Shown is a box of this Bongard Problem (BP538) vs. not so.

Shown is a box of this Bongard Problem vs. not so.

Aaron David Fairbanks

All left examples are subworlds of "dotslike" and thus fit in left-BP849.

These are "worlds" with all the same qualities as dots (finite in number, only number and 2D position vary, there cannot be two with the same position, in bounding box), except varying in appearance.

Examples: "plusses" (all oriented the same), hollow dots, "bullseye" marks.

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

Any BP with one of these dotlike worlds can be translated into a BP with another dotlike world.

BPs that support examples from any of these have world "dotslike" (BP562). Note BP562 itself is not a left example because more information (style of dots) varies between allowed examples than position and number.

Metaworld MBPs that just are for reskinned versions of "dots" (BP536) vs. other metaworld MBPs.

Metaworld MBPs that just are for reskinned versions of "dots" (BP536) vs. other "metaworld" MBPs.

These are "worlds" with all the same qualities as dots (finite in number, only number and 2D position vary, there cannot be two with the same position, in bounding box), except varying in appearance.

Examples: "plusses" (all oriented the same), hollow dots, "bullseye" marks.

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

Any BP with one of these dotlike worlds can be translated into a BP with another dotlike world.

BPs that support examples from any of these have world "assorted_dotslike" (BP562). Note BP562 itself is not a left example because more information (style of dots) varies between allowed examples than position and number.

These are "worlds" with all the same qualities as dots (finite in number, only number and 2D position vary, there cannot be two with the same position, in bounding box), except varying in appearance.

Examples: "plusses" (all oriented the same), hollow dots, "bullseye" marks.

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

Any BP with one of these dotlike worlds can be translated into a BP with another dotlike world.

BPs that support examples from any of these have world "assorted_dotslike" (BP562). Note BP562 itself is not a left example because other things (style of dots) vary between allowed examples than position and number.

These are "worlds" with all the same qualities as dots (finite in number, only number and 2D position vary, there cannot be two with the same position, in bounding box), except varying in appearance.

Examples: "plusses" (all oriented the same), hollow dots, "bullseye" marks.

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

Any BP with one of these dotlike worlds can be translated into a BP with another dotlike world.

BPs that support examples from any of these have world "assorted_dotlike" (BP562). Note BP562 itself is not a left example because other things (style of dots) vary between allowed examples than position and number.

These are "worlds" with all the same qualities as dots (finite in number, only number and 2D position vary, there cannot be two with the same position, in bounding box), except varying in appearance.

Examples: "plusses" (all oriented the same), hollow dots, "bullseye" marks.

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

Any BP with one of these dotlike worlds can be translated into a BP with another dotlike world.

BPs that support examples from any of these have world "dotlike" (BP562). Note BP562 itself is not a left example because other things (style of dots) vary between allowed examples than position and number.

BP536

These are "worlds" with all the same qualities as dots (finite in number, only number and 2D position vary, there cannot be two with the same position, in bounding box), except varying in appearance.

Examples: "plusses" (all oriented the same), hollow dots, "bullseye" marks.

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

Any BP with one of these dotlike worlds can be translated into a BP with another dotlike world.

BPs that support examples from any of these have world "dotlike" (BP562). Note BP562 itself is not a left example because other things vary between allowed examples than position and number.

These are "worlds" with all the same qualities as dots (finite in number, only number and 2D position vary, there cannot be two with the same position, in bounding box), except varying in appearance.

Examples: "plusses" (all oriented the same), hollow dots, "bullseye" marks.

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

Any BP with one of these dotlike worlds can be translated into a BP with another dotlike world.

BPs that support examples from any of these have world "dotlike" (BP562).

These are "worlds" with all the same qualities as dots (finite in number, only number and 2D position vary, there cannot be two with the same position, in bounding box), except varying in appearance.

Examples: "plusses" (all oriented the same), hollow dots, "bullseye" marks.

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

Any BP with one of these dotlike worlds can be translated into a BP with another dotlike world.