FANDOM

10,502 Pages

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

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 $$E10\#\text{^}\#\text{^}\#100\#2$$
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

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.