Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Attempting to compute the kslog numerically (i.e., Kneser's construction)
Before moving on, I wanted to zoom out on the graph of the chi function, to really show the fractal behavior.






Note that while my fractal "star" is finite in size and complexity, the true chi "star" grows more elaborate as we zoom further out, and grows to infinite size and complexity. Someday I might try to do better justice to this graph by taking it a few iterations further before performing several hundred iterations. As it is, the graphs here represent the detail from about 8 iterated logarithms, give or take, and they took over a day to assemble. I've already far exceeded the limits of machine precision and had to be a little clever to continue the graphs accurately.
~ Jay Daniel Fox

Messages In This Thread
RE: Attempting to compute the kslog numerically (i.e., Kneser's construction) - by jaydfox - 09/24/2009, 11:42 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  Kneser-iteration on n-periodic-points (base say \sqrt(2)) Gottfried 11 5,108 05/05/2021, 04:53 AM
Last Post: Gottfried
  fast accurate Kneser sexp algorithm sheldonison 38 117,973 01/14/2016, 05:05 AM
Last Post: sheldonison
  "Kneser"/Riemann mapping method code for *complex* bases mike3 2 10,291 08/15/2011, 03:14 PM
Last Post: Gottfried
  Attempt to make own implementation of "Kneser" algorithm: trouble mike3 9 24,857 06/16/2011, 11:48 AM
Last Post: mike3
  An incremental method to compute (Abel) matrix inverses bo198214 3 13,399 07/20/2010, 12:13 PM
Last Post: Gottfried

Users browsing this thread: 1 Guest(s)