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	`nice`
	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.

(edit; present; nest [left/right]; search; history)

	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.

(edit; present; nest [left/right]; search; history)

	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	`nice, math, traditional`
	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.

(edit; present; nest [left/right]; search; history)

	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.

(edit; present; nest [left/right]; search; history)

	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. a single quantity is changing.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP360 BP361 BP362 BP363 BP364 * BP366 BP367 BP368 BP369 BP370`
	KEYWORD	`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, 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.

(edit; present; nest [left/right]; search; history)

	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`

Choice that solves the analogy exists vs. choice that solves the analogy does not exist.

(edit; present; nest [left/right]; search; history)

	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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