Megiston

:"Megistron" redirects here. It is also an alternative name for octalogue.
Megiston is equal to ⑩ in circle notationHugo Steinhaus. Mathematical Snapshots Courier Corporation, 1999. ISBN 9780486409146 p.29, or 10 in a pentagon in Steinhaus-Moser notation. The name was coined by Hugo Steinhaus along with the mega in his book Mathematical Snapshots as "The reader may try to explain the 'Megiston' given by ⑩."
There is some confusion over the correct spelling of the number. Weisstein misspells it as megistronMegistron in a MathWorld entry, and Jonathan Bowers misspells it as megaston. Even more confusingly, "megistron" is also an alternate name for octalogue.
== Approximation ==
In up-arrow notation, megiston is between \(10 \uparrow\uparrow\uparrow 11\) and \(11 \uparrow\uparrow\uparrow 11\).Leonardıs, A., D'atrı, G. & Caldarola, F. (2022). Beyond Knuth's notation for unimaginable numbers within computational number theory. International Electronic Journal of Algebra, 31 (31), 55-73 . https://doi.org/10.24330/ieja.1058413 (Preprint)p.18 in preprint By using continuous arrow notation, \(11 \uparrow\uparrow\uparrow 11 \approx 10 \uparrow\uparrow\uparrow 11.00776\).
Therefore megistron is very closely approximated by \(f_4(10) \approx 10 \uparrow\uparrow\uparrow 11.00426\) using FGH.Fish. Approximation of FGH with arrow notation 2023-12-05. Googology Wiki user blog.
== Sources ==
== See also ==
*a-ooga
*mega
*Moser
ja:メジストロン
Category:Numbers
Category:Up-arrow notation level
Category:Hyper-Moser numbers
Category:Pentation
Category:Numbers with peer-reviewed source