Fancy K

(fancy K) is equal to \(10 \uparrow\uparrow\uparrow 10\) with arrow notation defined by in his lecture "God and Computer Science", which is part 6 in the "God and Computers" lecture series, which is transcribed in the book .Donald Knuth. Center for the Study of Language and Inf. 2001. p.171. ISBN 1-57586-326-X
Knuth explains how to expand \(10 \uparrow\uparrow\uparrow 10\) to the stacks of tens, saying that "It's such a huge number, I can't even write it down, but then we repeat the double-arrow operation again, getting an even huger number; and so on, until finally we get this thing evaluated. We can save space by calling the final result . (If you look with a magnifying glass you'll see that I have worked hard to make a very fancy K here; I couldn't just use an ordinary letter for such an immense quantity.)" After that, Knuth keeps calculating 
and calls \(10 \uparrow\uparrow\uparrow\uparrow 3\) as Super K.
Sbiis Saibian calls this number deka-taxis (formerly deka-teraksys) which is equal to E1#1#10 in Hyper-E Notation..
Aarex Tiaokhiao calls this number dagcol or beeiol.Part 1 (LAN) - Aarex Googology
Username5243 calls this number toodcol, goonoltrex or tetoodol, and it's equal to 10[3]10 = 10[3]10[1]1 = 10[4]2 in Username5243's Array Notation.Part 1 - My Large Numbers
ARsygo coined grand decker for this number.AR Googol - Numbers from BEAF. Retrieved 2022-11-10.
== Approximations in other notations ==
Notation 	Approximation
Hyper-E notation 	E1#1#10 (exact)
Chained arrow notation 	\(10 \rightarrow 10 \rightarrow 3\) (exact)
BEAF 	\(\{10,10,3\}\) (exact)
Hyperfactorial array notation	\(12!2\)
Fast-growing hierarchy 	\(f_4(9)\)
Hardy hierarchy 	\(H_{(\omega^3) 10}(10)\)
Slow-growing hierarchy 	\(g_{\zeta_0}(10)\)
== Sources ==
== See also ==
Category:Numbers
Category:Numbers with peer-reviewed source
Category:Numbers by Sbiis Saibian
Category:Hyper-E numbers
Category:Up-arrow notation level
Category:3 entry linear
Category:Greek-based name
Category:Pentation
Category:Toogol Regiment