The On-Line Encyclopedia of Bongard Problems

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White dot is at center of mass vs. white dot is not at center of mass.

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	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`

Three points on a straight line vs. no three points on a straight line.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 227.`
	CROSSREFS	`Adjacent-numbered pages: BP35 BP36 BP37 BP38 BP39 * BP41 BP42 BP43 BP44 BP45`
	KEYWORD	`noisy, finished, traditional, bongard`
	CONCEPT	`collinear (info \| search),` `three (info \| search),` `four (info \| search)`
	WORLD	`four_dots [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Triangle vs. quadrilateral.

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	COMMENTS	`All examples in this Problem are outlines of polygons or solid black polygons.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 215.`
	CROSSREFS	`BP1211 is "triangle vs. anything else".` `Adjacent-numbered pages: BP1 BP2 BP3 BP4 BP5 * BP7 BP8 BP9 BP10 BP11`
	KEYWORD	`easy, nice, precise, number, ignoreimperfections, finished, traditional, preciseworld, bongard`
	CONCEPT	`number (info \| search),` `triangle (info \| search),` `three (info \| search),` `four (info \| search)`
	WORLD	`Multiple options: polygon_outline_or_fill [smaller \| same \| bigger], triangle_or_quadrilateral_outline_or_fill [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Black is below upward slopes vs. black is below downward slopes.

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	CROSSREFS	`Adjacent-numbered pages: BP332 BP333 BP334 BP335 BP336 * BP338 BP339 BP340 BP341 BP342`
	KEYWORD	`nice, dual, handed, leftright, updown, blackwhite, traditional`
	CONCEPT	`above_below (info \| search),` `downward_upward (info \| search),` `outlined_filled (info \| search),` `texture (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Appears on its own right side vs. does not.

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	COMMENTS	`This was created as an example of a Bongard Problem that could include an image of a Bongard Problem with the same solution as itself but could not include the very image of itself (appearing within itself fractally).`
	CROSSREFS	`See also BP961, "appears on its own left side vs. appears on its own right side".` `Adjacent-numbered pages: BP1222 BP1223 BP1224 BP1225 BP1226 * BP1228 BP1229 BP1230 BP1231 BP1232`
	KEYWORD	`stub, precise, allsorted, notso, handed, leftright, example, perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Vertical axis of symmetry vs. no axis of symmetry.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 230.`
	CROSSREFS	`BP152 is the same solution (with the sides switched), using connected shapes and without black filling.` `BP1206 was created to be a slightly different version of this: "vertical axis of symmetry vs. no vertical axis of symmetry." (That less specific solution fits this Bongard Problem as well.)` `Adjacent-numbered pages: BP45 BP46 BP47 BP48 BP49 * BP51 BP52 BP53 BP54 BP55`
	KEYWORD	`nice, stretch, left-narrow, finished, traditional, bongard`
	CONCEPT	`symmetry_axis (info \| search),` `symmetry (info \| search)`
	WORLD	`curves_and_fill_shapes_separate_drawing [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Evokes the idea of symmetry vs. not so.

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	COMMENTS	`Or, perhaps more concretely, "Depiction of object with some symmetry (invariance under transformation) vs. depiction of object with no simple symmetries."`
	CROSSREFS	`Adjacent-numbered pages: BP842 BP843 BP844 BP845 BP846 * BP848 BP849 BP850 BP851 BP852`
	KEYWORD	`nice, fuzzy, abstract, math, concept, collective, dithering`
	CONCEPT	`symmetry (info \| search)`
	AUTHOR	`Leo Crabbe`

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`

Angle divided in half vs. angle not divided in half.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 239.`
	CROSSREFS	`Adjacent-numbered pages: BP72 BP73 BP74 BP75 BP76 * BP78 BP79 BP80 BP81 BP82`
	KEYWORD	`nice, notso, stretch, finished, traditional, bongard`
	CONCEPT	`angle (info \| search),` `half (info \| search),` `same_feature (info \| search),` `same (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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	`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`

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