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Minecraftplex (Not to be confused with Mineplex, a popular Minecraft server) is a large number named by Austin Hourigan in a video called "Minecraft DECODED! How Many Diamonds Exist? | The SCIENCE... of Minecraft".[1] It is equal to 1010215, or a 1 followed by 100 septuagintillion zeroes. It is 10215+1 digits long.

Writing down the full decimal expansion would take 100 octosexagintillion (10209) books of 400 pages each, with 2,500 digits on each page (except for the first, which would have 2,501).

History[]

Minecraft_DECODED!_How_Many_Diamonds_Exist?_The_SCIENCE..._of_Minecraft

Minecraft DECODED! How Many Diamonds Exist? The SCIENCE... of Minecraft

Hourigan invented this number while attempting to one-up MatPat's Marioplex (the number of possible, completable, and fun levels in the game Super Mario Maker) by calculating the number of different placements of blocks in every Minecraft world possible. The number first appears at the 15:08 timestamp.

Size[]

The only direct reference Hourigan gives to the size of the number is that it "can't actually be displayed on anything since it outnumbers the atoms in the universe by a fair amount". It is roughly equal to equations like ((10^10^100)^(10^100))^(10^15), a (googolplex^googol)^quadrillion, or even (marioplex^2,500,000,000)^(12431^15). The entire number in The English name of a number, is insanely long, just look.

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Approximations[]

Notation Lower bound Upper bound
Arrow notation \(10\uparrow10\uparrow215\)
Down-arrow notation \(10\downarrow\downarrow216\)
Chained arrow notation \(10\rightarrow(10\rightarrow215)\)
Steinhaus-Moser Notation 105[3][3] 106[3][3]
Copy notation 9[9[215]] 1[10[108]]
H* function H(33H(70)) H(34H(70))
Taro's multivariable Ackermann function A(3,A(3,712)) A(3,A(3,713))
Pound-Star Notation #*((1))*((160))*7 #*((1))*((161))*7
BEAF {10,{10,215}}
Hyper-E notation E215#2
Bashicu matrix system (0)(1)[26] (0)(1)[27]
Hyperfactorial array notation (126!)! (127!)!
Fast-growing hierarchy \(f_2(f_2(706))\) \(f_2(f_2(707))\)
Hardy hierarchy \(H_{\omega^22}(706)\) \(H_{\omega^22}(707)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{\omega^22+\omega+5}}}(10)\)

Gallery[]

Sources[]

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