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Dodekalogue
100000.....00000    11

100000.....00000

100000.....00000
100000.....00000
10000000000
Dodekalogue in zeroes

Dodekalogue is equal to E1#12, using Hyper-E Notation.[1][2] The term was coined by Sbiis Saibian. In the up-arrow notation it can be written $$10 \uparrow\uparrow 12$$.

Binary198 calls this number alphagolplex, and it's equal to {10, 11, 1} in BIP-array Notation.[3]

## Etymology

The name of this number is based on Greek prefix "dodeka-" and the word "logarithm".

## Approximations in other notations

Notation Approximation or exact value
Up-arrow notation $$10 \uparrow\uparrow 12$$ (exact)
Chained arrow notation $$10 \rightarrow 12 \rightarrow 2$$ (exact)
BEAF $$\{10,12,2\}$$ (exact)
Hyperfactorial Array Notation $$14!1$$
Fast-growing hierarchy $$f_3(11)$$
Hardy hierarchy $$H_{(\omega^2) 11}(28)$$
Slow-growing hierarchy $$g_{\varepsilon_0}(12)$$