02/08/2020, 02:43 PM
(This post was last modified: 02/08/2020, 02:53 PM by sheldonison.)
(02/07/2020, 11:41 PM)Ember Edison Wrote: Hi.
How to get the photo like this https://math.eretrandre.org/tetrationfor...p?tid=1172 in fatou.gp?
I export the set of points to a .csv file; .csv is a comma separated file for spreadsheets. Then I import the .csv file into excel, and use excel's chart functions, "x-y scatter with smooth lines". chiStar1_excel
Then sometimes I overlay the excel output with fatou.gp MakeGraph color plot. This requires manually matching the size of the excel output so that it closely matches the size of the fatou.gp MakeGraph plot. chistar_contour.png
The tricky thing about making a picture of the chi-star is that it nearly overlaps itself an infinite number of times as each singularity goes to infinity an infinite number of different ways. Its not an easy thing to image. Here is the excel file for reference. chistar.xls
The chi-star is a beautiful object that forms the basis of Kneser's tetration/slog.
- Sheldon