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XRQ CORPORATION's Colossol Series

XRQ CORPORATION's Colossol Series

Previous serie: Triubol NumbersXappol{10,10 (2) 2}The xappol is the result of solving 10x10 array of 10's in Bowers' notation. Here is that array written out:/10,10,10,10,10,10,10,10,10,10\|10,10,10,10,10,10,10,10,10,10||10,10,10,10,10,10,10,10,10,10||10,10,10,10,10,10,10,10,10,10|/ 10,10,10,10,10,10,10,10,10,10 \\ 10,10,10,10,10,10,10,10,10,10 /|10,10,10,10,10,10,10,10,10,10||10,10,10,10,10,10,10,10,10,10||10,10,10,10,10,10,10,10,10,10|\10,10,10,10,10,10,10,10,10,10/YIKES! This number is a good example of a big planar array. It would require an inconceivably large number of levels of decomposition just to get rid of the last row, and even more unfathomably long to completely solve!The name xappol has been honored in the name XappolBot of the bot (programmed by Vel!) in Googology Wiki's IRC chat.Goxxol{10,100 (2) 2}Or a 100x100 array of 10s. Saibian coined this number as a number comparable to the next number.Xappolplex{10,3,2 (2) 2}The planar array for this number would be too big to fit in the observable universe, or even for x observable universes where x is the number of Planck volumes in the universe - these numbers transcend any such analogy anyway. This number is the next step in recursion from a xappol.Goxxolplex{10,{10,100 (2) 2} (2) 2}
Gixxol{10,100,2 (2) 2}
Gaxxol{10,100,3 (2) 2}
Geexol{10,100,4 (2) 2}
Guxxol{10,100,5 (2) 2}
Boxxol{10,10,100 (2) 2}
Corporxal{10,100,1,2 (2) 2}
Troxxol{10,10,10,100 (2) 2}
Quadroxxol{10,10,10,10,100 (2) 2}
Quintoxxol{10,10,10,10,10,100 (2) 2}
Sextoxxol{10,10,10,10,10,10,100 (2) 2}
Septoxxol{10,10,10,10,10,10,10,100 (2) 2}
Gooboxxol{10,100 (1) 2 (2) 2}Old name: Goobol-parta-goxxolGibboxxol{10,100,2 (1) 2 (2) 2}Old name: Gibbol-parta-goxxolGabboxxol{10,100,3 (1) 2 (2) 2}Old name: Gabbol-parta-goxxolBooboxxol{10,10,100 (1) 2 (2) 2}Old name: Boobol-parta-goxxolTrooboxxol{10,10,10,100 (1) 2 (2) 2}Old name: Troobol-parta-goxxolGootroxxol{10,100 (1) 3 (2) 2}Old name: Gootrol-parta-goxxolGossoxxol{10,10 (1) 100 (2) 2}Old name: Gossol-parta-goxxolGissoxxol{10,10 (1) 100,2 (2) 2}Old name: Gissol-parta-goxxolGassoxxol{10,10 (1) 100,3 (2) 2}Old name: Gassol-parta-goxxolMossoxxol{10,10 (1) 10,100 (2) 2}Old name: Mossol-parta-goxxolMissoxxol{10,10 (1) 10,100,2 (2) 2}Old name: Missol-parta-goxxolBossoxxol{10,10 (1) 10,10,100 (2) 2}Old name: Bossol-parta-goxxolTrossoxxol{10,10 (1) 10,10,10,100 (2) 2}Old name: Trossol-parta-goxxolDubol-parta-goxxol{10,100 (1)(1) 2 (2) 2}
Triubol-parta-goxxol{10,100 (1)(1)(1) 2 (2) 2}
Tetrubol-parta-goxxol{10,100 (1)(1)(1)(1) 2 (2) 2}
Pentubol-parta-goxxol{10,100 (1)(1)(1)(1)(1) 2 (2) 2}
Grand xappol{10,10 (2) 3}Remember the array used to define a xappol? Put a 2 behind the first 10 and you get this. When you solve it to a planar array it would be horrendously huge, and then you'll need to go through insane decompositions just to even turn it into a linear array! However, with numbers this large this is a pretty modest improvement, as it's only doubling the order type!Grand goxxol{10,100 (2) 3}
