^303
(800) millilliquadriplexion = E3003#5 = 10^10^10^10^10^3003
...
(801) milliquintiplexion = E6#6 = 10^10^10^10^10^1,000,000
(802) billiquintiplexion = E9#6 = 10^10^10^10^10^1,000,000,000
(803) trilliquintiplexion = E12#6 = 10^10^10^10^10^1,000,000,000
(804) decilliquintiplexion = E33#6 = 10^10^10^10^10^10^33
(805) centilliquintiplexion = E303#6 = 10^10^10^10^10^10^303
(806) millilliquintiplexion = E3003#6 = 10^10^10^10^10^10^3003
...
(807) millisextiplexion = E6#7 = 10^10^10^10^10^10^1,000,000
(808) milliseptiplexion = E6#8 = 10^10^10^10^10^10^10^1,000,000
(809) millioctiplexion = E6#9 = 10^10^10^10^10^10^10^10^1,000,000
(810) millinoniplexion = E6#10 = 10^10^10^10^10^10^10^10^10^1,000,000
(811) millideciplexion = E6#11 = 10^10^10^10^10^10^10^10^10^10^1,000,000
...
(812) milli-undeciplexion = E6#12
(813) milli-duodeciplexion = E6#13
(814) milli-tredeciplexion = E6#14
(815) milli-quattuordeciplexion = E6#15
(816) milli-quindeciplexion = E6#16
(817) milli-sexdeciplexion = E6#17
(818) milli-septendeciplexion = E6#18
(819) milli-octodeciplexion = E6#19
(820) milli-novemdeciplexion = E6#20
(821) millivigintiplexion = E6#21
...
(822) millitrigintiplexion = E6#31
(823) milliquadragintiplexion = E6#41
(824) milliquinquagintiplexion = E6#51
(825) millisexagintiplexion = E6#61
(826) milliseptuagintiplexion = E6#71
(827) millioctogintiplexion = E6#81
(828) millinonagintiplexion = E6#91
(829) millicentiplexion = E6#101
...
Hang off, How about E6#1001? Guess what, the naming gaps were already filled. I was going meta for nonstandard milli-n-plexion whatsoever.
But, one ubiquitous issue. (749) milli-milliplexion is already defined as E3,003#2 = 10^10^3,003, if you do that process above, it would result the same name.
I want to do a similar resolution for E6#1001. I decided to name the number as millia-milliplexion by modifying the root before the suffix, as you get:
(830) millia-milliplexion = E6#1001
(831) milli-millia-milliplexion ✡ = E6#1,000,001
In addition I'd like to coin a name for a number my brother came up with while struggling to show that creating "very large numbers" is always easy...
Saibian defined...
(832) fzmilliplexion = (10^1,000,000)^(10^1,000,000)
= 10^(1,000,000*10^1,000,000) = 10^10^1,000,006 = E1,000,006#2
This can alternatively be defined as (10^10^1,000,000)^1,000,000. In other words it is the millionth power of a milliduplexion. With numbers this big however this isn't that impressive an improvement. While it is true that this number is easy to define ... using modern decimal and exponential notation ... this isn't what I mean when I speak of numbers so large they are "hard" to define. We need to create rather sophisticated recursions to reach that level. We have really only just begun ...
With guppy = 10^20, we can have:
(833) garguppy = (10^20)^2 = 10^(20*2) = 10^40 = 10 000 000 000 000 000 000 000 000 000 000 000 000 000
(834) fzguppy = (10^20)^(10^20) = 10^(20*10^20) = 10^(2*10^21)
= 10^2 000 000 000 000 000 000 000 = E(2E20)
(835) fugaguppy = (10^20)^(10^20)^(10^20-1) ~ 10^10^(2*10^21)
Level 1 | Stage 1 | Breaking the guppy regiment
In addition to all this I also have some names for power towers of Tens. The number of tens can be written as a greek number followed by the suffix "-logue". Thus I define the following numbers:
(836) monologue ✳☆★ = E1#1 = E1 = 10^1 = 10 = 10^^1
(837) dialogue ✳⍟☆★ = E1#2 = 10^10 = 10,000,000,000 = 10^^2
(838) trialogue ✳⍟☆★ = E1#3 = 10^10^10 = 10^10,000,000,000 = 10^^3
(839) tetralogue ✳⍟☆★ = E1#4 = 10^10^10^10 = 10^10^10,000,000,000 = 10^^4
(840) pentalogue ✳⍟☆★ = E1#5 = 10^10^10^10^10 = 10^10^10^10,000,000,000 = 10^^5
(841) hexalogue ✳⍟☆★ = E1#6 = 10^10^10^10^10^10 = 10^^6
(842) heptalogue ✳⍟☆★ = E1#7 = 10^10^10^10^10^10^10 = 10^^7
