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the tetentri (also called duprimibolplex) is equal to s(3,3,3,3) using strong array notation by Hyp cos.[1] 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).

## EtymologyEdit

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

## ApproximationsEdit

Notation Approximation
BEAF $$\{3,4,2,3\}$$
Hyper-E notation $$E2\#\#2\#\#(E(3)1\#1\#3)\#(E(3)1\#1\#3)\#2$$
Chained arrow notation $$3\rightarrow3\rightarrow3\rightarrow3\rightarrow3$$ (exact)
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 $$g_{\varphi(2,0,\varphi(2,0,\zeta_0))}(3)$$

## Sources Edit

1. Numbers from linear array notation | Steps Toward Infinity!

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
5-entry series
6-entry series