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Tria-petaxis
100000.....00000    (Deka-taxis-1)-logue -1

100000.....00000

100000.....00000
100000.....00000
10000000000
Tria-petaxis in zeroes
The tria-petaxis (formerly tria-petaksys, also called dekataxia-taxis) is equal to E1#1#1#3 = E1#1#(E1#1#10) in Hyper-E Notation.[1] The term was coined by Sbiis Saibian. In up-arrow notation, this number is equal to $$10\uparrow\uparrow\uparrow\uparrow 3 = 10 \uparrow\uparrow\uparrow 10 \uparrow\uparrow\uparrow 10$$.

Username5243 calls this number toodcolplex or tetootol, and it's equal to 10[3]10[3]10 = 10[4]3 in Username5243's Array Notation.[2]

## Approximations in other notationsEdit

Notation Approximation
Up-arrow notation $$10 \uparrow\uparrow\uparrow\uparrow 3$$ (exact)
Chained arrow notation $$10 \rightarrow 3 \rightarrow 4$$ (exact)
BEAF $$\{10,3,4\}$$ (exact)
Hyperfactorial array notation $$5!3$$
Fast-growing hierarchy $$f_5(3)$$
Hardy hierarchy $$H_{(\omega^3) 3}(10)$$
Slow-growing hierarchy $$g_{\eta_0}(3)$$

## Sources Edit

1. Saibian, Sbiis. Hyper-E Numbers. Retrieved 2015-03-25.
2. Part 1 - My Large Numbers