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 Exploring Pentation - Base e Ivars Long Time Fellow Posts: 366 Threads: 26 Joined: Oct 2007 02/06/2008, 06:23 PM (This post was last modified: 02/07/2008, 08:54 PM by Ivars.) jaydfox Wrote:Note that if we flip this graph about the line y=x, we'll see the pentalog. There will be a logarithmic singularity at about x=1.850354529. We can calculate the base of the logarithm by dividing the differences of two consecutive pairs of integer pentates. Going out to -100 iterations, This yields a value of about 6.460671295681839390208370083. Just numerology: Can it be : pi*(e^(1/e))^2 = 6,55670879 and inverse 0,152516........? I have plotted all 8 "spirals " of the form 4 : ( +-t^+-1/t), 4: (+- 1/t)^+-(t) in polar coordinates and there are certainly interesting forms , crossing points, and regions. I do not know how to get image in here, but it is in the atachment. Attached Files Image(s) « Next Oldest | Next Newest »

 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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