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The gussolplex is equal to $$\{10,10 (1) \text{gussol},5\}$$ in BEAF.[1] The term was coined by Jonathan Bowers.

## Contents

### Etymology

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

### Approximations and exact values in other notations

Notation Approximation
Bird's array notation $$\{10,10 [2] \text{gussol},5\}$$ (exactly equal)
Cascading-E notation $$E100\#\text{^}\#*\#100\#\text{^}\#*\#100\#\text{^}\#*\#100\#\text{^}\#*\#100\#\text{^}\#*\#100\#2$$
Hyperfactorial Array Notation $$(100![1,[5],1,2])![1,[5],1,2]$$
Fast-growing hierarchy $$f_{(\omega^{\omega+1}) 5}(f_{(\omega^{\omega+1}) 5}(100))$$
Hardy hierarchy $$H_{(\omega^{(\omega^{\omega+1}) 5}) 2}(100)$$
Slow-growing hierarchy $$g_{\vartheta(\Omega^{\Omega+1}4+\Omega^\Omega\vartheta(\Omega^{\Omega+1}4+\Omega^\Omega\omega))}(100)$$

### Sources

1. Bowers, JonathanInfinity Scrapers. Retrieved January 2013.

Jonathan Bowers' googol series

Googol series: googol(plex/duplex/triplex/quadraplex/quinplex) · 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 · boggol · bagol
Troogol series: troogol(plex/duplex) · triggol(plex/duplex) · traggol(plex/duplex) · treegol · trigol · troggol · tragol
Quintoogol series: quintoogol(plex) · quintiggol · quintaggol · quinteegol · quintigol · quintoggol · quintagol · (sextoogol · septoogol · octoogol)
Goobol series: goobol(plex) · gibbol · gabbol · geebol · gibol · gobbol · gabol
Boobol series: boobol · bibbol · babbol · beebol · bibol · bobbol · babol
Troobol series: troobol · tribbol · trabbol