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The dupertri is equal to {3,tritri (1) 2} = $$\{\underbrace{3,3,3,...,3,3,3}_{\text{tritri } 3's}\}$$ in BEAF.[1] It is tritri-sized linear array of 3's and can be written as tritri & 3, using the array of operator. The term was coined by Jonathan Bowers.

### Approximations and exact values in other notations  Edit

Notation Approximation
Bird's array notation $$\{3,3,2 [2] 2\}$$ (exactly equal)
Cascading-E notation $$3\#\text{^}\#3\#3$$
Hyperfactorial array notation $$3![2,1,1,2]$$
X-Sequence Hyper-Exponential Notation $$3\{X^X+1\}3$$
Fast-growing hierarchy $$f_{\omega^{\omega}+1}(2)$$
Hardy hierarchy $$H_{\omega^{\omega^{\omega}+1}}(2)$$
Slow-growing hierarchy $$g_{\vartheta(\Omega^{\vartheta(\Omega^{\omega})})}(2)$$

### Sources Edit

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

Tritri series: tritri · tritet · tripent · trisept · tridecal · grand tridecal
Tetratri series: tetratri · supertet · general(plex)
Pentatri series: pentatri · superpent · pentadecal(plex)
Hexatri series: hexatri · superhex · hexadecal(plex)
Heptatri series: heptatri · supersept · heptadecal
Iteral series: superoct · octadecal · superenn · ennadecal · iteral · ultatri
Dupertri series: dupertri · duperdecal · truperdecal · quadruperdecal
Latri series: latri · emperal(plex) · hyperal(plex) · admiral
Dutritri series: dutritri · dutridecal
Dimentri series: dimentri · dulatri · trilatri · trimentri
Triakulus series: triakulus · tridecatrix
Big boowa series: big boowa · great big boowa · grand boowa
Tiaokhiao's extensions: trihex · trioct · triennet · triundecal · tridodecal · tritriplex · tritriplexian · grand tritri · tetrapent · tetrahex · grand tetratri · octatri · enneatri · decatri · undecatri · dodecatri