The On-Line Encyclopedia of Bongard Problems

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Net (folding along edges can make a 3D solid) vs. not a net.

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	CROSSREFS	`Adjacent-numbered pages: BP366 BP367 BP368 BP369 BP370 * BP372 BP373 BP374 BP375 BP376`
	KEYWORD	`math`
	CONCEPT	`3d_net (info \| search),` `3d_solid (info \| search)`
	WORLD	`polygon_outlines_sharing_edges [smaller \| same \| bigger] zoom in left (polyhedron_net)`
	AUTHOR	`Aaron David Fairbanks`

Gluing sides with the same symbols makes a sphere vs. gluing sides with the same symbols makes a torus.

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	CROSSREFS	`Adjacent-numbered pages: BP365 BP366 BP367 BP368 BP369 * BP371 BP372 BP373 BP374 BP375`
	KEYWORD	`math`
	CONCEPT	`topological_transformation (info \| search),` `3d_solid (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

All points (small white circles) on one figure can be glued together to make the other figure vs. not so.

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	CROSSREFS	`See BP851 for a version where the figure must stay within the 2D plane and cannot pass through itself while being deformed.` `Adjacent-numbered pages: BP364 BP365 BP366 BP367 BP368 * BP370 BP371 BP372 BP373 BP374`
	KEYWORD	`math`
	CONCEPT	`topological_transformation (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	WORLD	`zoom in left (figure_made_of_curves_and_quotient_by_hollow_dots)`
	AUTHOR	`Aaron David Fairbanks`

There is a point that can see (in straight lines) all points vs. there is no point that can see (in straight lines) all points.

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	COMMENTS	`Left examples are called "star domains."`
	CROSSREFS	`See BP388 for whether a distinguished point can see all points.` `Adjacent-numbered pages: BP363 BP364 BP365 BP366 BP367 * BP369 BP370 BP371 BP372 BP373`
	KEYWORD	`nice, precise, unstable, perfect, traditional`
	CONCEPT	`all (info \| search),` `existence (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	WORLD	`shape [smaller \| same \| bigger] zoom in left (fill_shape_with_seeing_point)`
	AUTHOR	`Aaron David Fairbanks`

Center of mass within the black area of the shape vs. center of mass out of the black area of the shape.

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	CROSSREFS	`Adjacent-numbered pages: BP362 BP363 BP364 BP365 BP366 * BP368 BP369 BP370 BP371 BP372`
	KEYWORD	`precise, unstable, physics, perfect, pixelperfect, traditional`
	CONCEPT	`inside (info \| search),` `center_of_mass (info \| search)`
	WORLD	`shape [smaller \| same \| bigger] zoom in left (shape_center_of_mass_falls_inside)`
	AUTHOR	`Aaron David Fairbanks`

White dot is at center of mass vs. white dot is not at center of mass.

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	CROSSREFS	`Adjacent-numbered pages: BP361 BP362 BP363 BP364 BP365 * BP367 BP368 BP369 BP370 BP371`
	KEYWORD	`physics, traditional`
	CONCEPT	`center_of_mass (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Two independent quantities changing simultaneously vs. determined by just one changing quantity.

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	COMMENTS	`Examples sorted right may feature multiple quantities, but one changing quantity determines all changing quantities.` `The distinction between the two sides is fuzzy. For example the left-sorted example EX4364 could be viewed as determined by just the one changing quantity of width and the fact that the height is given by two times the width minus one. On the other hand the right-sorted example EX4370 could be viewed as determined by the two changing quantities number of black squares and number of white squares, ignoring the fact that the total number of squares is always six.`
	CROSSREFS	`Adjacent-numbered pages: BP360 BP361 BP362 BP363 BP364 * BP366 BP367 BP368 BP369 BP370`
	KEYWORD	`fuzzy, traditional, rules, miniworlds`
	CONCEPT	`size_increase_decrease (info \| search),` `tracing_line_or_curve (info \| search)`
	WORLD	`constant_change_seq_increase_right [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Two clearly separable groups vs. not so.

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	COMMENTS	`An image of this Bongard Problem will fit as a left example for itself.`
	CROSSREFS	`Adjacent-numbered pages: BP359 BP360 BP361 BP362 BP363 * BP365 BP366 BP367 BP368 BP369`
	KEYWORD	`nice, fuzzy, right-null, contributepairs, traditional, miniworlds`
	CONCEPT	`feature_cluster (info \| search),` `cluster (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Counterclockwise along the curve following the arrow vs. clockwise along the curve following the arrow.

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	CROSSREFS	`Adjacent-numbered pages: BP358 BP359 BP360 BP361 BP362 * BP364 BP365 BP366 BP367 BP368`
	KEYWORD	`easy, nice, dual, handed, leftright, updown, gap, traditional`
	CONCEPT	`arrow (info \| search),` `turn_orientation (info \| search),` `tracing_line_or_curve (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Image that solves the analogy exists vs. image that solves the analogy does not exist.

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	CROSSREFS	`Adjacent-numbered pages: BP357 BP358 BP359 BP360 BP361 * BP363 BP364 BP365 BP366 BP367`
	KEYWORD	`creativeexamples, assumesfamiliarity, structure, rules`
	CONCEPT	`analogy (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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