The On-Line Encyclopedia of Bongard Problems

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BP8

Positioned right vs. positioned left.

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	COMMENTS	`Center of shape's x coordinate is higher than zero (where zero is the middle of the picture).` `All examples in this Bongard Problem are small shape outlines.` `This is the first Bongard Problem in which absolute positioning is relevant.` `Shapes close to the middle would be ambiguous.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 216.`
	CROSSREFS	`Adjacent-numbered pages: BP3 BP4 BP5 BP6 BP7 * BP9 BP10 BP11 BP12 BP13`
	KEYWORD	`easy, nice, dual, handed, leftright, boundingbox, finished, traditional, absoluteposition, bongard`
	CONCEPT	`absolute_position (info \| search),` `bounding_box (info \| search),` `coordinate (info \| search),` `left_right (info \| search)`
	WORLD	`small_outline [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP209

No objects are centered at the center of the box vs. one object is centered at the center of the box.

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	CROSSREFS	`Adjacent-numbered pages: BP204 BP205 BP206 BP207 BP208 * BP210 BP211 BP212 BP213 BP214`
	KEYWORD	`noisy, boundingbox, traditional, absoluteposition`
	CONCEPT	`bounding_box (info \| search),` `existence (info \| search),` `number (info \| search),` `center_bounding_box (info \| search),` `center (info \| search)`
	AUTHOR	`Giuseppe Insana`

BP243

Triangle closer to box corner than any of the circles vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP238 BP239 BP240 BP241 BP242 * BP244 BP245 BP246 BP247 BP248`
	KEYWORD	`notso, boundingbox, traditional, absoluteposition`
	CONCEPT	`bounding_box_corner (info \| search),` `length_line_or_curve (info \| search),` `near_far (info \| search),` `triangle (info \| search)`
	AUTHOR	`Matthew J. Howells`

BP257

The distance from the center of the line to the bottom of the square is the same as the distance from the dot to the right edge of the square vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP252 BP253 BP254 BP255 BP256 * BP258 BP259 BP260 BP261 BP262`
	KEYWORD	`convoluted, notso, boundingbox, traditional, absoluteposition`
	CONCEPT	`bounding_box (info \| search),` `length_line_or_curve (info \| search),` `midpoint (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `same_feature (info \| search),` `same (info \| search),` `distance_from_center (info \| search)`
	AUTHOR	`Andreas Gunnarsson`

BP312

Lines intersect within the box vs. lines intersect out of the box.

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	CROSSREFS	`Adjacent-numbered pages: BP307 BP308 BP309 BP310 BP311 * BP313 BP314 BP315 BP316 BP317`
	KEYWORD	`precise, allsorted, boundingbox, perfect, unorderedpair, traditional, preciseworld, absoluteposition`
	CONCEPT	`completed_out_of_box (info \| search),` `vertex_of_meeting_lines (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Jakub Štepo`

BP818

Dot's position within square is center of square's position within panel vs. not so.

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	COMMENTS	`All examples in this problem are dots inside square outlines.`
	CROSSREFS	`Similar to BP1122 (the "fractal" version).` `Adjacent-numbered pages: BP813 BP814 BP815 BP816 BP817 * BP819 BP820 BP821 BP822 BP823`
	KEYWORD	`nice, notso, boundingbox, absoluteposition`
	CONCEPT	`bounding_box (info \| search),` `self-reference (info \| search),` `center (info \| search),` `distance_from_center (info \| search)`
	WORLD	`point_inside_square [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

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`

BP1104

Vertically centered versus horizontally centered

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	COMMENTS	`It is easier to notice that the left examples are vertically centered than that the right examples are horizontally centered. - Aaron David Fairbanks, Dec 27 2022`
	CROSSREFS	`Adjacent-numbered pages: BP1099 BP1100 BP1101 BP1102 BP1103 * BP1105 BP1106 BP1107 BP1108 BP1109`
	KEYWORD	`easy, nice, precise, minimal, boundingbox, perfect, pixelperfect, traditional, finishedexamples, preciseworld, absoluteposition, unstableworld`
	CONCEPT	`center_bounding_box (info \| search),` `center (info \| search)`
	WORLD	`horizontal_line_segment [smaller \| same \| bigger]`
	AUTHOR	`Widad Dabbas`

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