The On-Line Encyclopedia of Bongard Problems

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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`

The convex hull of the crosses forms an equilateral triangle vs. the convex hull of the crosses does not form an equilateral triangle.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 241.`
	CROSSREFS	`Adjacent-numbered pages: BP77 BP78 BP79 BP80 BP81 * BP83 BP84 BP85 BP86 BP87`
	KEYWORD	`noisy, notso, finished, traditional, bongard`
	CONCEPT	`convex_hull (info \| search),` `equilateral_triangle (info \| search),` `triangle (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

A circle is inside of a figure made by crosses vs. a circle is outside of figures made by crosses.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 241.`
	CROSSREFS	`Adjacent-numbered pages: BP78 BP79 BP80 BP81 BP82 * BP84 BP85 BP86 BP87 BP88`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`convex_hull (info \| search),` `inside (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

A quadrangle is outside of a figure made by circles vs. a quadrangle is inside of a figure made by circles.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 241.`
	CROSSREFS	`Adjacent-numbered pages: BP79 BP80 BP81 BP82 BP83 * BP85 BP86 BP87 BP88 BP89`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`convex_hull (info \| search),` `interior_exterior (info \| search),` `cluster (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Three parts vs. five parts.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 242.`
	CROSSREFS	`Adjacent-numbered pages: BP80 BP81 BP82 BP83 BP84 * BP86 BP87 BP88 BP89 BP90`
	KEYWORD	`nice, number, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `three (info \| search),` `five (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Three parts vs. five parts.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 242.`
	CROSSREFS	`Adjacent-numbered pages: BP81 BP82 BP83 BP84 BP85 * BP87 BP88 BP89 BP90 BP91`
	KEYWORD	`number, finished, traditional, bongard`
	CONCEPT	`branch_point (info \| search),` `lines_coincide (info \| search),` `number (info \| search),` `three (info \| search),` `five (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Four parts vs. five parts.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 242.`
	CROSSREFS	`Adjacent-numbered pages: BP82 BP83 BP84 BP85 BP86 * BP88 BP89 BP90 BP91 BP92`
	KEYWORD	`number, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `four (info \| search),` `five (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

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: BP83 BP84 BP85 BP86 BP87 * BP89 BP90 BP91 BP92 BP93`
	KEYWORD	`number, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `separation_of_joined_objects (info \| search),` `three (info \| search),` `five (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

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`

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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