The On-Line Encyclopedia of Bongard Problems

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BP157

White background vs. black background.

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	CROSSREFS	`Adjacent-numbered pages: BP152 BP153 BP154 BP155 BP156 * BP158 BP159 BP160 BP161 BP162`
	KEYWORD	`dual, boundingbox, blackwhite, traditional, bordercontent`
	CONCEPT	`background (info \| search),` `bounding_box (info \| search),` `outlined_filled (info \| search),` `texture (info \| search)`
	WORLD	`zoom in left (curves_and_fill_shapes_drawing)`
	AUTHOR	`Harry E. Foundalis`

BP210

Part of at least one object is out of box vs. all objects are within the box.

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	COMMENTS	`Alternatively, "black touches the boundary vs. not".`
	CROSSREFS	`Adjacent-numbered pages: BP205 BP206 BP207 BP208 BP209 * BP211 BP212 BP213 BP214 BP215`
	KEYWORD	`precise, boundingbox, perfect, pixelperfect, traditional, bordercontent`
	CONCEPT	`completed_out_of_box (info \| search),` `existence (info \| search)`
	AUTHOR	`Giuseppe Insana`

BP211

More black than white vs. more white than black.

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	CROSSREFS	`See BP196 for a version of this Problem restricted to uniform textures.` `Adjacent-numbered pages: BP206 BP207 BP208 BP209 BP210 * BP212 BP213 BP214 BP215 BP216`
	KEYWORD	`easy, nice, spectrum, dual, blackwhite, unstable, right-null, perfect, pixelperfect, traditional, continuous, viceversa, bordercontent`
	CONCEPT	`outlined_filled (info \| search),` `size (info \| search),` `texture (info \| search)`
	WORLD	`bmp [smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Giuseppe Insana`

BP321

Small round object unreachable from the border of the box vs. small round object reachable from the border of the box.

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	COMMENTS	`Equivalently, "small round object enclosed by white loop vs. not so."`
	CROSSREFS	`Adjacent-numbered pages: BP316 BP317 BP318 BP319 BP320 * BP322 BP323 BP324 BP325 BP326`
	KEYWORD	`nice, precise, allsorted, boundingbox, perfect, pixelperfect, traditional, bordercontent`
	CONCEPT	`bounding_box (info \| search),` `path (info \| search),` `reachable (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP806

Image of repeating wallpaper with only 3-fold rotational symmetries versus image of repeating wallpaper with some other symmetries.

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	COMMENTS	`Left examples have wallpaper symmetry group p3 (a.k.a. 333).`
	CROSSREFS	`Adjacent-numbered pages: BP801 BP802 BP803 BP804 BP805 * BP807 BP808 BP809 BP810 BP811`
	KEYWORD	`nice, math, bordercontent`
	CONCEPT	`rotational_symmetry (info \| search),` `three (info \| search)`
	WORLD	`wallpaper [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP966

Even number of white regions vs. odd number of white regions.

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	COMMENTS	`See BP889 for the version in which the background doesn't count.`
	CROSSREFS	`Adjacent-numbered pages: BP961 BP962 BP963 BP964 BP965 * BP967 BP968 BP969 BP970 BP971`
	KEYWORD	`nice, boundingbox, number, right-null, perfect, pixelperfect, traditional, bordercontent`
	CONCEPT	`separated_regions (info \| search),` `even_odd (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP971

Left half has more black (less white) than right half versus vice versa.

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	COMMENTS	`A similar, but different, solution is "center of mass is on the left half vs. center of mass is on the right half."`
	CROSSREFS	`See BP972 for the version with examples rotated a quarter-turn.` `Adjacent-numbered pages: BP966 BP967 BP968 BP969 BP970 * BP972 BP973 BP974 BP975 BP976`
	KEYWORD	`nice, precise, spectrum, dual, handed, leftright, rotate, boundingbox, blackwhite, traditional, viceversa, absoluteposition, bordercontent`
	AUTHOR	`Aaron David Fairbanks`

BP972

Top half has more black (less white) than bottom half versus vice versa.

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	COMMENTS	`A similar, but different, solution is "center of mass is above the horizontal vs. center of mass is below the horizontal."`
	CROSSREFS	`See BP971 for the version with examples rotated a quarter-turn.` `Adjacent-numbered pages: BP967 BP968 BP969 BP970 BP971 * BP973 BP974 BP975 BP976 BP977`
	KEYWORD	`precise, spectrum, dual, handed, updown, boundingbox, blackwhite, traditional, viceversa, absoluteposition, bordercontent`
	AUTHOR	`Aaron David Fairbanks`

BP1008

The 26th from the left, 63rd from the top pixel is black versus white.

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	COMMENTS	`This is a typical kind of joke answer people give for Bongard Problems when they cannot find an answer.`
	CROSSREFS	`Adjacent-numbered pages: BP1003 BP1004 BP1005 BP1006 BP1007 * BP1009 BP1010 BP1011 BP1012 BP1013`
	KEYWORD	`less, dual, arbitrary, handed, leftright, updown, boundingbox, blackwhite, antihuman, right-null, perfect, pixelperfect, help, experimental, funny, absoluteposition, bordercontent`
	CONCEPT	`specificity (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1014

Shapes become thicker the farther they are from the top-left and bottom-right corners of bounding box vs. some other pattern in shape thickness based on position.

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

	REFERENCE	`https://studentweb.cs.wwu.edu/~tuora/aarontuor/computerscience/bongardproblems.html`
	CROSSREFS	`Adjacent-numbered pages: BP1009 BP1010 BP1011 BP1012 BP1013 * BP1015 BP1016 BP1017 BP1018 BP1019`
	KEYWORD	`handed, leftright, updown, rotate, boundingbox, bordercontent`
	CONCEPT	`size (info \| search)`
	AUTHOR	`Aaron Tuor`

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