"Full overlapping not allowed" means you cannot overlay an image onto itself without moving it; if this were allowed all images would be sorted on the left. The copies can be moved around (translated) in 2D but can not be flipped or rotated.

There are examples on the right drawn with thick lines, and these could be created by copying an image with slightly thinner lines and moving it over a tiny amount. If you fix this issue by saying "the copy has to be moved over more than a tiny amount" then the Bongard Problem is @perfect but not @precise, but if you fix this issue by saying "interpret the figures as made up of (infinitesimally) thin lines" then it's @precise but not @perfect. - Aaron David Fairbanks, Jun 17 2023

"Full overlapping not allowed" means you cannot overlay an image onto itself without moving it; if this were allowed all images would be sorted on the left. The copies can be moved around (translated) in 2D but can not be flipped or rotated.

There are examples on the right drawn with thick lines, and these could be created by copying an image with slightly thinner lines and moving it over a tiny amount. It's interesting because if you fix this issue by saying "the copy has to be moved over more than a tiny amount" then the Bongard Problem is @perfect but not @precise, but if you fix this issue by saying "interpret the figures as made up of (infinitesimally) thin lines" then it's @precise but not @perfect. - Aaron David Fairbanks, Jun 17 2023

"Full overlapping not allowed" means you cannot overlay an image onto itself without moving it; if this were allowed all images would be sorted on the left. The copies can be moved around (translated) in 2D but can not be flipped or rotated.

There are examples on the right drawn with thick lines, and these could be created by copying an image with slightly thinner lines and moving it over a tiny amount. It's interesting because if you fix this issue by saying "the copy has to be moved over more than a tiny amount" then the Bongard Problem is @perfect but not @precise, but if you fix this issue by saying "interpret the images as made up of (infinitesimally) thin lines" then it's @precise but not @perfect. - Aaron David Fairbanks, Jun 17 2023

"Full overlapping not allowed" means you cannot overlay an image onto itself without moving it; if this were allowed all images would be sorted on the left. The copies can be moved around (translated) in 2D but can not be flipped or rotated.

There are examples on the right drawn with thick lines, and these could be created by copying an image with slightly thinner lines and moving it over a tiny amount. It's interesting because if you fix this issue by saying "the copy has to be moved over more than a tiny amount" then the Bongard Problem is @perfect but not @precise, but if you fix this issue by saying "imagine the images are made up of (infinitesimally) thin lines" then it's @precise but not @perfect. - Aaron David Fairbanks, Jun 17 2023

"Full overlapping not allowed" means you cannot overlay an image onto itself without moving it; if this were allowed all images would be sorted on the left. The copies can be moved around (translated) in 2D but can not be flipped or rotated.

There are examples here on the right drawn with thick lines, and these could be created by copying an image with slightly thinner lines and moving it over a tiny amount. It's interesting because if you fix this issue by saying "the copy has to be moved over more than a tiny amount" then the Bongard Problem is @perfect but not @precise, but if you fix this issue by saying "imagine the images are made up of (infinitesimally) thin lines" then it's @precise but not @perfect. - Aaron David Fairbanks, Jun 17 2023

Can be constructed using 2 identical copies of an image (full overlapping not allowed) vs. not so.

"full overlapping not allowed" means you can not perfectly overlay an image onto itself; if this were allowed all images would be sorted on the left. The copies can be moved around (translated) in 2D but can not be flipped or rotated.

"Non-trivial overlapping allowed" means you can not perfectly overlay an image onto itself; if this were allowed all images would be sorted on the left. The copies can be moved around (translated) in 2D but can not be flipped or rotated.

"Non-trivial overlapping allowed" means you can not perfectly overlay an image onto itself, if this were allowed all images would be sorted on the left. The copies can be moved around (translated) in 2D but can not be flipped or rotated.

"Non-trivial overlapping allowed" here means you can not perfectly overlay an image onto itself, if this were allowed all images would be sorted on the left. The copies can be moved around (translated) in 2D but can not be flipped or rotated.

Can be constructed using 2 identical copies of an image (non-trivial overlapping allowed) vs. not so.

"Non-trivial overlapping" here means you can not perfectly overlay an image onto itself, if this were allowed all images would be sorted on the left. The copies can be moved around (translated) in 2D but can not be flipped or rotated.

Leo Crabbe