The On-Line Encyclopedia of Bongard Problems

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BP25

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`

BP26

Solid black triangle vs. no solid black triangle.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 222.`
	CROSSREFS	`Adjacent-numbered pages: BP21 BP22 BP23 BP24 BP25 * BP27 BP28 BP29 BP30 BP31`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`and (info \| search),` `existence (info \| search),` `outlined_filled (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `texture (info \| search),` `triangle (info \| search)`
	WORLD	`circle_eq-tri_small_some_outline_some_fill [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP27

More solid black figures vs. more outline figures.

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	COMMENTS	`All small squares appearing in this problem are axis-aligned.` `All examples have at least one filled shape and one outline.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 222.`
	CROSSREFS	`Adjacent-numbered pages: BP22 BP23 BP24 BP25 BP26 * BP28 BP29 BP30 BP31 BP32`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `outlined_filled (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `texture (info \| search),` `quantity_comparison (info \| search)`
	WORLD	`circle_square_eq-tri_small_some_outline_some_fill [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP41

Outline circles on one straight line vs. outline circles not on one straight line.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 227.`
	CROSSREFS	`Adjacent-numbered pages: BP36 BP37 BP38 BP39 BP40 * BP42 BP43 BP44 BP45 BP46`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`collinear (info \| search),` `outlined_filled (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `texture (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP48

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

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

	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`

BP49

Points inside the figure outline are grouped more densely than outside the contour vs. points outside the figure contour are grouped more densely than inside the contour.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 230.`
	CROSSREFS	`Adjacent-numbered pages: BP44 BP45 BP46 BP47 BP48 * BP50 BP51 BP52 BP53 BP54`
	KEYWORD	`finished, traditional, viceversa, bongard`
	CONCEPT	`inside (info \| search),` `interior_exterior (info \| search),` `near_far (info \| search),` `feature_cluster (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP58

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

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

	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`

BP81

Dark figures can be divided from outline figures by a straight line vs. convex hulls of filled and outlined figures overlap.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 240.`
	CROSSREFS	`Adjacent-numbered pages: BP76 BP77 BP78 BP79 BP80 * BP82 BP83 BP84 BP85 BP86`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`convex_hull (info \| search),` `separable_entangled (info \| search),` `sides_of_line (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `objects_overlap (info \| search),` `overlap (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP89

Three parts vs. five parts.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 243.`
	CROSSREFS	`Adjacent-numbered pages: BP84 BP85 BP86 BP87 BP88 * BP90 BP91 BP92 BP93 BP94`
	KEYWORD	`number, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `three (info \| search),` `five (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP90

Three parts vs. four parts.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 243.`
	CROSSREFS	`Adjacent-numbered pages: BP85 BP86 BP87 BP88 BP89 * BP91 BP92 BP93 BP94 BP95`
	KEYWORD	`number, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `outlined_filled (info \| search),` `separation_of_joined_objects (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `texture (info \| search),` `three (info \| search),` `four (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

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