The On-Line Encyclopedia of Bongard Problems

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Big vs. small.

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	COMMENTS	`The meaning of "big" left intentionally vague. There are various specific ways to define size, such as diameter, minimum distance between points on edge, and size of smallest bounding circle.` `All examples in this Bongard Problem are single simple shapes, either outlines or solid black.` `All examples on the same side are approximately the same size.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 214.`
	CROSSREFS	`Adjacent-numbered pages: BP1 * BP3 BP4 BP5 BP6 BP7`
	KEYWORD	`easy, nice, fuzzy, spectrum, size, stable, finished, traditional, continuous, bongard`
	CONCEPT	`size (info \| search)`
	WORLD	`outline_or_fill_shape [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Non-wiggly outline vs. wiggly outline.

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	COMMENTS	`"Wiggly" means a high number of small concavities adjacent to one another all around the outline.` `All examples in this Bongard Problem are shape outlines.` `Shapes with outlines that are only wiggly within partial sections would be ambiguous. Shapes with outlines that have many medium-size concavities would be ambiguous.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 216.`
	CROSSREFS	`Adjacent-numbered pages: BP4 BP5 BP6 BP7 BP8 * BP10 BP11 BP12 BP13 BP14`
	KEYWORD	`easy, nice, fuzzy, stable, world, finished, traditional, bongard`
	CONCEPT	`curve_texture (info \| search),` `texture (info \| search)`
	WORLD	`Multiple options: mediumsize_centered_outline [smaller \| same \| bigger], shape_outline [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Approximately triangular outline vs. approximately convex quadrilateral outline.

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	COMMENTS	`All examples in this Bongard Problem are shape outlines.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 217.`
	CROSSREFS	`Adjacent-numbered pages: BP5 BP6 BP7 BP8 BP9 * BP11 BP12 BP13 BP14 BP15`
	KEYWORD	`easy, fuzzy, noisy, number, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `three (info \| search),` `four (info \| search)`
	WORLD	`shape_outline [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Thin and elongated vs. compact.

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	COMMENTS	`All examples in this Bongard Problem are shape outlines.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 217.`
	CROSSREFS	`Adjacent-numbered pages: BP6 BP7 BP8 BP9 BP10 * BP12 BP13 BP14 BP15 BP16`
	KEYWORD	`nice, fuzzy, spectrum, stretch, stable, world, finished, traditional, bongard`
	CONCEPT	`elongated_compact (info \| search)`
	WORLD	`shape_outline [smaller \| same \| bigger] zoom in left (elongated_outline)`
	AUTHOR	`Mikhail M. Bongard`

Thin elongated convex hull vs. compact convex hull.

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	COMMENTS	`All examples in this Bongard Problem are shape outlines.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 217.`
	CROSSREFS	`Adjacent-numbered pages: BP7 BP8 BP9 BP10 BP11 * BP13 BP14 BP15 BP16 BP17`
	KEYWORD	`nice, fuzzy, spectrum, stretch, finished, traditional, bongard`
	CONCEPT	`convex_hull (info \| search),` `elongated_compact (info \| search)`
	WORLD	`shape_outline [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

All big individual figures vs. all small individual figures.

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	COMMENTS	`All examples in this Problem show one or more connected figures made up of lines.` `Some big shapes and some small shapes would be ambiguous.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218.`
	CROSSREFS	`See BP2 for the same idea using one shape.` `Adjacent-numbered pages: BP9 BP10 BP11 BP12 BP13 * BP15 BP16 BP17 BP18 BP19`
	KEYWORD	`fuzzy, size, stable, finished, traditional, bongard`
	CONCEPT	`all (info \| search),` `length_line_or_curve (info \| search),` `size (info \| search)`
	WORLD	`curves_drawing [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Ends of the curve are far apart vs. ends of the curve are close together.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 234.`
	CROSSREFS	`Adjacent-numbered pages: BP57 BP58 BP59 BP60 BP61 * BP63 BP64 BP65 BP66 BP67`
	KEYWORD	`nice, fuzzy, spectrum, stretch, stable, finished, traditional, continuous, bongard`
	CONCEPT	`line_or_curve_endpoint (info \| search),` `near_far (info \| search)`
	WORLD	`curve [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

A small correction will result in a single circle vs. no small correction will result in a single circle.

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	CROSSREFS	`Adjacent-numbered pages: BP114 BP115 BP116 BP117 BP118 * BP120 BP121 BP122 BP123 BP124`
	KEYWORD	`fuzzy, traditional`
	CONCEPT	`existence (info \| search),` `imperfection_small (info \| search)`
	WORLD	`curves_drawing [smaller \| same \| bigger]`
	AUTHOR	`Douglas R. Hofstadter`

A little less than a regular shape vs. a little more than a regular shape.

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	CROSSREFS	`Adjacent-numbered pages: BP143 BP144 BP145 BP146 BP147 * BP149 BP150 BP151 BP152 BP153`
	KEYWORD	`fuzzy, ignoreimperfections, traditional`
	CONCEPT	`imperfection_small (info \| search),` `missing_part (info \| search),` `extra_part (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Two clearly separable groups vs. not so.

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	COMMENTS	`An image of this Bongard Problem will fit as a left example for itself.`
	CROSSREFS	`Adjacent-numbered pages: BP359 BP360 BP361 BP362 BP363 * BP365 BP366 BP367 BP368 BP369`
	KEYWORD	`nice, fuzzy, right-null, traditional, miniworlds`
	CONCEPT	`feature_cluster (info \| search),` `cluster (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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