The On-Line Encyclopedia of Bongard Problems

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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`

The long axes of the ellipse and rectangle are perpendicular vs. the long axes of the ellipse and rectangle are parallel.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 238.`
	CROSSREFS	`Adjacent-numbered pages: BP68 BP69 BP70 BP71 BP72 * BP74 BP75 BP76 BP77 BP78`
	KEYWORD	`noisy, finished, traditional, bongard`
	CONCEPT	`imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `parallel (info \| search),` `perpendicular (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

A tail grows from the obtuse end vs. a tail grows from the acute end.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 238.`
	CROSSREFS	`Adjacent-numbered pages: BP69 BP70 BP71 BP72 BP73 * BP75 BP76 BP77 BP78 BP79`
	KEYWORD	`nice, finished, traditional, bongard`
	CONCEPT	`size_increase_decrease (info \| search),` `tracing_line_or_curve (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Extensions of segments cross at one point vs. extensions of segments do not cross at one point.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 239.`
	CROSSREFS	`Adjacent-numbered pages: BP73 BP74 BP75 BP76 BP77 * BP79 BP80 BP81 BP82 BP83`
	KEYWORD	`finished, unorderedtriplet, traditional, bongard`
	CONCEPT	`all (info \| search),` `lines_coincide (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	WORLD	`three_segments [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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

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	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`

Isosceles triangle vs. scalene triangle.

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	CROSSREFS	`Adjacent-numbered pages: BP98 BP99 BP100 BP101 BP102 * BP104 BP105 BP106 BP107 BP108`
	KEYWORD	`precise, allsorted, stretch, orderedpair, traditional, preciseworld`
	CONCEPT	`line_or_curve_endpoint (info \| search),` `length_line_or_curve (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `same_feature (info \| search),` `same (info \| search),` `isosceles_triangle (info \| search),` `triangle (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Negative slope vs. positive slope.

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	COMMENTS	`All examples feature a white circle and a black circle. The answer refers to the slope of the line connecting the two circles.` `The coloring of the circles is irrelevant.`
	CROSSREFS	`Adjacent-numbered pages: BP101 BP102 BP103 BP104 BP105 * BP107 BP108 BP109 BP110 BP111`
	KEYWORD	`nice, noisy, dual, handed, rotate, orderedpair, traditional`
	CONCEPT	`positive_negative_slope (info \| search),` `line_slope (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

X-coordinates of dots are equidistant vs. y-coordinates of dots are equidistant.

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	CROSSREFS	`Adjacent-numbered pages: BP107 BP108 BP109 BP110 BP111 * BP113 BP114 BP115 BP116 BP117`
	KEYWORD	`hard, nice, antihuman, traditional`
	CONCEPT	`coordinate (info \| search),` `length_line_or_curve (info \| search),` `midpoint (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `same_feature (info \| search),` `same (info \| search)`
	WORLD	`three_points [smaller \| same \| bigger]`
	AUTHOR	`Douglas R. Hofstadter`

Triangle points to center of circle vs. triangle does not point to center of circle.

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	CROSSREFS	`Adjacent-numbered pages: BP112 BP113 BP114 BP115 BP116 * BP118 BP119 BP120 BP121 BP122`
	KEYWORD	`traditional`
	CONCEPT	`between (info \| search),` `on_line_or_curve (info \| search),` `midpoint (info \| search),` `pointing_to (info \| search),` `center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `triangle_arrow (info \| search),` `triangle (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Dots are vertices of a parallelogram vs. dots are not vertices of a parallelogram.

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	CROSSREFS	`Adjacent-numbered pages: BP126 BP127 BP128 BP129 BP130 * BP132 BP133 BP134 BP135 BP136`
	KEYWORD	`noisy, traditional`
	CONCEPT	`existence (info \| search),` `length_line_or_curve (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

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