All gears can make complete turns vs. not so.

See BP336 for one gear turns all.

Aaron David Fairbanks

Bongard Problems with "world" finitely many tiny black circles in 2D space vs. other Bongard Problems.

See BP893 for version without volume (not even filled circles).

See BP873 for outlined circles version.

Assumed contained in bounding box.

All that's relevant to solving these BPs is the number of objects in the box and the positions of those objects the box.

Two examples are considered "the same" when they have dots in all the same places. (For example, there is only one possible example that has just one dot in the center of the bounding box.)

There cannot be two dots occupying one point in space.

In appearance, "dots" are black filled-in circles all the same size. (They have left volume.)

Bongard Problems with "world" finitely many dots in 2D space.

Aaron David Fairbanks

Assumed contained in bounding box.

All that's relevant to solving these BPs is the number of objects in the box and the positions of those objects the box.

Two examples are considered "the same" when they have dots in all the same places. (For example, there is only one possible example that has just one dot in the center of the bounding box.)

There cannot be two dots occupying one point in space.