The On-Line Encyclopedia of Bongard Problems

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BP97

Triangles vs. circles.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 246.`
	CROSSREFS	`Adjacent-numbered pages: BP92 BP93 BP94 BP95 BP96 * BP98 BP99 BP100 BP101 BP102`
	KEYWORD	`easy, nice, finished, traditional, bongard`
	CONCEPT	`convex_hull (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP98

Triangles vs. quadrangles.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 246.`
	CROSSREFS	`Adjacent-numbered pages: BP93 BP94 BP95 BP96 BP97 * BP99 BP100 BP101 BP102 BP103`
	KEYWORD	`easy, nice, noisy, number, finished, traditional, bongard`
	CONCEPT	`number (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP100

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`

BP106

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`

BP108

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`

BP112

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`

BP144

Two clusters of three and two: different features (including clustering) yield different 3-2 splits vs. two clusters of three and two: different features yield the same 3-2 split.

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	CROSSREFS	`Adjacent-numbered pages: BP139 BP140 BP141 BP142 BP143 * BP145 BP146 BP147 BP148 BP149`
	KEYWORD	`nice, traditional, miniworlds`
	CONCEPT	`and (info \| search),` `number (info \| search),` `separable_entangled (info \| search),` `feature_cluster (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search),` `two (info \| search),` `three (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP161

Midpoints are collinear vs. midpoints are not collinear.

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	CROSSREFS	`Adjacent-numbered pages: BP156 BP157 BP158 BP159 BP160 * BP162 BP163 BP164 BP165 BP166`
	KEYWORD	`nice, unorderedtriplet, traditional`
	CONCEPT	`all (info \| search),` `collinear (info \| search),` `midpoint (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Harry E. Foundalis`

BP164

Number of objects is one less than sides of each object vs. number of objects is one more than sides of each object.

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	CROSSREFS	`Adjacent-numbered pages: BP159 BP160 BP161 BP162 BP163 * BP165 BP166 BP167 BP168 BP169`
	KEYWORD	`nice, traditional`
	CONCEPT	`subtraction (info \| search),` `number (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

BP170

Pi-like shape vs. x-like shape.

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	CROSSREFS	`Adjacent-numbered pages: BP165 BP166 BP167 BP168 BP169 * BP171 BP172 BP173 BP174 BP175`
	KEYWORD	`nice, arbitrary, anticomputer, traditional, blackwhiteinvariant`
	CONCEPT	`specific_shape (info \| search),` `specificity (info \| search)`
	AUTHOR	`Harry E. Foundalis`

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