Infinite tetration of the imaginary unit

Linear Mode

Infinite tetration of the imaginary unit

tommy1729 Offline

Ultimate Fellow

Posts: 1,924
Threads: 415
Joined: Feb 2009

#31

06/22/2011, 03:15 PM (This post was last modified: 06/22/2011, 03:25 PM by tommy1729.)

(06/21/2011, 11:19 PM)tommy1729 Wrote: @ sheldon : with superfunction , do you mean the regular superfunction expanded at the fixpoint ?

@ everyone : euh , why does 1.7129 i ^ 1.7129 i ^ ... ( 0.5 + 0.5 i) give a circle and what is its radius ?

well , the radius can be easily computed from two iterations by basic trigonometry ... but i wonder if there is something special about it ...

we have a new fundamental constant 1.7129... relating e , pi , i just like eulers e^pi i + 1 = 0 Wink

tommy1729

Website Find

« Next Oldest | Next Newest »

Messages In This Thread

Infinite tetration of the imaginary unit - by GFR - 02/10/2008, 12:09 AM

RE: Infinite tetration of the imaginary unit - by Ivars - 02/10/2008, 09:52 AM

RE: Infinite tetration of the imaginary unit - by GFR - 02/10/2008, 11:35 AM

RE: Infinite tetration of the imaginary unit - by Ivars - 02/10/2008, 01:28 PM

RE: Infinite tetration of the imaginary unit - by GFR - 02/10/2008, 08:53 PM

RE: Infinite tetration of the imaginary unit - by Ivars - 02/10/2008, 09:10 PM

RE: Infinite tetration of the imaginary unit - by Ivars - 02/14/2008, 08:25 PM

RE: Infinite tetration of the imaginary unit - by Ivars - 02/15/2008, 05:35 PM

RE: Infinite tetration of the imaginary unit - by Gottfried - 06/19/2011, 09:22 PM

RE: Infinite tetration of the imaginary unit - by sheldonison - 06/20/2011, 05:27 AM

RE: Infinite tetration of the imaginary unit - by Gottfried - 06/20/2011, 06:20 AM

RE: Infinite tetration of the imaginary unit - by Gottfried - 06/20/2011, 01:36 PM

RE: Infinite tetration of the imaginary unit - by sheldonison - 06/20/2011, 02:46 PM

RE: Infinite tetration of the imaginary unit - by Gottfried - 06/21/2011, 12:13 PM

RE: Infinite tetration of the imaginary unit - by sheldonison - 06/21/2011, 03:02 PM

RE: Infinite tetration of the imaginary unit - by Gottfried - 06/21/2011, 08:00 PM

RE: Infinite tetration of the imaginary unit - by Gottfried - 06/22/2011, 09:28 AM

RE: Infinite tetration of the imaginary unit - by sheldonison - 06/22/2011, 03:23 PM

RE: Infinite tetration of the imaginary unit - by Gottfried - 06/23/2011, 08:55 AM

RE: Infinite tetration of the imaginary unit - by sheldonison - 06/23/2011, 01:13 PM

solved -- they're called Siegel discs - by sheldonison - 06/23/2011, 06:10 PM

RE: Infinite tetration of the imaginary unit - by Gottfried - 06/20/2011, 06:11 AM

RE: Infinite tetration of the imaginary unit - by tommy1729 - 06/20/2011, 10:22 PM

RE: Infinite tetration of the imaginary unit - by sheldonison - 06/21/2011, 01:58 AM

RE: Infinite tetration of the imaginary unit - by tommy1729 - 06/21/2011, 11:19 PM

RE: Infinite tetration of the imaginary unit - by tommy1729 - 06/22/2011, 03:15 PM

RE: Infinite tetration of the imaginary unit - by tommy1729 - 06/22/2011, 12:25 PM

RE: Infinite tetration of the imaginary unit - by tommy1729 - 06/22/2011, 07:05 PM

RE: Infinite tetration of the imaginary unit - by Gottfried - 06/24/2011, 08:07 AM

RE: Infinite tetration of the imaginary unit - by tommy1729 - 06/24/2011, 12:25 PM

RE: Infinite tetration of the imaginary unit - by sheldonison - 06/24/2011, 04:36 PM

RE: Infinite tetration of the imaginary unit - by Gottfried - 06/24/2011, 09:44 PM

RE: Infinite tetration of the imaginary unit - by bo198214 - 06/26/2011, 08:06 AM

Possibly Related Threads…
Thread		Author	Replies	Views	Last Post
	self penta root and infinite hexation	Alex Zuma 2025	0	4,186	08/30/2025, 10:07 PM Last Post: Alex Zuma 2025
	another infinite composition gaussian method clone	tommy1729	2	5,073	01/24/2023, 12:53 AM Last Post: tommy1729
	Convergent Complex Tetration Bases With the Most and Least Imaginary Parts	Catullus	0	2,844	07/10/2022, 06:22 AM Last Post: Catullus
	Imaginary iterates of exponentiation	jaydfox	9	25,709	07/01/2022, 09:09 PM Last Post: JmsNxn
	Infinite tetration and superroot of infinitesimal	Ivars	129	341,181	06/18/2022, 11:56 PM Last Post: Catullus
	Interpolating an infinite sequence ?	tommy1729	14	17,463	06/17/2022, 10:41 PM Last Post: tommy1729
	Improved infinite composition method	tommy1729	5	10,392	07/10/2021, 04:07 AM Last Post: JmsNxn
	[repost] A nowhere analytic infinite sum for tetration.	tommy1729	0	6,086	03/20/2018, 12:16 AM Last Post: tommy1729
	Remark on Gottfried's "problem with an infinite product" power tower variation	tommy1729	4	17,196	05/06/2014, 09:47 PM Last Post: tommy1729
	Problem with infinite product of a function: exp(x) = x * f(x)f(f(x))...	Gottfried	5	22,055	07/17/2013, 09:46 AM Last Post: Gottfried

View a Printable Version

Users browsing this thread: 1 Guest(s)

Login
Username:
Password:	Lost Password?
	Remember me