Googo- is a prefix used in a system invented by Andre Joyce to create number names.[1] 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 \((201 \cdot 2)^{201} = 402^{201}\).

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

Sources

See also

Googological affixes

Suffixes: -teen · -ty · -plex · -illion · -yllion · -exian · -chime · -toll · -gong · -bong · -throng · -illiob
Prefixes: gar- · fz- · fuga- · megafuga- · booga- · trooga- · googo- · googolple-
SI prefixes: deca- · hecto- · kilo- · mega- · giga- · tera- · peta- · exa- · zetta- · yotta-
Obsolete SI prefixes: myria-
Extended SI prefixes: 666 · 105 · 107 · 1027 · 1030 · 1033 · 1036 · 1039 · 1042 · 1045 · 1048 · 1051 · 1054 · 1057 · 1060 · 1063 · 1066 · 1069 · 1072 · 1075 · 1078 · 1081 · 1084 · 1087 · 1090 · 10100 · 10120 · 10150 · 10180 · 10210 · 10240 · 10270 · 10300 · 10600 · 10900 · 101200 · 101500 · 101800 · 102100 · 102400 · 102700 · 103000 and higher

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