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The guppyduplex is equal to 10101020 = E20#3 = EEE20 using Hyper-E notation.[1] The name was coined by Sbiis Saibian.

## Approximations in other notations

Notation Lower bound Upper bound
Arrow notation $$10\uparrow10\uparrow10\uparrow20$$
Down-arrow notation $$10\downarrow\downarrow\downarrow4$$ $$10\downarrow\downarrow\downarrow5$$
Steinhaus-Moser Notation 15[3][3][3] 16[3][3][3]
Copy notation 9[9[9[20]]] 1[1[1[21]]]
H* function H(33H(33H(5))) H(34H(34H(5)))
Taro's multivariable Ackermann function A(3,A(3,A(3,65))) A(3,A(3,A(3,66)))
BEAF {10,{10,{10,20}}}
Bashicu matrix system (0)(0)(1)[8] (0)(0)(1)[9]
Bird's array notation {10,{10,{10,20}}}
Hyperfactorial array notation ((20!)!)! ((21!)!)!
Strong array notation s(10,s(10,s(10,20)))
Fast-growing hierarchy $$f_{2}^3(62)$$ $$f_{2}^3(63)$$
Hardy hierarchy $$H_{\omega^23}(62)$$ $$H_{\omega^22}(63)$$
Slow-growing hierarchy $$g_{\omega^{\omega^{\omega^{\omega2}}}}(10)$$

## Sources

1. Saibian, Sbiis. Hyper-E Numbers. Retrieved 2016-07-14.

-minutia group
n-ary numbers with multipliers
Eyelash mite group: eyelash mite-speck · eyelash mite-crumb · eyelash mite-chunk · (binary/ternary/octal)eyelash mite · eyelash mite-bunch · eyelash mite-crowd · eyelash mite-swarm
Dust mite group: dust mite-speck · dust mite-crumb · dust mite-chunk · (binary/ternary/octal)dust mite · dust mite-bunch · dust mite-crowd · dust mite-swarm
Cheese mite group: cheese mite-speck · cheese mite-crumb · cheese mite-chunk · (binary/ternary/octal)cheese mite · cheese mite-bunch · cheese mite-crowd · cheese mite-swarm
Clover mite group: clover mite-speck · clover mite-crumb · clover mite-chunk · (binary/ternary/octal)clover mite · clover mite-bunch · clover mite-crowd · clover mite-swarm
Pipsqueak group: (binary/ternary/octal)pipsqueak
Little squeaker group: (binary/ternary/octal)little squeaker
Small fry group: (binary/ternary/octal)small fry
Guppy group: (binary/ternary/octal)guppyspeck · (binary/ternary/octal)guppycrumb · (binary/ternary/octal)guppychunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)guppy(bit/byte)
Minnow group: (binary/ternary/octal)minnowspeck · (binary/ternary/octal)minnowcrumb · (binary/ternary/octal)minnowchunk · (ternary)minnow(bit/byte)
Goby group: (binary/ternary/octal)gobyspeck · (binary/ternary/octal)gobycrumb · (binary/ternary/octal)gobychunk · (ternary)goby(bit/byte)