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The quadreegol is equal to {10,10,10,10,100,4} in BEAF.[1] The term was coined by Chris Bird.

### Etymology

The name of the number is based on Latin prefix "quadri-" and the number "geegol".

### Approximations

Notation Approximation
Bird's array notation $$\{10,10,10,10,100,4\}$$ (exactly equal)
Hyper-E notation $$E100\#\#\#\#100\#\#\#\#100\#\#\#\#100\#\#\#\#100$$
Multivariable Ackermann A(4,0,0,0,100)
s(n) map $$s(4)^4[x+1](100)$$
m(n) map $$[m(3)^3m(2)]^4m(1)(100)$$
Fish function 5 $$F_5(4)$$
Fast-growing hierarchy $$f_{(\omega^3) 4}(100)$$
Hardy hierarchy $$H_{\omega^{(\omega^3) 4}}(100)$$
Slow-growing hierarchy $$g_{\varphi(3,99,99,99,0)}(100)$$

### Sources

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

Jonathan Bowers' googol series

Googol series: googol(plex/duplex/triplex/quadraplex) · giggol(plex/duplex) · gaggol(plex/duplex) · geegol(plex) · gigol(plex) · goggol(plex) · gagol(plex)
Boogol series: boogol(plex/duplex/triplex) · biggol(plex/duplex) · baggol(plex) · beegol(plex) · bigol(plex) · boggol(plex) · bagol(plex)
Troogol series: troogol(plex/duplex) · triggol(plex) · traggol(plex) · treegol(plex) · trigol(plex) · troggol(plex) · tragol(plex)