The On-Line Encyclopedia of Bongard Problems

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Aesthetically pleasing vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP807 BP808 BP809 BP810 BP811 * BP813 BP814 BP815 BP816 BP817`
	KEYWORD	`easy, abstract, notso, stretch, anticomputer, subjective, invalid, experimental, funny, dithering`
	AUTHOR	`Aaron David Fairbanks`

Representations of natural mathematical objects vs. representations of arbitrary objects.

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	COMMENTS	`This is a very inexact definition. Some left examples arguably should be placed on the right, since the particular way they are represented is arbitrary--the Platonic solids EX6730 and primes EX6734 especially, as these show arbitrary placement and arrangement of objects. Furthermore if arbitrary representations are allowed one cannot be sure for example the right hand drawing of random numbers EX6740 does not represent "numbers" in general. Still this Bongard Problem has been solved by people.`
	CROSSREFS	`Adjacent-numbered pages: BP808 BP809 BP810 BP811 BP812 * BP814 BP815 BP816 BP817 BP818`
	KEYWORD	`fuzzy, abstract, stretch, math, solved, collective, experimental, dithering`
	AUTHOR	`Aaron David Fairbanks`

Cars vs. no cars

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	COMMENTS	`Based on Google reCaptcha human verification checks.`
	CROSSREFS	`Adjacent-numbered pages: BP839 BP840 BP841 BP842 BP843 * BP845 BP846 BP847 BP848 BP849`
	KEYWORD	`nice, teach, anticomputer, culture, color, experimental, funny`
	WORLD	`color_street_photograph [smaller \| same \| bigger]`
	AUTHOR	`Cameron Fetter`

Nothing vs. nothing.

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	CROSSREFS	`Adjacent-numbered pages: BP849 BP850 BP851 BP852 BP853 * BP855 BP856 BP857 BP858 BP859`
	KEYWORD	`left-finite, right-finite, left-full, right-full, finished, experimental, funny`
	WORLD	`nothing [same \| bigger] zoom in left (nothing) \| zoom in right (nothing)`
	AUTHOR	`Aaron David Fairbanks`

Black pixel vs. white pixel.

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	COMMENTS	`This is the "smallest" possible valid Bongard Problem on black and white bitmap images (up to switching sides).`
	CROSSREFS	`Adjacent-numbered pages: BP854 BP855 BP856 BP857 BP858 * BP860 BP861 BP862 BP863 BP864`
	KEYWORD	`minimal, blackwhite, perfect, pixelperfect, experimental, funny, unstableworld`
	WORLD	`black_or_white_pixel [smaller \| same \| bigger] zoom in left (black_pixel) \| zoom in right (white_pixel)`
	AUTHOR	`Aaron David Fairbanks`

Human faces vs. other images.

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	CROSSREFS	`Adjacent-numbered pages: BP857 BP858 BP859 BP860 BP861 * BP863 BP864 BP865 BP866 BP867`
	KEYWORD	`less, teach, anticomputer, culture, experimental`
	WORLD	`black_and_white_photograph [smaller \| same \| bigger] zoom in left (black_and_white_face_photograph)`
	AUTHOR	`Leo Crabbe`

Red shape vs. blue shape.

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	CROSSREFS	`Adjacent-numbered pages: BP906 BP907 BP908 BP909 BP910 * BP912 BP913 BP914 BP915 BP916`
	KEYWORD	`easy, dual, arbitrary, color, experimental`
	AUTHOR	`Aaron David Fairbanks`

Finite number of dots vs. infinite number of dots.

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	CROSSREFS	`Adjacent-numbered pages: BP910 BP911 BP912 BP913 BP914 * BP916 BP917 BP918 BP919 BP920`
	KEYWORD	`less, notso, spectrum, number, example, left-null, impossible, experimental`
	CONCEPT	`finite_infinite (info \| search)`
	WORLD	`dots [smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

Is exact specific image (EX6205) vs. is not.

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	COMMENTS	`A spot-the-difference exercise.` `Arguably invalid (solution not simple).`
	CROSSREFS	`Adjacent-numbered pages: BP915 BP916 BP917 BP918 BP919 * BP921 BP922 BP923 BP924 BP925`
	KEYWORD	`less, precise, convoluted, arbitrary, stretch, unstable, left-finite, left-full, perfect, pixelperfect, experimental, funny`
	CONCEPT	`imperfection_small (info \| search),` `specificity (info \| search)`
	WORLD	`bmp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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`

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