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Not to be confused with troogolplex.

Troggolplex is equal to {10,10,10,troggol,6} in BEAF.[citation needed] The term was coined by Chris Bird.

## Contents

### Etymology

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

### Approximations

Notation Approximation
Hyper-E notation $$\textrm E100\#\#\#100\#\#\#100\#\#\#100\#\#\#100\#\#\#100\#\#\#100\#2$$
Chained arrow notation $$100 \rightarrow_7 (100 \rightarrow_7 100)$$
Fast-growing hierarchy $$f_{(\omega^2) 6}(f_{(\omega^2) 6}(100))$$
Hardy hierarchy $$H_{(\omega^{(\omega^2) 6}) 2}(100)$$
Slow-growing hierarchy (with this system of fundamental sequences) $$g_{\varphi(5,99,\varphi(5,99,99,0),0)}(100)$$

### Sources

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