-plex

Primarily, the -plex suffix applied to the argument \(n\) represents the number \(10^n\). The definition was proposed by in a book "Mind tools"Rucker, Rudy v. B. Mind tools : the five levels of mathematical reality. Boston: Houghton Miffin, 1987. OCLC 9780395383155 in 1987 as a backformation of googolplex. More generally, this suffix has been used for other purposes, usually by iteratively calling a function which is implied for some large number.
Aarex Tiaokhiao coined the alternate term -noogol for this prefix.
\(10^{10^{n}}\) may be notated -plexplex or, more commonly, -duplex. Similarly, \(10^{10^{10^{n}}}\) is -triplex. In general, for a Latin prefix n, -n-plex means n copies of the -plex suffix.
\(10^{-n}\), conversely, is called n-minex (wordplay on plus = plex, so minus = minex), therefore the number 10-googol is called googolminex. Sbiis Saibian used the suffix -minutia for some of his numbers. For example a gogol-minutia is 10-50.
In the works of Jonathan Bowers, -plex has a more general and less formal definition: if a number n is \(f(10, 100)\) where \(f\) is some googological function, then n-plex is defined as \(f(10, n)\). For example, giggol = \(10\uparrow\uparrow 100\), and giggolplex is not \(10^{\text{giggol}} = 10 \uparrow \uparrow 101\) (which is called giggolunex) but is instead defined as \(10\uparrow\uparrow\text{giggol}\). There are some exceptions to this rule, for instance golapulusplex. Sbiis Saibian circumvents this subjective definition by defining new prefixes such as -dex and -threx. For his googolisms in Cascading-E and higher components of his system, he uses the word grand analogous to Bowers' usage of -plex (for example, grand tethrathoth).
Googology Wiki user Hyp cos uses -plex in yet another way. Before dimensol, if n = s(3,2,...), then n-plex = s(3,3,...), n-biplex = s(3,4,...), n-triplex = s(3,5,...) and n-quadriplex = s(3,6,...).https://stepstowardinfinity.wordpress.com/2015/07/24/lan-numbers/ (retrieved 2021-03-02)
The -plex suffix is also used to name large numbers that The Game Theorists calculate, such as Marioplex and Minecraftplex, usually addressing the number of combinations of a certain mechanic in a specific video game.
==Examples==
*oneplex = one + -plex = \(10^1\) = ten
*twoplex = two + -plex = \(10^2\) = one hundred
*threeplex = three + -plex = \(10^3\) = one thousand
*fourplex = four + -plex = \(10^4\) = ten thousand
*fiveplex = five + -plex = \(10^5\) = one hundred thousand
*sixplex = six + -plex = \(10^6\) = one million
*sevenplex = seven + -plex = \(10^7\) = ten million
*eightplex = eight + -plex = \(10^8\) = one hundred million
*nineplex = nine + -plex = \(10^9\) = one billion
*tenplex = ten + -plex = \(10^{10}\) = ten billion
==In googological notations==
Notation 	Expression
BEAF 	\(\{10, n\}\)
Bird's array notation 	\(\{10, n\}\)
Hyper-E notation 	\(En\)
Fast-growing hierarchy	Inbetween \(f_2(f_1(n))\) and \(f_2(f_1^2(n))\)
Hardy hierarchy 	Inbetween \(H_{\omega^2+\omega}(n)\) and \(H_{\omega^2+\omega 2}(n)\)
Slow-growing hierarchy	\(g_{\omega^n}(10)\)
==Sources==
==See also==
*googol-(2, 3, 4, 5, 6, 7, 8, 9)-plex
*-minex
 
Category:Suffixes
Category:Numbers named by Milton Sirotta
Category:Numbers named by kids
Category:Exponential growth rate
ja:プレックス