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Boogoltriplex is equal to {10,10,boogolduplex} in BEAF.[1] It is equal to 10↑↑...↑↑10 in arrow notation, where

there are boogolduplex ↑'s. The term was coined by Jonathan Bowers.

## Contents

### Etymology

The name of the number is based on Latin prefix "tri-" and the number "boogolplex".

### Approximations in other notations

Notation Approximation
Bird's array notation $$\{10,10,\{10,10,\{10,10,\{10,10,100\}\}\}\}$$ (exact)
Hyper-E notation $$\textrm E100\#\#100\#4$$
Chained arrow notation $$10 \rightarrow 10 \rightarrow (10 \rightarrow 10 \rightarrow (10 \rightarrow 10 \rightarrow (10 \rightarrow 10 \rightarrow 100)))$$ (exact)
Graham Array Notation $$[10,10,100,4]$$ (exact)
X-Sequence Hyper-Exponential Notation $$10\{X\}10\{X\}10\{X\}10\{X\}100$$ (exact)
Hyperfactorial array notation $$12!(12!(12!(12!(99)))$$
Fast-growing hierarchy $$f_\omega(f_\omega(f_\omega(f_\omega(101))))$$
Hardy hierarchy $$H_{(\omega^{\omega})4}(101)$$
Slow-growing hierarchy $$g_{\varphi(\varphi(\varphi(\varphi(99,0),0),0),0)}(100)$$

### 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