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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

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

Approximations

Notation Approximation
Bird's array notation \(\{10,10 [\text{gongulus}+1] 2\}\)
Cascading-E notation \(\textrm{E}10\#\text{^}\#\text{^}\#100\#2\)
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

  1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

See also

Gongulus group: gongulus(plex/duplex/triplex/quadraplex) · gingulus · gangulus · geengulus · gowngulus · gungulus
Bongulus group: bongulus · bingulus · bangulus · beengulus
Trongulus group: trongulus · quadrongulus · goplexulus · goduplexulus · gotriplexulus
Tiaokhiao's extensions: second gongulus · gagulus · gyngulus · bowngulus · · bongulusplex · bungulus · bagulus · byngulus · treengulus · trowngulus · trungulus · tragulus · tryngulus · quintongulus · sextongulus · septongulus · octongulus · giplexulus · goquadruplexulus · goquintiplexulus

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