The On-Line Encyclopedia of Bongard Problems

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Shapes have equal area vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP930 BP931 BP932 BP933 BP934 * BP936 BP937 BP938 BP939 BP940`
	KEYWORD	`nice, precise, allsorted, unstable, left-narrow, perfect, pixelperfect, unorderedpair`
	CONCEPT	`area (info \| search)`
	WORLD	`2_fill_shapes [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP937

Shapes have equal perimeter vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP932 BP933 BP934 BP935 BP936 * BP938 BP939 BP940 BP941 BP942`
	KEYWORD	`precise, allsorted, unstable, left-narrow, perfect, unorderedpair`
	CONCEPT	`perimeter (info \| search)`
	WORLD	`2_fill_shapes [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP939

Optical illusions vs. not so.

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	COMMENTS	`Panels on the left hand side contain geometrical objects that appear distorted (to a human) due to surrounding information.`
	REFERENCE	`Vicente Sierra-Vázquez & Ignacio Serrano-Pedraza, Application of Riesz transforms to the isotropic AM-PM decomposition of geometrical-optical illusion images, April 2010, Figure 1.`
	CROSSREFS	`Adjacent-numbered pages: BP934 BP935 BP936 BP937 BP938 * BP940 BP941 BP942 BP943 BP944`
	KEYWORD	`fuzzy, anticomputer, subjective, contributepairs, invalid, experimental`
	CONCEPT	`length_line_or_curve (info \| search),` `visual_illusion (info \| search)`
	AUTHOR	`Leo Crabbe`

BP941

JPEG image vs. PNG image.

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	COMMENTS	`Evidently this solution is stretching the idea of what makes images "different". Each corresponding pair of panels would be parsed as identical in any other case. It is worth noting that if you view this Problem on a template, the solution no longer applies at all.`
	CROSSREFS	`Adjacent-numbered pages: BP936 BP937 BP938 BP939 BP940 * BP942 BP943 BP944 BP945 BP946`
	KEYWORD	`less, precise, dual, antihuman, contributepairs, invalid, experimental, funny`
	AUTHOR	`Leo Crabbe`

BP942

Square bounding box vs. oblong rectangular bounding box.

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

	CROSSREFS	`Adjacent-numbered pages: BP937 BP938 BP939 BP940 BP941 * BP943 BP944 BP945 BP946 BP947`
	KEYWORD	`precise, stretch, boundingbox, invalid, experimental, preciseworld`
	CONCEPT	`bounding_box (info \| search),` `square (info \| search)`
	WORLD	`rectangular_arrangement_of_white_pixels [smaller \| same \| bigger] zoom in left (square_arrangement_of_white_pixels) \| zoom in right (oblong_rectangular_arrangement_of_white_pixels)`
	AUTHOR	`Leo Crabbe`

BP944

Image of Bongard Problem that would sort ANY image of a valid Bongard Problem on one of its sides vs. image of Bongard Problem whose categorization of a BP image would depend on the solution or examples in it.

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

	COMMENTS	`"Any" here means any image of a Bongard Problem in the relevant format, i.e. with white background, black vertical dividing line, and examples in boxes on either side.` `All examples shown in this Problem clearly sort themselves on the left or right.` `A self-referential but maybe simpler solution is "would sort all examples in this whole Bongard Problem on one of its sides vs. not so." Users adding examples please try to maintain this: for any example you add to the right of this Bongard Problem, make sure it does not sort all the other examples in this Bongard Problem on just one of its sides. - Aaron David Fairbanks, Aug 26 2020`
	CROSSREFS	`Adjacent-numbered pages: BP939 BP940 BP941 BP942 BP943 * BP945 BP946 BP947 BP948 BP949`
	KEYWORD	`hard, challenge, presentationinvariant`
	WORLD	`boxes_bpimage_sorts_self [smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Jago Collins`

BP945

Cube number of dots vs. non-cube number of dots.

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	CROSSREFS	`Adjacent-numbered pages: BP940 BP941 BP942 BP943 BP944 * BP946 BP947 BP948 BP949 BP950`
	KEYWORD	`precise, allsorted, number, left-null, help, preciseworld`
	CONCEPT	`cube (info \| search)`
	WORLD	`dots [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP946

Can be constructed using 2 identical copies of an image (full overlapping not allowed) vs. not so.

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

	COMMENTS	`"Full overlapping not allowed" means you cannot overlay an image onto itself without moving it; if this were allowed all images would be sorted on the left. The copies can be moved around (translated) in 2D but can not be flipped or rotated.` `There are examples on the right drawn with thick lines, and these could be created by copying an image with slightly thinner lines and moving it over a tiny amount. If you fix this issue by saying "the copy has to be moved over more than a tiny amount" then the Bongard Problem is perfect but not precise, but if you fix this issue by saying "interpret the figures as made up of (infinitesimally) thin lines" then it's precise but not perfect. - Aaron David Fairbanks, Jun 17 2023`
	CROSSREFS	`Adjacent-numbered pages: BP941 BP942 BP943 BP944 BP945 * BP947 BP948 BP949 BP950 BP951`
	KEYWORD	`nice, notso, creativeexamples`
	AUTHOR	`Leo Crabbe`

BP948

Image of Bongard Problem such that pixel-inverting examples flips the solution vs. image of Bongard Problem such that pixel-inverting examples leaves the solution invariant.

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

	CROSSREFS	`See BP556 (keyword blackwhite) for the version with links to pages on the OEBP instead of images of Bongard Problems.` `Adjacent-numbered pages: BP943 BP944 BP945 BP946 BP947 * BP949 BP950 BP951 BP952 BP953`
	KEYWORD	`meta (see left/right), miniproblems, presentationinvariant`
	CONCEPT	`black_white_inversion (info \| search)`
	AUTHOR	`Leo Crabbe`

BP949

Two unique distances between points vs. three unique distances between points.

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

	CROSSREFS	`Adjacent-numbered pages: BP944 BP945 BP946 BP947 BP948 * BP950 BP951 BP952 BP953 BP954`
	KEYWORD	`nice, precise, allsorted, stretch, perfect, traditional, preciseworld`
	CONCEPT	`two (info \| search),` `three (info \| search)`
	WORLD	`3_or_4_points [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

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