Googology Wiki
Googology Wiki
No edit summary
Tag: Visual edit
(Adding categories)
(11 intermediate revisions by 2 users not shown)
Line 1: Line 1:
'''Megafugaeight''' is equal to \(8\uparrow\uparrow8\) or 8 tetrated to 8 or 8 [[Pentation|pentated]] to 2.<ref>{{cite web|first=Sbiis|last=Saibian|url=https://sites.google.com/site/largenumbers/home/3-2/2|title=The Fz, The Fuga & The Megafuga|accessdate=2017-03-10}}</ref> It is approximately equal to E15,151,336#6 in [[Hyper-E notation]].
+
'''Megafugaeight''' is equal to \(8\uparrow\uparrow8\) or 8 tetrated to 8 or 8 [[Pentation|pentated]] to 2.<ref>{{cite web|first=Sbiis|last=Saibian|url=https://sites.google.com/site/largenumbers/home/3-2/2|title=The Fz, The Fuga & The Megafuga|accessdate=2017-03-10}}</ref> It is approximately equal to \(E15,151,336\#6\) in [[Hyper-E notation]].
   
 
The name is formed by adding the [[megafuga-]] prefix to 8.
 
The name is formed by adding the [[megafuga-]] prefix to 8.
   
  +
== Approximations in other notations ==
  +
{| class="article-table" border="0" cellpadding="1" cellspacing="1"
  +
|-
  +
|[[Scientific notation]]
  +
|\(10^{10^{10^{10^{10^{5.431653 \times 10^{15,151,335}}}}}}\)
  +
|-
  +
|[[Arrow notation|Up-arrow notation]]
  +
|\(8 \uparrow\uparrow 8\), \(8 \uparrow\uparrow\uparrow 2\) (both exact)
  +
|-
  +
|[[BEAF]]
  +
|\(\{8,8,2\}\), \(\{8,2,3\}\) (both exact)
  +
|-
  +
|[[Hyper-E notation]]
  +
|\(E(8)1\#8\) (exact)
  +
|-
  +
|[[Fast-growing hierarchy]]
  +
|\(f^{7}_{2}(21)\)
  +
|-
  +
|[[Slow-growing hierarchy]]
  +
|\(g_{\varepsilon_{0}}(8)\) (exact)
  +
|-
  +
|[[Hardy hierarchy]]
  +
|\(H_{\omega^{2}7}(21)\)
  +
|}
 
== Sources ==
 
== Sources ==
 
<references />
 
<references />
Line 12: Line 36:
 
[[Category:Tetration level]]
 
[[Category:Tetration level]]
 
[[Category:3 entry linear]]
 
[[Category:3 entry linear]]
  +
[[Category:Megafuga-]]

Revision as of 05:26, 24 October 2019

Megafugaeight is equal to \(8\uparrow\uparrow8\) or 8 tetrated to 8 or 8 pentated to 2.[1] It is approximately equal to \(E15,151,336\#6\) in Hyper-E notation.

The name is formed by adding the megafuga- prefix to 8.

Approximations in other notations

Scientific notation \(10^{10^{10^{10^{10^{5.431653 \times 10^{15,151,335}}}}}}\)
Up-arrow notation \(8 \uparrow\uparrow 8\), \(8 \uparrow\uparrow\uparrow 2\) (both exact)
BEAF \(\{8,8,2\}\), \(\{8,2,3\}\) (both exact)
Hyper-E notation \(E(8)1\#8\) (exact)
Fast-growing hierarchy \(f^{7}_{2}(21)\)
Slow-growing hierarchy \(g_{\varepsilon_{0}}(8)\) (exact)
Hardy hierarchy \(H_{\omega^{2}7}(21)\)

Sources

  1. Saibian, Sbiis. The Fz, The Fuga & The Megafuga. Retrieved 2017-03-10.

See also

Gar-: garone · gartwo · garthree · garfour · garfive · garsix · garseven · gareight · garnine · garten · garhundred · garmillion · gargoogol · gareceton · gartrialogue · gargoogolplex · gargiggol
Fz-: fzone · fztwo · fzthree · fzfour · fzfive · fzsix · fzseven · fzeight · fznine · fzten · fztwenty · fzhundred · fzthousand · fzmillion · fzgoogol · fzmilliplexion · fzgoogolplex · fzgargoogolplex · fzgargantugoogolplex · fzgiggol
Fuga-: fugaone · fugatwo · fugathree · fugafour · fugafive · fugasix · fugaseven · fugaeight · fuganine · fugaten · fugahundred · fugagoogol · fugagoogolplex · fugagargoogolplex · fugagargantugoogolplex · fugagiggol
Megafuga-: megafugaone · megafugatwo · megafugathree · megafugafour · megafugafive · megafugasix · megafugaseven · megafugaeight · megafuganine · megafugaten · megafugahundred · megafugagoogol · megafugagoogolplex · megafugagargoogolplex · megafugagargantugoogolplex · megafugagrangol
Extensions:
Booga-:: boogaone · boogatwo · boogathree · boogafour · boogafive · boogasix · boogaten · boogahundred · boogagoogol · boogagoogolplex
Gag-:: gagone · gagtwo · gagthree · gagfour · gagfive · gagsix · gagseven · gageight · gagnine · gagten · gaggoogol · gaggoogolplex