The On-Line Encyclopedia of Bongard Problems

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Circle on the right of the box vs. circle on the left of the box.

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	CROSSREFS	`Adjacent-numbered pages: BP104 BP105 BP106 BP107 BP108 * BP110 BP111 BP112 BP113 BP114`
	KEYWORD	`noisy, dual, handed, leftright, traditional`
	CONCEPT	`absolute_position (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Petals taper off vs. petals thicken.

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	CROSSREFS	`Adjacent-numbered pages: BP103 BP104 BP105 BP106 BP107 * BP109 BP110 BP111 BP112 BP113`
	KEYWORD	`nice, traditional`
	CONCEPT	`all (info \| search),` `size_increase_decrease (info \| search),` `protrusion (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Three simple lines vs. three complex lines.

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	CROSSREFS	`Adjacent-numbered pages: BP102 BP103 BP104 BP105 BP106 * BP108 BP109 BP110 BP111 BP112`
	KEYWORD	`number, traditional`
	CONCEPT	`number (info \| search),` `curve_texture (info \| search),` `texture (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`

Ends of line point to the same direction vs. ends of line do not point to the same direction.

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	CROSSREFS	`Adjacent-numbered pages: BP100 BP101 BP102 BP103 BP104 * BP106 BP107 BP108 BP109 BP110`
	KEYWORD	`noisy, traditional`
	CONCEPT	`slope_at_endpoint (info \| search),` `tracing_line_or_curve (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

One circle passes through the center of the other circle vs. no circle passes through the center of the other circle.

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	CROSSREFS	`Adjacent-numbered pages: BP99 BP100 BP101 BP102 BP103 * BP105 BP106 BP107 BP108 BP109`
	KEYWORD	`precise, unorderedpair, traditional`
	CONCEPT	`on_line_or_curve (info \| search),` `center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

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`

Internal arrows point outward vs. internal arrows point inward.

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	CROSSREFS	`Adjacent-numbered pages: BP97 BP98 BP99 BP100 BP101 * BP103 BP104 BP105 BP106 BP107`
	KEYWORD	`traditional`
	CONCEPT	`arrow (info \| search),` `between (info \| search),` `tracing_lines_or_curves_meet (info \| search),` `tracing_line_or_curve (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Parallel dents vs. perpendicular dents.

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	CROSSREFS	`Adjacent-numbered pages: BP96 BP97 BP98 BP99 BP100 * BP102 BP103 BP104 BP105 BP106`
	KEYWORD	`traditional`
	CONCEPT	`indentation (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search),` `parallel (info \| search),` `perpendicular (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

The letter A vs. the letter Б.

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	COMMENTS	`This is the final problem in Bongard's original collection. It is the only member of the collection that makes reference to human culture. This can be interpreted symbolically as foreshadowing that computers will be able to perform the various tasks that humans can do.` `Another idea introduced by this Bongard Problem is that a Bongard Problem can teach its solution to the solver. (See keyword teach.) A large pool of examples can be used for training, as is common in machine learning.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 247.`
	CROSSREFS	`Adjacent-numbered pages: BP95 BP96 BP97 BP98 BP99 * BP101 BP102 BP103 BP104 BP105`
	KEYWORD	`easy, nice, teach, arbitrary, anticomputer, culture, finished, bongard`
	CONCEPT	`specific_shape (info \| search),` `specificity (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

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