Big Number Central


Welcome to Big Number Central, the central hub page to all of my pages dealing with large numbers. New additions (Feb 2016) include Pententrical Arrays and Oblivion - also new content under Infinity Scrapers and minor updates under trientrical and tetrentrical arrays. Below are links to my various number pages:

Illion Numbers - This page lists the various numbers ending with -illion, starting with familiar numbers, through the large illions of Conway and Guy, and continuing with my own list which takes it past a googoltriplex.

Exploding Array Function - Last updated March 2008 This page deals my "Exploding Array Function" AKA - array notation - this is a function that generates some of the largest finite numbers known. Compare the old version which has 5 rules for only the simplest arrays with the newer version which has only 3 rules for any kind of array.

Infinity Scrapers - Last updated February 2016 This page will introduce some extremely outrageous sized numbers that make googolplex look pathetic. This page will introduce numbers such as tetratri, gongulus, kungulus, the big boowa, the big hoss and meameamealokkapoowa.

Oblivion - NEW !! Here is my attempt to fly past Rayo's number - and BIG FOOT.

Hypernomials - To help understand array structures that go beyond dimensional arrays, I introduce "hypernomials" - these take polynomials to the extremes.

Spaces - LOST DUE TO HARD DRIVE CRASH in May 2015 - AARRGGHH, I'll need to retype it!! This page lists out a variety of space structures and their prime blocks using a Jack in the Beanstalk analogy for the climbing method. It also compares them to the FGH. Pentational arrays landed at Gamma 0. It also introduced the prime block function: [f(X)]p = f([X]p). I had this page typed up to expandal arrays - then hard drive crashed.

Trientrical Arrays - Updated Feb. 2016 This page goes into detail on how array notation up to size three works, and this is powerful enough to keep up with the Ackermann function.

Tetrentrical Arrays - Updated Feb. 2016 This page continues with size four arrays, these are powerful enough to keep up with Conway's chained arrow notation.

Pententrical Arrays - NEW !! Get ready for the size five arrays. Now we are starting to blast off.


A list of higher order arrays, some may turn into webpages in the future:

Linear Arrays - Now for the arrays that can have any number of entries, all in a row. These are the arrays from size 6 to size X.

Ultra-Linear Arrays - Going into higher orders of linear array notation and the beginning of planar arrays. These are the arrays of size X+1.

Bilinear Arrays - Its starting to get scary folks - now the arrays are taking on two rows. The sizes are from X+2 to 2X.

Planar Arrays - It will deal with 2-D arrays - from size 2X+1 to X2.

Ultra-Planar Arrays - It will deal with arrays of size X2+1.

Biplanar Arrays - It will deal with two plane arrays from size X2+1 to size 2X2.

Realmic Arrays - It will deal with 3-D arrays - up to size X3.

Flunar Arrays - It will deal with 4-D arrays - up to size X4.

Dimensional Arrays - It will deal with the arrays of higher dimensions - up to size XX.

Ultra-Dimensional Arrays - It will deal with the arrays of size XX+1.

Hyper-Dimensional Arrays - It will deal with the arrays up to size XX+1.

Double-Dimensional Arrays - It will deal with the arrays up to size X2X.

Planensional Arrays - It will deal with the arrays up to size XX2.

Realmensional Arrays - It will deal with the arrays up to size XX3.

Super-Dimensional Arrays - It will deal with the arrays up to size XXX.

Trimensional Arrays - It will deal with the arrays up to size XXXX.

Quadramensional Arrays - It will deal with the arrays up to size X^^5.

Tetrational Arrays - It will deal with the arrays from size X^^5 to X^^X.

Ultra-Tetrational Arrays - It will deal with the arrays from size X^^X to X^^X|2.

Hyper-Tetrational Arrays - It will deal with the arrays from size X^^X|2 to X^^(X+1).

Double-Tetrational Arrays - It will deal with the arrays from size X^^(X+1) to X^^(2X).

Planotetrational Arrays - It will deal with the arrays from size X^^(2X) to X^^(X^2).

Realmotetrational Arrays - It will deal with the arrays from size X^^(X^2) to X^^(X^3).

Dimensotetrational Arrays - It will deal with the arrays from size X^^(X^3) to X^^(X^X).

Super Dimensotetrational Arrays - It will deal with the arrays from size X^^(X^X) to X^^(X^X^X).

Trimensotetrational Arrays - It will deal with the arrays from size X^^(X^X^X) to X^^X^^4.

Super Tetrational Arrays - It will deal with the arrays from size X^^X^^4 to X^^X^^X.

Pentational Arrays - It will deal with the arrays from size X^^X^^X to X^^^X.

Hexational Arrays - It will deal with the arrays from size X^^^X to X^^^^X.

Operational Arrays - It will deal with the arrays from size X^^^^X to {X,X,X}.

Expandal Arrays - It will deal with the arrays from size {X,X,X} to {X,X,1,2}.

Multiexpandal Arrays - It will deal with the arrays from size {X,X,1,2} to {X,X,2,2}.

Hyperexpandal Arrays - It will deal with the arrays from size {X,X,2,2} to {X,X,X,2}.

Explodal Arrays - It will deal with the arrays from size {X,X,X,2} to {X,X,X,3}.

Detonal Arrays - It will deal with the arrays from size {X,X,X,3} to {X,X,X,4}.

Tetrentational Arrays - It will deal with the arrays from size {X,X,X,4} to {X,X,X,X}.

Lineational Arrays - It will deal with the arrays from size {X,X,X,X} to {X,X (1) 2}.

Planeational Arrays - It will deal with the arrays from size {X,X (1) 2} to {X,X (2) 2}.

Realmational Arrays - It will deal with the arrays from size {X,X (2) 2} to {X,X (3) 2}.

Dimensational Arrays - It will deal with the arrays from size {X,X (3) 2} to X^X & X.

Tetratational Arrays - It will deal with the arrays from size X^X & X to X^^X & X.

Lineatational Arrays - It will deal with the arrays from size X^^X & X to X&X & X.

Legional Arrays - It will deal with the arrays from size X&X&X to X&X&X&.....forever......


Following are some links to other websites dealing with large numbers:

M. Rob's Large Number Site - Rob Munafo goes into detail about the various recursive functions that generate large numbers as well as various number classes.

Sbiis Saibian's Large Number Site - Sbiis Saibian goes into detail on the development of numbers, leading up into the larger domains.

Exploding Tree Function - H. S. Teoh describes his exploding tree function which grows very fast and is quite simple.


Created October 24, 2010. Last updated February 1, 2016

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