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Tridecal is equal to $$\lbrace10,10,10 \rbrace$$, $$10\lbrace\lbrace1\rbrace\rbrace 2$$ or $$10\lbrace10\rbrace10$$ (10 dodecated to 10) in BEAF[1] or 3 & 10, using the array of operator. The term was coined by Jonathan Bowers.

Tridecal is the tenth Ackermann number.

The term "Infinity Scraper", defined by Jonathan Bowers, refers to any number larger than tridecal.

Sbiis Saibian gave this number another name, deka-endekaxis[2]

Aarex Tiaokhiao calls this number doclsol and is equal to s(10,10,1,2) = s(10,10,10) in strong array notation.[3]

## Contents

### Etymology

The name of this number is based on tri- (three) and decal- (ten), meaning that there are 3 10's in the array.

### Approximations in other notations

Notation Approximation
Up-arrow notation $$10 \uparrow^{10} 10$$ (exact value)
Chained arrow notation $$10 \rightarrow 10 \rightarrow 10$$ (exact value)
Hyperfactorial array notation $$12!9$$
Hyper-E Notation E1#1#1#1#1#1#1#1#1#10 (exact)
Strong array notation $$s(10,10,10) = s(10,10,1,2)$$ (exact)
Fast-growing hierarchy $$f_{11}(9)$$
Hardy hierarchy $$H_{\omega^{11}}(9)$$
Slow-growing hierarchy $$g_{\varphi(9,0)}(9)$$

### Sources

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

Saibian's power towers of 10s
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