Bongard Problems such that if black and white are switched some examples switch sides vs. Bongard Problems that would always sort two switched versions the same way.

Bongard Problems such that if black and white are switched some example switches sides vs. Bongard Problems that would always sort two switched versions the same way.

Left examples have the keyword "pixelflip" on the OEBP.

All examples are visual Bongard Problems with world that allows some parts of the image to be filled in black and some parts of the image to be filled in white.

For Bongard Problems with "world" that allows either black background with white shapes or white background with black shapes, switching black and white means switching the colors of the background and foreground. For Bongard Problems that only allow filled-in-shapes and shape outlines, switching black and white means turning filled-in-black shapes into shape outlines and vice versa. For Bongard Problems with shapes that are partially black and partially white, switching black and white means re-coloring those shapes.

Bongard Problems such that if black and white are switched all examples switch sides vs. Bongard Problems that would sort both switched versions the same.

Bongard Problems such that if black and white are switched all examples switch sides vs. Bongard Problems that would sort both flipped versions the same.

All examples are visual Bongard Problems with world that allows some parts of the image to be filled in black and some parts of the image to be filled in white.

For Bongard Problems with "world" that allows either black background with white shapes or white background with black shapes, switching black and white means switching the colors of the background and foreground. For Bongard Problems that only allow filled-in-shapes and shape outlines, switching black and white means turning filled-in-black shapes into shape outlines and vice versa. For Bongard Problems with shapes that are partially black and partially white, switching black and white means re-coloring those shapes.

Bongard Problems that are flipped if black and white are switched vs. other Bongard Problems.

Whether colors are allowed to flip depends on the world of the Bongard Problem. For Bongard Problems with "world" that allows either black background with white shapes or white background with black shapes, switching black and white means switching the colors of the background and foreground. For Bongard Problems that only allow filled-in-shapes and shape outlines, switching black and white means turning filled-in-black shapes into shape outlines and vice versa. For Bongard Problems with shapes that are partially black and partially white, switching black and white means re-coloring those shapes.

Bongard Problems that are flipped if black and white pixels in panels are switched vs. other Bongard Problems

Leo Crabbe

All examples in this Problem are a number of dots.

The examples are all arranged in a way that makes it easy for a human to understand.

Square number vs. non-square number of dots

All examples in this Problem are a number of dots.

A single dot fits because 1 = 1*1.

A pair of dots does not fit because there is no integer x such that 2 = x*x.

Jago Collins