Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Regular "pentation"?
#3
(05/01/2010, 03:21 PM)tommy1729 Wrote: dear mike

the regular interval that you seek has been computed by andy.

its somewhere here on this forum.

Lazy boy!
Andrew gave a rough overview of the behavior of the higher operations here.

Due to the fact that (below identity) for and (above identity), tetration always (for every base) has a lower fixed point (I guess this is true for every even rank), which can be used for regular iteration giving a pentation (or the odd rank above).


Interesting question would indeed be for which bases pentation has a lower fixed point (but indeed I think this was computed already on the forum, perhaps do a search for pentation).
Reply


Messages In This Thread
Regular "pentation"? - by mike3 - 05/01/2010, 11:56 AM
RE: Regular "pentation"? - by tommy1729 - 05/01/2010, 03:21 PM
RE: Regular "pentation"? - by bo198214 - 05/01/2010, 08:54 PM
RE: Regular "pentation"? - by mike3 - 05/02/2010, 12:07 AM
RE: Regular "pentation"? - by andydude - 05/02/2010, 09:12 AM
RE: Regular "pentation"? - by Base-Acid Tetration - 05/02/2010, 11:29 PM
RE: Regular "pentation"? - by andydude - 05/03/2010, 02:54 AM
RE: Regular "pentation"? - by mike3 - 05/03/2010, 03:27 AM
RE: Regular "pentation"? - by andydude - 05/07/2010, 03:10 AM
RE: Regular "pentation"? - by andydude - 05/07/2010, 03:17 AM
RE: Regular "pentation"? - by mike3 - 05/07/2010, 06:07 AM

Possibly Related Threads...
Thread Author Replies Views Last Post
  pentation and hexation sheldonison 9 10,244 09/18/2019, 02:34 PM
Last Post: sheldonison
  Tetration is pentation. This deserve more thinking. marraco 2 4,044 03/30/2015, 02:54 PM
Last Post: marraco
  [2015] 4th Zeration from base change pentation tommy1729 5 6,730 03/29/2015, 05:47 PM
Last Post: tommy1729
  Mizugadro, pentation, Book Kouznetsov 41 52,656 03/02/2015, 08:13 PM
Last Post: sheldonison
  Regular iteration using matrix-Jordan-form Gottfried 7 9,560 09/29/2014, 11:39 PM
Last Post: Gottfried
  regular tetration base sqrt(2) : an interesting(?) constant 2.76432104 Gottfried 7 10,377 06/25/2013, 01:37 PM
Last Post: sheldonison
  regular iteration of sqrt(2)^x (was: eta as branchpoint of tetrational) JmsNxn 5 8,206 06/15/2011, 12:27 PM
Last Post: Gottfried
  Infinite Pentation (and x-srt-x) andydude 20 28,796 05/31/2011, 10:29 PM
Last Post: bo198214
Smile Pentation roots self but please you do... nuninho1980 2 7,423 11/03/2010, 12:54 PM
Last Post: nuninho1980
  closed form for regular superfunction expressed as a periodic function sheldonison 31 35,012 09/09/2010, 10:18 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)