FANDOM


The tetratri is equal to {3,3,3,3} = 3{{{3}}}3 (3 powerexploded to 3), or {3,4 (1) 2} (3 bi-rowexponentiated to 4) in BEAF.[1] 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 grinningolthra.

Tetratri can be computed in 2-bracket operator notation using the following process:
File:Tetratri.jpg
  • \(t_1 = 3\)
  • \(t_2 = 3 \{\{ 3 \{\{ 3 \}\} 3 \}\} 3\)
  • \(t_3 = 3 \{\{ 3 \{\{ 3 \{\{ \cdots \{\{ 3 \}\} \cdots \}\} 3 \}\} 3 \}\} 3\) 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 \(t_{t_{t_\cdots1}}\), where there are \(t_{t_{t_1}}\) t's.

EtymologyEdit

The name of this number is based on tetra- (four) and tri- (three), meaning that there are four 3's in the array.

Sources Edit

  1. Template:Citation/CS1
Community content is available under CC-BY-SA unless otherwise noted.