Grand xappolplex{10,3,2 (2) 3}
Demperal{10,10 (2) 10}
Dugossol{10,10 (2) 100}
Goxbooxol{10,100 (2) 100}
Dugissol{10,10 (2) 100,2}
Dugassol{10,10 (2) 100,3}
Dugeesol{10,10 (2) 100,4}
Dugussol{10,10 (2) 100,5}
Infessal{10,10 (2) 10,10}
Dumossol{10,10 (2) 10,100}
Dubossol{10,10 (2) 10,10,100}
Dutrossol{10,10 (2) 10,10,10,100}
Duquadrossol{10,10 (2) 10,10,10,10,100}
Duquintossol{10,10 (2) 10,10,10,10,10,100}
Xapgoobol{10,10 (2)(1) 2}
Goxgoobol{10,100 (2)(1) 2}
Goxdubol{10,100 (2)(1)(1) 2}
Goxtriubol{10,100 (2)(1)(1)(1) 2}
Goxtetrubol{10,100 (2)(1)(1)(1)(1) 2}
Goxpentubol{10,100 (2)(1)(1)(1)(1)(1) 2}
Dueli-xappol{10,10 (2)(2) 2}
Dueli-goxxol{10,100 (2)(2) 2}
Dueli-xappolplex{10,3,2 (2)(2) 2}
Dueli-goxxolplex{10,{10,100 (2)(2) 2} (2)(2) 2}
Grand dueli-goxxol{10,100 (2)(2) 3}
Dueli-dugossol{10,10 (2)(2) 100}
Dueli-dumossol{10,10 (2)(2) 10,100}
Dimentri / Tritritri{3,3 (3) 2}Or {3,3,3(1)3,3,3(1)3,3,3(2)3,3,3(1)3,3,3(1)3,3,3(2)3,3,3(1)3,3,3(1)3,3,3} in full. This is a 3x3x3 cube of 27 3s and it's an unspeakable sized number in its own right. But it pales in comparison to the next numbers.Tritridecal{10,3 (3) 2}
Trioli-xappol{10,10 (2)(2)(2) 2}
Trioli-goxxol{10,100 (2)(2)(2) 2}
Quardildri-xappol{10,10 (2)(2)(2)(2) 2}
Quardildri-goxxol{10,100 (2)(2)(2)(2) 2}
Quindwifti-xappol{10,10 (2)(2)(2)(2)(2) 2}
Sexixti-xappol{10,10 (2)(2)(2)(2)(2)(2) 2}
Sebdi-xappol{10,10 (2)(2)(2)(2)(2)(2)(2) 2}
Ogdi-xappol{10,10 (2)(2)(2)(2)(2)(2)(2)(2) 2}
Novi-xappol{10,10 (2)(2)(2)(2)(2)(2)(2)(2)(2) 2}
Colossol{10,10 (3) 2}This colossal number is a 10x10x10 CUBE of 10’s! It's a horrendous sized number of order type w^w^3, and decomposing it leads to insane levels of recursion. It was formerly called colossal.Deki-xappol{10,10 (2)(2)(2)(2)(2)(2)(2)(2)(2)(2) 2}
Vigimti-xappol{10,10 (2)(2)(2)(2)(2)...(2)(2)(2)(2)(2) 2}There are 20 (2)'sTriginti-xappol{10,10 (2)(2)(2)(2)(2)...(2)(2)(2)(2)(2) 2}There are 30 (2)'sQuadraginti-xappol{10,10 (2)(2)(2)(2)(2)...(2)(2)(2)(2)(2) 2}There are 40 (2)'sQuinquaginti-xappol{10,10 (2)(2)(2)(2)(2)...(2)(2)(2)(2)(2) 2}There are 50 (2)'sSexaginti-xappol{10,10 (2)(2)(2)(2)(2)...(2)(2)(2)(2)(2) 2}There are 60 (2)'sSeptuaginti-xappol{10,10 (2)(2)(2)(2)(2)...(2)(2)(2)(2)(2) 2}There are 70 (2)'sOctoginti-xappol{10,10 (2)(2)(2)(2)(2)...(2)(2)(2)(2)(2) 2}There are 80 (2)'sNonaginti-xappol{10,10 (2)(2)(2)(2)(2)...(2)(2)(2)(2)(2) 2}There are 90 (2)'sColoxxol{10,100 (3) 2}Instead of just a 10x10x10 cube of 10’s, this is a 100x100x100 cube of a million 10s! Saibian coined this to have a number comparable to kubikahlah.Ceniti-xappol{10,10 (2)(2)(2)(2)(2)...(2)(2)(2)(2)(2) 2}There are 100 (2)'sGgggol{10,100 (3) 100}
Technical{10,10 (3) 10,10}
