The On-Line Encyclopedia of Bongard Problems

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Small circles on different arcs vs. small circles on one arc.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 228.`
	CROSSREFS	`Adjacent-numbered pages: BP39 BP40 BP41 BP42 BP43 * BP45 BP46 BP47 BP48 BP49`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`between (info \| search),` `cusp (info \| search),` `on_line_or_curve (info \| search),` `separation_of_joined_objects (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

A dark circle is closer to the outline circle than to the triangle vs. a dark circle is closer to the triangle than to the outline circle.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 240.`
	CROSSREFS	`Adjacent-numbered pages: BP74 BP75 BP76 BP77 BP78 * BP80 BP81 BP82 BP83 BP84`
	KEYWORD	`spectrum, finished, traditional, continuous, viceversa, bongard`
	CONCEPT	`length_line_or_curve (info \| search),` `near_far (info \| search),` `outlined_filled (info \| search),` `texture (info \| search),` `triangle (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Image of a Bongard Problem with solution presence of a specific object vs. image of a Bongard Problem with solution presence of a type of object.

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	COMMENTS	`"Specific object" we mean the same connected figure (up to movement around the box). It is ambiguous whether a scaled, rotated, or reflected version of an object would be considered "the same object" because no examples on either side are forced to deal with that subtlety in their respective solutions.`
	CROSSREFS	`Adjacent-numbered pages: BP827 BP828 BP829 BP830 BP831 * BP833 BP834 BP835 BP836 BP837`
	KEYWORD	`meta (see left/right), miniproblems, assumesfamiliarity, structure, presentationinvariant`
	CONCEPT	`existence (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Tetrahedron projected on the box plane vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP246 BP247 BP248 BP249 BP250 * BP252 BP253 BP254 BP255 BP256`
	KEYWORD	`traditional`
	CONCEPT	`3d_solid (info \| search)`
	AUTHOR	`Andreas Gunnarsson`

No dot is too far apart from another dot vs. at least one dot is far apart from all other dots.

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	CROSSREFS	`Adjacent-numbered pages: BP207 BP208 BP209 BP210 BP211 * BP213 BP214 BP215 BP216 BP217`
	KEYWORD	`traditional`
	CONCEPT	`collinear (info \| search),` `near_far (info \| search),` `curve_texture (info \| search),` `texture (info \| search)`
	AUTHOR	`Giuseppe Insana`

Tetrahedron projected on the box plane vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP245 BP246 BP247 BP248 BP249 * BP251 BP252 BP253 BP254 BP255`
	KEYWORD	`stretch, traditional, left-couldbe`
	CONCEPT	`number (info \| search),` `3d_solid (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Andreas Gunnarsson`

A circle vs. no circle.

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	COMMENTS	`All small squares appearing in this problem are axis-aligned.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 221.`
	CROSSREFS	`Adjacent-numbered pages: BP19 BP20 BP21 BP22 BP23 * BP25 BP26 BP27 BP28 BP29`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`circle (info \| search),` `existence (info \| search)`
	WORLD	`circle_square_eq-tri_small_outlines [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Self-similar only scaled about one point vs. multiple centers of self-similarity.

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	COMMENTS	`There is only ever one such center of self-similarity or infinitely many.`
	CROSSREFS	`Adjacent-numbered pages: BP1113 BP1114 BP1115 BP1116 BP1117 * BP1119 BP1120 BP1121 BP1122 BP1123`
	KEYWORD	`nice, perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Vertical, horizontal, and both diagonal axes of symmetry vs. not (more specifically, one or fewer axes of symmetry).

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	CROSSREFS	`Adjacent-numbered pages: BP1205 BP1206 BP1207 BP1208 BP1209 * BP1211 BP1212 BP1213 BP1214 BP1215`
	KEYWORD	`stub, left-narrow, traditional, blackwhiteinvariant`
	CONCEPT	`symmetry_axis (info \| search),` `symmetry (info \| search),` `four (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Elongated vertically vs. elongated horizontally.

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	CROSSREFS	`Adjacent-numbered pages: BP187 BP188 BP189 BP190 BP191 * BP193 BP194 BP195 BP196 BP197`
	KEYWORD	`nice, noisy, traditional`
	CONCEPT	`convex_hull (info \| search),` `elongated_compact (info \| search),` `horizontal (info \| search),` `vertical (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Harry E. Foundalis`

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