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Exploring Pentation - Base e
#17
I tried few more spirals of the same type. When signs are varied at t in any place, they display interesting behaviour -some disapper, become point at coordinate beginning, few become scattered points in certain regions of argument t. For example this:

(t^(1/t))^(((((((1/t)^t)^((((((1/t)^t))^(((((-t^(1/t))^(((((1/t)^t)^(((t)^(1/t))^((1/t)^(t))))))))))))))))))

Is having Integral = 0 until 0,322Pi, then points are appearing which oscillating between close to 0 and close to 1 , and it stops at 4,4*pi. So software tries to sum these oscillating values , givin raise for the integral in the region up to 4,4*pi . Then it stops growing.

   
In polar coordinates(spiral) it has a point at origin and scatered points along segment of spiral.
   
May be my software can not calculate properly such long nested operations.
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Messages In This Thread
Exploring Pentation - Base e - by jaydfox - 12/18/2007, 02:57 PM
RE: Exploring Pentation - Base e - by andydude - 12/18/2007, 04:45 PM
RE: Exploring Pentation - Base e - by jaydfox - 12/19/2007, 06:01 AM
RE: Exploring Pentation - Base e - by Ivars - 01/28/2008, 11:01 AM
RE: Exploring Pentation - Base e - by Ivars - 02/02/2008, 05:05 PM
RE: Exploring Pentation - Base e - by Ivars - 02/02/2008, 10:50 PM
RE: Exploring Pentation - Base e - by GFR - 02/02/2008, 11:01 PM
RE: Exploring Pentation - Base e - by Ivars - 02/04/2008, 08:07 PM
RE: Exploring Pentation - Base e - by quickfur - 02/22/2008, 12:21 AM
RE: Exploring Pentation - Base e - by GFR - 02/04/2008, 09:19 PM
RE: Exploring Pentation - Base e - by Ivars - 02/05/2008, 11:25 PM
RE: Exploring Pentation - Base e - by GFR - 02/06/2008, 03:01 PM
RE: Exploring Pentation - Base e - by Ivars - 02/06/2008, 06:23 PM
RE: Exploring Pentation - Base e - by Ivars - 02/07/2008, 09:00 PM
RE: Exploring Pentation - Base e - by Ivars - 02/07/2008, 09:30 PM
RE: Exploring Pentation - Base e - by Ivars - 02/07/2008, 11:20 PM
RE: Exploring Pentation - Base e - by Ivars - 02/08/2008, 10:32 AM
RE: Exploring Pentation - Base e - by Ivars - 02/08/2008, 10:51 AM
RE: Exploring Pentation - Base e - by Ivars - 02/08/2008, 10:56 AM
RE: Exploring Pentation - Base e - by Ivars - 02/09/2008, 11:12 PM
RE: Exploring Pentation - Base e - by Ivars - 02/15/2008, 08:24 PM
RE: Exploring Pentation - Base e - by Ivars - 03/03/2008, 08:04 PM

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