Terossol{10,10 (4) 2}A 10x10x10x10 tesseract of 10s! Tesseracts can be drawn by hand quite easily, but still quite mind-boggling to imagine. They aren’t too bad compared to higer dimensions. Anyway, solving this number would requitre solving 10 cubes, each bigger than the previous! Each cube would requite lots and lots of squares to solve, and lots more linear arrays just to decompose the squares! You’d end up with a vast linear array, and it’ll take a grueling number of steps to solve that into the final number!Dimentet / Quadritetratet{4,4 (4) 2}A 4x4x4x4 tesseract of 4s! Tesseracts can be drawn by hand quite easily, but still quite mind-boggling to imagine. They aren’t too bad compared to higer dimensions. Anyway, solving this number would requitre solving 10 cubes, each bigger than the previous! Each cube would requite lots and lots of squares to solve, and lots more linear arrays just to decompose the squares! You’d end up with a vast linear array, and it’ll take a grueling number of steps to solve that into the final number!Teroxxol{10,100 (4) 2}Instead of just 10 cubes, solving this would take 100 enormous cubes! Just imagining this boggles your mind greatly. But it pales in comparison to the insanity of tetrational arrays (seen in a bit).Gplexol{10,100 (4) 100}
Dimenpent{5,5 (5) 2}
Petossol{10,10 (5) 2}A 10^5 penteract of 10s. It requires solving multiple tesseracts, which in turn requires solving a mind-boggling number of cubes, and an even more mind-boggling number of squares, and rows, and we just can’t grasp how anyone would solve this! I suppose he still could, but at this point the computation is becoming abstract in itself.Petoxxol{10,100 (5) 2}
Gquitol{10,100 (5) 100}
Dimenhex{6,6 (6) 2}
Ectossol{10,10 (6) 2}A 10^6 hexeract of 10s! While we can draw tesseracts and penteracts quite eaily and still make them out, hexeracts and beyond will start to look like a mess even when mapped out by a computer program. The levels of decomposition needed to solve this are getting more and more horrendously huge.Ectoxxol{10,100 (6) 2}
Gsicknessol{10,100 (6) 100}
Zettossol{10,10 (7) 2}
Dimensept{7,7 (7) 2}
Zettoxxol{10,100 (7) 2}
Gupsetol{10,100 (7) 100}
Dimenoct{8,8 (8) 2}
Yottossol{10,10 (8) 2}
Yottoxxol{10,100 (8) 2}
Gblockol{10,100 (8) 100}
Dimenenn{9,9 (9) 2}
Ronnossol / Brontossol{10,10 (9) 2}
Ronnoxxol / Brontoxxol{10,100 (9) 2}
Gbrickol{10,100 (9) 100}
Dimendecal / Quettossol / Geopossol{10,10 (10) 2}
Quettoxxol / Geopoxxol{10,100 (10) 2}
Kilanossol / Bruntossol{10,10 (11) 2}
Dimenundecal{11,11 (11) 2}
Vundoxxol{10,100 (11) 2}
Meganossol / Aganossol{10,10 (12) 2}
Dimenduodecal{12,12 (12) 2}
Giganossol / Tredossol{10,10 (13) 2}
Dimentredecal{13,13 (13) 2}
Teranossol / Sortossol{10,10 (14) 2}
Dimentetradecal{14,14 (14) 2}
Petanossol / Rintossol{10,10 (15) 2}
Dimenpentadecal{15,15 (15) 2}
Exanossol / Quexossol{10,10 (16) 2}
Zettanossol / Peptossol{10,10 (17) 2}
Yottanossol / Ochossol{10,10 (18) 2}
Ronnanossol / Nenossol{10,10 (19) 2}
Vamossol / Enosossol / Amosossol{10,10 (20) 2}
Dimenicos{20,20 (20) 2}
Mingoxxol / Amosoxxol{10,100 (20) 2}
Tramossol{10,10 (30) 2}
Temossol{10,10 (40) 2}
Pemossol{10,10 (50) 2}
Hemossol{10,10 (60) 2}
Zemossol{10,10 (70) 2}
Yomossol{10,10 (80) 2}
Romossol{10,10 (90) 2}
Gongulus / Hotossol{10,10 (100) 2}
Kalossol{10,10 (1000) 2}Next serie: Gongulus Numbers

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