The On-Line Encyclopedia of Bongard Problems

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Approximately triangular outline vs. approximately convex quadrilateral outline.

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	COMMENTS	`All examples in this Bongard Problem are shape outlines.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 217.`
	CROSSREFS	`Adjacent-numbered pages: BP5 BP6 BP7 BP8 BP9 * BP11 BP12 BP13 BP14 BP15`
	KEYWORD	`easy, fuzzy, noisy, number, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `three (info \| search),` `four (info \| search)`
	WORLD	`shape_outline [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Black figure is a triangle vs. black figure is a circle.

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	COMMENTS	`All small squares appearing in this problem are axis-aligned.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 222.`
	CROSSREFS	`Adjacent-numbered pages: BP20 BP21 BP22 BP23 BP24 * BP26 BP27 BP28 BP29 BP30`
	KEYWORD	`noisy, finished, traditional, bongard`
	CONCEPT	`outlined_filled (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `texture (info \| search),` `triangle (info \| search)`
	WORLD	`circle_square_eq-tri_small_outlines_one_fill [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Triangle above circle vs. circle above triangle.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 226.`
	CROSSREFS	`Adjacent-numbered pages: BP32 BP33 BP34 BP35 BP36 * BP38 BP39 BP40 BP41 BP42`
	KEYWORD	`noisy, spectrum, finished, traditional, continuous, viceversa, bongard`
	CONCEPT	`above_below (info \| search),` `triangle (info \| search),` `quantity_comparison (info \| search)`
	WORLD	`one_circle_one_square_one_eq-tri_small_outlines [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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`

Points inside the figure outline are on a straight line vs. points inside the figure outline are not on a straight line.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 227.`
	CROSSREFS	`Adjacent-numbered pages: BP37 BP38 BP39 BP40 BP41 * BP43 BP44 BP45 BP46 BP47`
	KEYWORD	`noisy, finished, traditional, bongard`
	CONCEPT	`collinear (info \| search),` `interior_exterior (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search)`
	WORLD	`dots_and_outline_three_are_nested [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Solid dark figures above the outline figures vs. outline figures above the solid dark figures.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 229.`
	CROSSREFS	`Adjacent-numbered pages: BP43 BP44 BP45 BP46 BP47 * BP49 BP50 BP51 BP52 BP53`
	KEYWORD	`noisy, finished, traditional, viceversa, bongard`
	CONCEPT	`above_below (info \| search),` `average (info \| search),` `outlined_filled (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `texture (info \| search)`
	WORLD	`circle_square_eq-tri_small_some_outline_some_fill [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Solid dark quadrangles are identical vs. solid dark quadrangles are different.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 233.`
	CROSSREFS	`Adjacent-numbered pages: BP53 BP54 BP55 BP56 BP57 * BP59 BP60 BP61 BP62 BP63`
	KEYWORD	`noisy, finished, traditional, bongard`
	CONCEPT	`identical (info \| search),` `outlined_filled (info \| search),` `square (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `same_shape (info \| search),` `same (info \| search),` `texture (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Some similar figures vs. no similar figures.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 233.`
	CROSSREFS	`Adjacent-numbered pages: BP55 BP56 BP57 BP58 BP59 * BP61 BP62 BP63 BP64 BP65`
	KEYWORD	`noisy, finished, traditional, bongard`
	CONCEPT	`similar_shape (info \| search),` `similar (info \| search)`
	WORLD	`outlines [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

A cross is located on the extension of the ellipse axis vs. a circle is located on the extension of the ellipse axis.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 235.`
	CROSSREFS	`Adjacent-numbered pages: BP59 BP60 BP61 BP62 BP63 * BP65 BP66 BP67 BP68 BP69`
	KEYWORD	`noisy, dual, finished, orderedtriplet, traditional, bongard`
	CONCEPT	`collinear (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

A set of triangles elongated horizontally vs. a set of triangles elongated vertically.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 235.`
	CROSSREFS	`Adjacent-numbered pages: BP60 BP61 BP62 BP63 BP64 * BP66 BP67 BP68 BP69 BP70`
	KEYWORD	`noisy, spectrum, rotate, finished, traditional, viceversa, bongard`
	CONCEPT	`convex_hull (info \| search),` `elongated_compact (info \| search),` `horizontal (info \| search),` `cluster (info \| search),` `similar_feature (info \| search),` `similar (info \| search),` `vertical (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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