Tetratri

The tetratri is equal to {3,3,3,3} = 33 (3 powerexploded to 3) in BEAF. It can also be written 4 & 3, using the array of operator. The term was coined by Jonathan Bowers. It is larger than Graham's number and comparable to Sbiis Saibian's greegolthra-threxitris.
ARsygo coined great tritri for this number.AR Googol - Numbers from BEAF. Retrieved 2023-04-23.
Tetratri can be computed in 2-bracket operator notation using the following process:
* \(t_1 = 3\)
* \(t_2 = 3 \{\{ 3 \{\{ 3 \}\} 3 \}\} 3\)
* \(t_3 = 3 \{\{ 3 \{\{ 3 \{\{ \cdots \{\{ 3 \}\} \cdots \}\} 3 \}\} 3 \}\} 3\) with \(t_2\) 3's from center out.
* \(t_4 = 3 \{\{ 3 \{\{ 3 \{\{ \cdots \{\{ 3 \}\} \cdots \}\} 3 \}\} 3 \}\} 3\) with \(t_3\) 3's from center out.
* etc.
* Tetratri is \(t_{t_3}\).
==Etymology==
The name of this number is based on tetra- (four) and tri- (three), meaning that there are four 3's in the array.
== Approximations ==
== Sources ==
== See also ==
ja:テトラトリ
Category:Numbers
Category:Numbers by Jonathan Bowers
Category:Linear omega level
Category:4 entry linear
Category:Greek-based name
Category:BEAF
Category:Powers of 3