Here is the image you get if you interpret the data as floats, consider the ratio of all possible pairs, and color those with a simple ratio blue.
The pattern of horrizontal and vertical lines in the top left corner is straightforward, those numbers are individually simple fractions, so their ratio is too. The main diagonal is just numbers having a simple 1:1 ratio with themselves. The shallower diagonal lines tell us something interesting.
The non_diagonal line that is closest to diagonal means some process must be refering back to values around 73% as far along as it ( xn is often a simple function of xm where m≈0.73n) but not exactly any particular constant. The line wiggles. The other lines are probably a reflection of this phenomena.
Here are the x,y coordinates of that shallow diagonal, if anyone wants to further process those.
Here is the image you get if you interpret the data as floats, consider the ratio of all possible pairs, and color those with a simple ratio blue.
The pattern of horrizontal and vertical lines in the top left corner is straightforward, those numbers are individually simple fractions, so their ratio is too. The main diagonal is just numbers having a simple 1:1 ratio with themselves. The shallower diagonal lines tell us something interesting.
The non_diagonal line that is closest to diagonal means some process must be refering back to values around 73% as far along as it ( xn is often a simple function of xm where m≈0.73n) but not exactly any particular constant. The line wiggles. The other lines are probably a reflection of this phenomena.
Here are the x,y coordinates of that shallow diagonal, if anyone wants to further process those.
https://github.com/DonaldHobson/Random-Files/blob/main/shallow_diag.csv
What are the values along that line.
Shows you multiply by 1⁄2, −1/2, 2 or −2.
These simple ratios are “always” ±2n, see my comment https://www.lesswrong.com/posts/dFFdAdwnoKmHGGksW/contest-an-alien-message?commentId=Nz2XKbjbzGysDdS4Z for a proposal that 0.73 is close to 2/e (which I am not completely convinced by).