Tetentri

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Tetentri (also called duprimibolplex) is equal to s(3,3,3,3) using strong array notation by Hyp cos. It is equal to 3→3→3→3→3 in chained arrow notation.

This number is also equal to s(3,3,1,4), s(3,1,1,5), s(3,3,1,1,2), s(3,1,1,2,2), s(3,1,1,1,1,2), or s(3,3{2}2).

Etymology

The name of this number is based on the suffix "-plex" and the number "duprimibol".

Approximations

Notation	Approximation
Bowers' Exploding Array Function	\(\{3,4,2,3\}\)
Chained arrow notation	\(3\rightarrow3\rightarrow3\rightarrow3\rightarrow3\) (exact)
Hyper-E notation	\(E2\#\#2\#\#(E(3)1\#1\#3)\#(E(3)1\#1\#3)\#2\)
Hyperfactorial array notation	\(((4!2)![2,2])![2,2]\)
Fast-growing hierarchy	\(f_{\omega2+1}(f_{\omega2+1}(f_4(2)))\)
Hardy hierarchy	\(H_{\omega^{\omega2+1}2+\omega^4}(2)\)
Slow-growing hierarchy	\(g_{\varphi(2,0,\varphi(2,0,\zeta_0))}(3)\)

See also

• Conway's Tetratri

Hyp cos' linear strong array notation numbers | exAN numbers ⇨

3-entry series

Tribo group: tribo · tetbo · pentbo · hexabo
Trientri group: trientri · tettro · pentro · hextro
Trientet group: triteto · trientet · penteto · hexteto
Trienpent group: tripeno · tetpeno · trienpent · hexpeno
Trienhex group: trihexo · tethexo · penhexo · trienhex

4-entry series

Primitol group: primitol · primitolplex · primitolbiplex · primitoltriplex · primitolquadriplex · primibol · primibolplex · primitrol · primitrolplex · primitetol · primitetolplex · primipenol · primipenolplex
Tetentri group: duprimitol · duprimitolplex · duprimibol · tetentri
Tetentet group: truprimitol · truprimitolplex · truprimibol · truprimibolplex · tetentet
Tetenpent group: quadprimitol · quadprimitolplex · quadprimibol · quadprimibolplex · tetenpent
Tetenhex group: quinprimitol · quinprimitolplex · quinprimibol · quinprimibolplex · tetenhex

5-entry series

Chainol group: chainol · chainolplex · chainolbiplex · chainoltriplex · chainolquadriplex · chainbol · chainbolplex · chaintrol · chaintrolplex
Chainprimol group: chainprimol · chainprimolplex · chainpribol · chainpribolplex · chainduprimol · chainduprimolplex · chaindupribol · chaindupribolplex · chaintruprimol · chaintruprimolplex · chaintrupribol · chaintrupribolplex
Pententri group: duchainol · duchainolplex · duchainbol · duchainbolplex · duchainprimol · duchainprimolplex · duchainpribol · duchainpribolplex · duchainduprimol · duchainduprimolplex · duchaindupribol · pententri
Pententet group: truchainol · truchainolplex · truchainbol · truchainbolplex · truchainprimol · truchainprimolplex · truchainpribol · truchainpribolplex · truchainduprimol · truchainduprimolplex · truchaindupribol · truchaindupribolplex · pententet · pentenpent · pentenhex

6-entry series

Choinol group: choinol · choinolplex · choinalbiplex · choinbol · choinbolplex · choinprimol · choinprimolplex · choinpribol · choinpribolplex · choinduprimol · choinduprimolplex · choindupribol · choindupribolplex
Choichainol group: choichainol · choichainolplex · choichainbolplex · choichainpribolplex · choichaindupribolplex · choiduchaindupribolplex
Hexentri group: hexentri · hexentet · hexenpent · hexenhex