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File:Corrected Tritet.png

The tritet is equal to \( \lbrace 4,4,4 \rbrace = 4 \lbrace4\rbrace 4 \) (4 hexated to 4) in BEAF.[1] The term was coined by Jonathan Bowers. This is the fourth Ackermann number.

Tritet can be computed in the following process:

  • \(a_1 = 4\)
  • \(a_2 = 4 \uparrow\uparrow 4 = 4 \uparrow\uparrow\uparrow 2\) (this is tritet Jr.)
  • \(a_3 = 4 \uparrow\uparrow a_2 = 4 \uparrow\uparrow\uparrow 3\)
  • \(a_4 = 4 \uparrow\uparrow a_3 = 4 \uparrow\uparrow\uparrow 4\)
  • etc.
  • Tritet is equal to \(a_{a_{a_4}}\).

EtymologyEdit

The name of this number is based on tri- (three) and tetra- (four), meaning that there are 3 4's in the array.

Sources Edit

  1. Template:Citation/CS1

See also Edit

  1. Tritet Jr.
  2. Tritri
  3. Ackermann Number
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