Highly iterated fractal vs. fractal after only few iterations.

Highly iterated fractal vs. fractal after only a couple of iterations.

Highly iterated fractal vs. fractal after only a few iterations.

Aaron David Fairbanks

"Simple" means smooth boundary except for discrete corners, finite number of holes. Usually "easy to draw."

A shape has left volume. A line segment is not a shape and a point is not a shape. "Fractals" (BP797) are not considered shapes here.

Assumed contained in bounding box.

The "world" of a Bongard Problem is the pattern that all examples, left and right, seem to together satisfy.

Thus for a BP to be a left example in this meta-BP, it must only include simple 2D shapes as examples, and there must be no other more specific simple pattern all examples satisfy.

BP791 is the version with holes allowed.

BP533 allows multiple of these.

Bongard Problems with "world" one simple connected black filled-in 2D shape without holes vs. other Bongard Problems.

Bongard Problems with "world" one simple connected filled-in 2D shape without holes vs. other Bongard Problems.

"Simple" means smooth boundary except for discrete corners, finite number of holes. Usually "easy to draw."

Assumed contained in bounding box.

The "world" of a Bongard Problem is the pattern that all examples, left and right, seem to together satisfy.

Thus for a BP to be a left example in this meta-BP, it must only include simple 2D shapes as examples, and there must be no other more specific simple pattern all examples satisfy.

Bongard Problems about simple single connected 2D shapes.

Aaron David Fairbanks

"Simple" means smooth boundary except for discrete corners, finite number of holes. Usually "easy to draw." Important: it is allowed to have holes in it.

Assumed contained in bounding box.

The "world" of a Bongard Problem is the pattern that all examples, left and right, seem to together satisfy.

Thus for a BP to be a left example in this meta-BP, it must only include simple 2D shapes as examples, and there must be no other more specific simple pattern all examples satisfy.

Bongard Problems with "world" one simple connected filled-in 2D shape vs. other Bongard Problems.

Bongard Problems with "world" one simple connected 2D shape vs. other Bongard Problems.