The On-Line Encyclopedia of Bongard Problems

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There is no rule for how the objects in a cluster interrelate vs. there is.

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	COMMENTS	`Other ways of phrasing this:` `"Local" vs. "global" properties of collections: to check a collection satisfies a "local" property, it is only necessary to check each individual thing in it satisfies some property.` `The rule all collections satisfy is just "every object is a ___" vs. the rule is something more.`
	CROSSREFS	`Adjacent-numbered pages: BP1122 BP1123 BP1124 BP1125 BP1126 * BP1128 BP1129 BP1130 BP1131 BP1132`
	KEYWORD	`abstract, creativeexamples, left-unknowable, rules, miniworlds`
	CONCEPT	`local_global (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Small object can glide in the bay vs. small object cannot glide in the bay.

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	CROSSREFS	`Adjacent-numbered pages: BP170 BP171 BP172 BP173 BP174 * BP176 BP177 BP178 BP179 BP180`
	KEYWORD	`orderedpair, traditional`
	CONCEPT	`entrance_exit (info \| search),` `indentation (info \| search),` `rotation_required (info \| search),` `imagined_motion (info \| search),` `motion (info \| search),` `specific_shape (info \| search),` `physically_fitting (info \| search)`
	AUTHOR	`Harry E. Foundalis`

Nodes share the same edge connections as the vertices of a cube vs. not so.

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	REFERENCE	`https://mathworld.wolfram.com/CubicalGraph.html`
	CROSSREFS	`Adjacent-numbered pages: BP1097 BP1098 BP1099 BP1100 BP1101 * BP1103 BP1104 BP1105 BP1106 BP1107`
	KEYWORD	`precise, allsorted, arbitrary, help, preciseworld`
	CONCEPT	`graph (info \| search),` `cube (info \| search),` `distinguishing_crossing_curves (info \| search),` `topological_transformation (info \| search)`
	WORLD	`connected_graph [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

Dot's position within square is center of square's position within panel vs. not so.

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	COMMENTS	`All examples in this problem are dots inside square outlines.`
	CROSSREFS	`Similar to BP1122 (the "fractal" version).` `Adjacent-numbered pages: BP813 BP814 BP815 BP816 BP817 * BP819 BP820 BP821 BP822 BP823`
	KEYWORD	`nice, notso, boundingbox, absoluteposition`
	CONCEPT	`bounding_box (info \| search),` `self-reference (info \| search),` `center (info \| search),` `distance_from_center (info \| search)`
	WORLD	`point_inside_square [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

Texture with stripy squiggle vs. texture with blotchy squiggle.

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	CROSSREFS	`Adjacent-numbered pages: BP231 BP232 BP233 BP234 BP235 * BP237 BP238 BP239 BP240 BP241`
	KEYWORD	`traditional`
	CONCEPT	`light_dark (info \| search),` `texture_area (info \| search),` `texture (info \| search)`
	AUTHOR	`Peter Shanahan`

Left infinite vs. left finite.

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	CROSSREFS	`See BP1041 for right finite vs. right infinite. That is this Problem with with sides flipped and sides of mini-Problems flipped.` `See BP515 (left-finite) for a version that sorts links to Bongard Problems and not just about numbers, instead of images of Bongard Problems (miniproblems) about numbers.` `Adjacent-numbered pages: BP1027 BP1028 BP1029 BP1030 BP1031 * BP1033 BP1034 BP1035 BP1036 BP1037`
	KEYWORD	`precise, allsorted, handed, leftright, math, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	CONCEPT	`finite_infinite (info \| search)`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Two clusters of two elements each vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP200 BP201 BP202 BP203 BP204 * BP206 BP207 BP208 BP209 BP210`
	KEYWORD	`traditional`
	CONCEPT	`feature_cluster (info \| search),` `cluster (info \| search),` `similar_shape (info \| search),` `similar (info \| search),` `two (info \| search)`
	AUTHOR	`Giuseppe Insana`

Points inside the figure outline are on a straight line vs. points inside the figure outline are not on a straight line.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 227.`
	CROSSREFS	`Adjacent-numbered pages: BP37 BP38 BP39 BP40 BP41 * BP43 BP44 BP45 BP46 BP47`
	KEYWORD	`noisy, finished, traditional, bongard`
	CONCEPT	`collinear (info \| search),` `interior_exterior (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search)`
	WORLD	`dots_and_outline_three_are_nested [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Four parts vs. five parts.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 242.`
	CROSSREFS	`Adjacent-numbered pages: BP82 BP83 BP84 BP85 BP86 * BP88 BP89 BP90 BP91 BP92`
	KEYWORD	`number, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `four (info \| search),` `five (info \| search)`
	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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