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`

Hollow outline vs. filled in solid.

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	COMMENTS	`All examples in this Bongard Problem are single simple shapes.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 214.`
	CROSSREFS	`Adjacent-numbered pages: BP1 BP2 * BP4 BP5 BP6 BP7 BP8`
	KEYWORD	`easy, nice, precise, allsorted, world, gap, finished, traditional, preciseworld, bongard`
	CONCEPT	`outlined_filled (info \| search),` `texture (info \| search)`
	WORLD	`outline_or_fill_shape [smaller \| same \| bigger] zoom in left (shape_outline) \| zoom in right (fill_shape)`
	AUTHOR	`Mikhail M. Bongard`

Convex vs. concave.

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	COMMENTS	`All examples in this Problem are outlines of shapes or solid black shapes.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 215.`
	CROSSREFS	`BP136 is the same solution (flipped) but with only polygonal outlines and also with extraneous dots distracting from the solution.` `Adjacent-numbered pages: BP1 BP2 BP3 * BP5 BP6 BP7 BP8 BP9`
	KEYWORD	`easy, nice, precise, unstable, right-narrow, finished, traditional, bongard`
	CONCEPT	`concave_convex_angle (info \| search)`
	WORLD	`outline_or_fill_shape [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`

Closed shape outline vs. non-closed curve.

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	COMMENTS	`All examples in this Bongard Problem are non-self-intersecting curves.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218.`
	CROSSREFS	`Adjacent-numbered pages: BP10 BP11 BP12 BP13 BP14 * BP16 BP17 BP18 BP19 BP20`
	KEYWORD	`nice, unstable, world, finished, traditional, bongard`
	CONCEPT	`closed_open (info \| search),` `hole (info \| search),` `loop (info \| search)`
	WORLD	`curve_or_outline [smaller \| same \| bigger] zoom in left (shape_outline) \| zoom in right (curve)`
	AUTHOR	`Mikhail M. Bongard`

All shapes approximately the same size vs. shapes of different size.

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	COMMENTS	`All examples in this problem include three or fewer outlines of circles, (near-square) quadrilaterals and (non-skinny) triangles.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 221.`
	CROSSREFS	`Adjacent-numbered pages: BP17 BP18 BP19 BP20 BP21 * BP23 BP24 BP25 BP26 BP27`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`all (info \| search),` `average (info \| search),` `size (info \| search)`
	WORLD	`circle_triangle_squareish_outlines [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

One vs. two figures.

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	COMMENTS	`All examples in this Problem comprise one or two shape outlines.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 221.`
	CROSSREFS	`Adjacent-numbered pages: BP18 BP19 BP20 BP21 BP22 * BP24 BP25 BP26 BP27 BP28`
	KEYWORD	`easy, nice, precise, number, world, gap, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `one (info \| search),` `two (info \| search)`
	WORLD	`outlines [smaller \| same \| bigger] zoom in left (shape_outline) \| zoom in right (two_outlines)`
	AUTHOR	`Mikhail M. Bongard`

More solid black figures vs. more outline figures.

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	COMMENTS	`All small squares appearing in this problem are axis-aligned.` `All examples have at least one filled shape and one outline.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 222.`
	CROSSREFS	`Adjacent-numbered pages: BP22 BP23 BP24 BP25 BP26 * BP28 BP29 BP30 BP31 BP32`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `outlined_filled (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `texture (info \| search),` `quantity_comparison (info \| search)`
	WORLD	`circle_square_eq-tri_small_some_outline_some_fill [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

A curve with one self-crossing vs. a curve without a self-crossing.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 223.`
	CROSSREFS	`BP1232 is almost exactly the same, but allowing for multiple curves and multiple self-crossings.` `Adjacent-numbered pages: BP25 BP26 BP27 BP28 BP29 * BP31 BP32 BP33 BP34 BP35`
	KEYWORD	`nice, finished, traditional, bongard`
	CONCEPT	`x-crossing (info \| search),` `existence (info \| search)`
	WORLD	`crosscurve [smaller \| same \| bigger] zoom in right (curve_or_outline)`
	AUTHOR	`Mikhail M. Bongard`

Triangle above circle vs. circle above triangle.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 226.`
	CROSSREFS	`Adjacent-numbered pages: BP32 BP33 BP34 BP35 BP36 * BP38 BP39 BP40 BP41 BP42`
	KEYWORD	`noisy, spectrum, finished, traditional, continuous, viceversa, bongard`
	CONCEPT	`above_below (info \| search),` `triangle (info \| search),` `quantity_comparison (info \| search)`
	WORLD	`one_circle_one_square_one_eq-tri_small_outlines [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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