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The tethraduli-goddekathol is equal to E100(#^^#)^(#^^#*#^^#)10 using Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

## Etymology

The name of this number is based on the number tethragoddekathol and the Latin prefix "duo-", meaning 2.

## Approximations in other notations

Notation Approximation
BEAF $$\{100,100((X \uparrow\uparrow X)^2*X^{X^{X^{X^{X^{X^{X^{X^{X^X}}}}}}}}) 2\}$$[2]
Bird's array notation $$\{100,100 [1[1[1[1[1,2]2]2]2]2[1 \backslash 2]2 \backslash 2] 2\}$$
Fast-growing hierarchy $$f_{\varepsilon_0^{\varepsilon_0\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}}}}}}(100)$$
Hardy hierarchy $$H_{\varepsilon_0^{\varepsilon_0^{\varepsilon_0\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}}}}}}}(100)$$
Slow-growing hierarchy $$g_{\vartheta(\varepsilon_{\Omega2}^{\varepsilon_{\Omega 2}\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^\omega}}}}}}}}})}(100)$$

## Sources

1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2017-01-02.
2. Using particular notation $$\{a,b (A) 2\} = A \&\ a$$ with prime b.
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