Infinity Scrapers - page 2
These numbers are so big that they require Extended Array Notation to define them.
Emperal Group: This group includes the emperal and the emperalplex, they are defined as follows:
/10,10\
\10 / = emperal
/10, 10 \
\emperal / = emperalplex
Hyperal Group: This group includes hyperal and hyperalplex.
/10,10\
\10,10/ = hyperal
/10,10 \
\10,hyperal/ = hyperalplex
Dutritri and Dutridecal: These are VERY huge.
/3,3,3\
|3,3,3 | = dutritri
\3,3,3/
/10,10,10\
|10,10,10 | = dutridecal - YIKES!!
\10,10,10/
Xappol Group: This group includes the unspeakable xappol and xappolplex.
/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 | = xappol - YIKES!!!!!
|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| = xappolplex - this is a xappol by xappol array of 10's !!!
|..................................|
|..................................|
\10,10,10,10,..........,10/ getting BIG ain't they!, they are much worse than they look.
Dimension Three: Now for numbers that require 3-D arrays to define them.
Dimentri = 3 x 3 x 3 array of 3's
Colossal = 10 x 10 x 10 array of 10's
Colossalplex = colossal x colossal x colossal array of 10's
Unspeakable Sized Numbers: Be VERY afraid!!
Dimendecal = 10x10x10x10x10x10x10x10x10x10 array of 10's
Gongulus = 100 dimensional array of 10's (10^100 array that is) - SUPER YIKES !!
Gongulusplex = gongulus dimensional array of 10's (10^gongulus array).
Beyond the Unspeakable: These numbers require an even greater extension to my extended array notation - this time the notation isn't limited to multidimensional arrays, but also includes arrays beyond dimensional spaces themselves - like super dimensional arrays, trimensional arrays, spaces defined by tetration, pentation, and beyond -(for comparison,dimensions are defined by exponents (i.e. x^4)) - at present this extension is still being developed - but here are some numbers!
Dulatri = (3^3)^2 array of 3's - not to be confused with a 3^6 array or a 27^2 array - it is actually a 3-D "array" of 3-D arrays. The "array" is acting like a second "row" of dimensions - to help see this, consider a (3x3)x2 array - this is not a 3x6 array or a 9x2 array, but it is an array with 2 planes of 3x3 arrays - a 3x3x2 array.
Trimentri = 3^(3^3) array of 3's - in otherwords, a 3 tetrated to 3 array of 3's - this is actually a 1 "trimensional" array of 3's -a trimension is a dimension of dimension of dimensions. To help see this, let R represent a line (R for real numbers which is graphed like a line) - R^3 = 3 dimensions, R^R = R^R^1 - is 1 super dimension, R^R^4 = 4 super dimensions. R^R^R =R^R^R^1 = 1 trimension. R^R^R = R tetrated to 3 = {R,3,4}.
Goppatoth = 10 tetrated to 100 array of 10's - YIKES - also can be wrote as {10,100,4} array of 10's - see where I'm headed!
Goppatothplex = {10,goppatoth,4} array of 10's (notice that a gongulus is a {10,100,3} array of 10's).
Tridecatrix = {10,10,10} array of 10's - WHOA WAIT A MINUTE!! - a ten decated to ten array of tens! - YIKES!!
Golapulus = write out a gongulus in extended array notation - it is THAT ARRAY array of tens - in other words - a "10^100 array of 10's" array of 10's.
Golapulusplex = write out golapulus in superextended array notation - it is THAT ARRAY array of tens - in other words - a* "10^100 array of tens" array of tens* array of tens.
Beyond Golapulus: At this point, even the superextended array notation is now about to pop - its time for an even greaterextension - I'll call this higher extension - "Exploding Array Notation" - to show what happens - consider Xa,bX (using the X's as brackets) - a and b can be anything from numbers to superextended arrays) - Xa,1X = XaX = a - example: X{3,2,5},1X = X{3,2,5}X = {3,2,5} - Xa,2X = a array of base of a - example: X{3,3,3},2X = {3,3,3} array of 3's (3 is the base element of{3,3,3}) = 3^3 array of 3's = dutritri.
Xa,nX (n is an integer) = a array of a's array of a's array of a's ..... (n times).
X{10,100,3},1X = googol
X{10,100,3},2X = gongulus
X{10,100,3},3X = golapulus
X{10,100,3},4X = golapulusplex
X{10,100,3},golapulusX = golapulusplux
I hope the following don't get too confusing! - it starts going to new extremes WELL beyond superextended array notations - into many new levels of extended array notations, the rules are similar, but seriously expanded.
now consider X3,{3,3}X - not to be confused with X3,6X ({3,3} = 6) - I'll use X3,v{3,3}X - to show that {3,3} needs to beevaluated first, otherwise, the {3,3} is part of the active exploded array and is evaluated differently.
X3,{3,3}X = X3, {X3,{2,3}X ,2} X = X3, {X3, {X3,{1,3}X, 2} X, 2} X = X3, {X3,{3,2}X, 2} X
now solving for X3,{3,2}X = X3, {X3,{2,2}X,1} X = X3, {X3,{2,2}X} X = X3, {X3, {X3,{1,2}X} X} X = X3, {X3, {3}X} X = X3, {X3,3X} X - where X3,3X = X{3,3,3},2X = X A,1 X (A = 3^3 array of 3's). X A,1 X = X A X = dutritri. - so X3,{3,2}X = X3,dutritriX - uh oh!
so X3,{3,3}X = X3, {X3,dutritriX, 2} X - YIKES! - I call this number "the Big Boowa"
Now for X3,3,2X - this equals X{3,3,3},2,2X = X A, 1,2X = X3,A,1X = X3,AX - A is the array notation for dutritri.
Now for some REALLY BIG numbers, these are derived with similar rules but extended to utmost extremes, these ruleshave yet to be perfectly specified:
the Great Big Boowa = X3,3,3X
Bongulus = a 10^100 exploded array of 10's (within X X that is!!)
Wompogulus = 10^10 "100th level" exploded array of 10's - where array notation (includes extended and superextended) ({}) is 1st level, exploded array notation (X X) is 2nd level - this one is way out there - to the 100th level.
Wompogulusplex = 10^10 "wompogulusth level" exploded array of 10's!!, we can represent it this way # B, 100 # - where Bis a 10^10 array of 10's.
Guapamonga = 10^100 array of B's within "# #" !!!
Guapamongaplex = 10^100 array of B's within guapamonga-level "# #"