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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.

In up-arrow notation, the number is equal to $$10 \uparrow^{10} 10 = 10 \uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow\uparrow 10$$.

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]

BlankEntity coined Void Stand for this number. [4]

### 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 $$g_{\varphi(9,0)}(9)$$

### See also

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) · diteral(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
RedBandServerYT's extensions: tridecalplex

Saibian's power towers of 10s
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