Infinite tetration of the imaginary unit

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Infinite tetration of the imaginary unit

tommy1729 Offline

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#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

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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

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