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Visualization of primitolbiplex using up-arrow notation

Primitolbiplex is equal to s(3,4,2,2) in strong array notation.[1] It can be represented in chained arrow notation as \(3\rightarrow3\rightarrow4\rightarrow2\). In up arrow notation it is equal to \(3\uparrow\uparrow\cdots\uparrow\uparrow3\) with primitolplex arrows.


The name of this number is based on the prefix "bi-" and the number "primitolplex".


Notation Approximation
Bowers Exploding Array Function \(\{3,4,1,2\}\)
Hyper-E notation \(\textrm E2\#\#27\#3\)
Chained arrow notation \(3\rightarrow3\rightarrow4\rightarrow2\) (exact)
Hyperfactorial array notation \(((4!26)![1])![1]\)
Fast-growing hierarchy \(f_{\omega}(f_{\omega}(f_{28}(2)))\)
Hardy hierarchy \(H_{\omega^{\omega}3}(28)\)
Slow-growing hierarchy \(g_{\varphi(\varphi(\varphi(\omega^\omega,0),0),0)}(3)\)
@ notation \(3\uparrow^{3@3}3\)


See also

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