(843) octalogue ✳⍟☆★ = E1#8 = 10^10^10^10^10^10^10^10 = 10^^8
(844) ennalogue ✳⍟☆★ = E1#9 = 10^10^10^10^10^10^10^10^10 = 10^^9
(845) dekalogue ✳⍟☆★ = E1#10 = 10^10^10^10^10^10^10^10^10^10 = 10^^10
*also spelled "decalogue"
(846) endekalogue = E1#11 = 10^10^10^10^10^10^10^10^10^10^10 = 10^^11
(847) dodekalogue = E1#12 = 10^10^10^10^10^10^10^10^10^10^10^10 = 10^^12
(848) triadekalogue = E1#13 = 10^10^10^10^10^10^10^10^10^10^10^10^10 = 10^^13
(849) tetradekalogue = E1#14 = 10^10^10^10^10^10^10^10^10^10^10^10^10^10 = 10^^14
(850) pentadekalogue = E1#15 = 10^10^10^10^10^10^10^10^10^10^10^10^10^10^10 = 10^^15
(851) hexadekalogue = E1#16 = 10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10 = 10^^16
(852) heptadekalogue = E1#17 = 10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10 = 10^^17
(853) octadekalogue = E1#18 = 10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10 = 10^^18
(854) ennadekalogue = E1#19 = 10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10 = 10^^19
(855) icosalogue = E1#20 = 10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10^10 = 10^^20
(856) enicosalogue = E1#21 = 10^^21
(857) doicosalogue = E1#22 = 10^^22
(858) triaicosalogue = E1#23 = 10^^23
(859) tetraicosalogue = E1#24 = 10^^24
(860) pentaicosalogue = E1#25 = 10^^25
(861) hexaicosalogue = E1#26 = 10^^26
(862) heptaicosalogue = E1#27 = 10^^27
(863) octaicosalogue = E1#28 = 10^^28
(864) ennaicosalogue = E1#29 = 10^^29
(865) triantalogue = E1#30 = 10^^30
...
(866) terantalogue = E1#40 = 10^^40
(867) penantalogue = E1#50 = 10^^50
(868) exatalogue = E1#60 = 10^^60
(869) eptatalogue = E1#70 = 10^^70
(870) ogdatalogue = E1#80 = 10^^80
(871) entatalogue = E1#90 = 10^^90
...
(872) ennaentatalogue = E1#99 = 10^^99
(873) hectalogue ⍟☆★✪ = E1#100 = 10^^100
= 10^10^10^10^10^...^10^10^10^10^10
(w/ 100 tens)
Hectalogue is a number so huge that you have to take the common logorithm of it a hundred times to reduce it to a one ! That's so counter-intuitive it sounds impossible, but it's not! Dekalogue is also known as the "decker" in Bowers system, and the hectalogue is known as the "giggol".
We can go a little further with the greek numbers, so let's also introduce:
(874) dohectalogue = E1#200 = 10^^200
(875) triahectalogue = E1#300 = 10^^300
(876) tetrahectalogue = E1#400 = 10^^400
(877) pentahectalogue = E1#500 = 10^^500
(878) hexahectalogue = E1#600 = 10^^600
(879) heptahectalogue = E1#700 = 10^^700
(880) octahectalogue = E1#800 = 10^^800
(881) ennahectalogue = E1#900 = 10^^900
(882) chilialogue ☆★ = E1#1000 = 10^^1000
= 10^10^10^10^10^...^10^10^10^10^10
(w/ 1000 tens)
(883) myrialogue = E1#10,000 = 10^^10,000
= 10^10^10^10^10^...^10^10^10^10^10
(w/ 10,000 tens)
(884) hecta-chilialogue = E1#100,000 = 10^^100,000
(885) chilia-chilialogue = E1#1,000,000 = 10^^1,000,000
(886) chilia-myrialogue = E1#10,000,000 = 10^^10,000,000
(887) myria-myrialogue = E1#100,000,000 = 10^^100,000,000
We can go a little further ... but there aren't many classical greek words for larger numbers. We could coin...
(888) octadalogue = E1#100,000,000 = 10^^100,000,000
As an alternative to a myria-myrialogue using Archimedes "octad". Going a little further with this pattern we could use...
(889) sedeniadalogue ✡ = E1#10,000,000,000,000,000 = E1#(10^16) = 10^^10,000,000,000,000,000
The numbers in the "Guppy Regiment" are already large enough to exceed anything we'd need in the sciences. There is very little practical use for numbers as large as hectalogue. Yet this is only just the beginning of what we can define mathematically! In the next regiment we will quickly make the sedeniadialogue look like a guppy in comparison...
We can continue to name guppy regiment numbers further after those latter regiments. We call the first regiment continuation as "Guppy regiment supplement"!