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Gongulusplex

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The gongulusplex is equal to \( \lbrace 10,10 (\text{gongulus}) 2 \rbrace \) in BEAF.[1] It is equivalent to solving a "gonguluseract" (a gongulus-dimensional hypercube) of 10s with side-length 10, and thus can be written (10gongulus) & 10, using the array of operator. The term was coined by Jonathan Bowers.

Etymology Edit

The name of this number is based on the suffix "-plex" and the number "gongulus".

Approximations Edit

Notation Approximation
Bird's array notation \(\{10,10 [\text{gongulus}+1] 2\}\)
Cascading-E notation \(E10\#\text{^}\#\text{^}\#100\#2\)
Hyperfactorial Array Notation \((100![1,1,2,2])![1,1,2,2]\)
Fast-growing hierarchy \(f_{\omega^{\omega^\omega}}(f_{\omega^{\omega^{100}}}(10))\)
Hardy hierarchy \(H_{(\omega^{\omega^{\omega^\omega}}) 2}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega^{\Omega^{\vartheta(\Omega^{\Omega^{99}\omega})}})}(10)\)

Sources Edit

  1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

See alsoEdit

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