Googo-

Googo- is a prefix used in a system invented by Andre Joyce to create number names.Googology It was invented to give a retroactive meaning to googol (in this system, googo-l = \(100^{50} = 10^{100}\)).
== Usage ==
The basic concept of the googo- prefix:
* Convert a number n to Roman numerals.
* Take those numerals and apply the googo- prefix.
* The result is \((2n)^{n}\).
For example, a googocci is a googo- followed by cci. cci is 201, so a googocci is \((201 \cdot 2)^{201} = 402^{201}\).
== List ==
Googo-1 = Googoi
Googo-2 = Googoij
Googo-3 = Googoiji
Googo-4 = Googoiex
Googo-5 = Googoex
== Pronounceability ==
Improper Roman numerals, such as ic = 99 or vim = 994, are allowed for pronounceability's sake. The following substitutions are also allowed:
*ij for ii
*ox or iji for iii
*em or ump for m
*ex for x
*el for l
== Repdigits ==
If you need to use a Roman numeral for a number such as 3,333,333 or 888, you can use a Latin prefix followed by the Roman numeral for the repeated digit. So a googoquadrix \(= (\text{quadrix} \cdot 2)^{\text{quadrix}} = (4\ 9's \cdot 2)^{4\ 9's} = 19,998^{9,999}\).
== Bars ==
In Roman numerals, a bar placed over a numeral (except I) multiplies it by 1,000 (e.g. \(\overline{V} = 5,000\)). The equivalent in Joyce's system is the "-bar" suffix. So googovbar \(= 10,000^{5,000}\) and googoumpbar \(= 2,000,000^{1,000,000}\).
Multiple bars are allowed, producing so-called "barbarian numbers." A sequence of bars can be shortened using a Latin prefix: "barbarbarbar" is the same as "quadrabar."
== Alternative vowels and G-counts ==
The googo- prefix can be extrapolated to prefixes with different vowels and different numbers of G's. Using Ackermann's Generalized Exponential Notation:
:g-n-g[g]-m-r \(= g(n,r,g(m,r,g))\)
Where:
*n and m are integers ranging from 1 to 8. When placed in the word, they are transformed by the following key: o = 1, oo = 2, ee = 3, or = 4, ie = 5, i = 6, e = 7, and ei = 8.
*r is a Roman numeral as described above.
*g is the number of G's in the prefix. This can be either two or three, depending on whether an extra G (indicated by brackets) is included.
== Specific numbers ==
*126 is the largest number n, such that googo-n is smaller than a centillion.
**The has 126.
**It is also a in nuclear physics.
== Sources ==
== See also ==
*googoc
*googocci
*googol
*googolple-
 
Category:Prefixes
Category:Functions
Category:Numbers by André Joyce
Category:Googol series