The On-Line Encyclopedia of Bongard Problems

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Equal numbers of straight lines and continuous curves vs. unequal numbers of straight lines and continuous curves.

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	CROSSREFS	`Adjacent-numbered pages: BP241 BP242 BP243 BP244 BP245 * BP247 BP248 BP249 BP250 BP251`
	KEYWORD	`traditional`
	CONCEPT	`curved_straight (info \| search),` `number (info \| search)`
	AUTHOR	`Carla Rispoli`

Shapes identical after rotation vs. shapes identical after rotation and mirroring.

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	CROSSREFS	`Adjacent-numbered pages: BP300 BP301 BP302 BP303 BP304 * BP306 BP307 BP308 BP309 BP310`
	KEYWORD	`nice, unorderedpair, traditional`
	CONCEPT	`rotation_required (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`"Lewis"`

Any one gear turns all vs. no gear turns all.

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	CROSSREFS	`See BP536 for all gears can turn.` `Adjacent-numbered pages: BP331 BP332 BP333 BP334 BP335 * BP337 BP338 BP339 BP340 BP341`
	KEYWORD	`nice, stretch, physics, traditional`
	CONCEPT	`all (info \| search),` `turn_orientation (info \| search),` `every_other (info \| search),` `gear (info \| search),` `on_line_or_curve (info \| search),` `tracing_line_or_curve (info \| search),` `imagined_motion (info \| search),` `motion (info \| search)`
	WORLD	`gears [smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Aaron David Fairbanks`

Nesting vs. no nesting.

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	CROSSREFS	`See BP1061 for a version of this with only squares and which allows infinite nesting.` `See BP71 for a Problem about counting levels of nesting.` `Adjacent-numbered pages: BP1017 BP1018 BP1019 BP1020 BP1021 * BP1023 BP1024 BP1025 BP1026 BP1027`
	KEYWORD	`easy, nice, precise, allsorted, traditional`
	CONCEPT	`recursion_number (info \| search),` `separated_regions (info \| search),` `inside (info \| search),` `recursion (info \| search)`
	WORLD	`varied_thickness_curves_drawing [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

"Inverted symmetry" present vs. not

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	CROSSREFS	`Adjacent-numbered pages: BP1088 BP1089 BP1090 BP1091 BP1092 * BP1094 BP1095 BP1096 BP1097 BP1098`
	KEYWORD	`nice, precise, allsorted, boundingbox, left-narrow, right-null, perfect, pixelperfect, preciseworld, bordercontent, blackwhiteinvariant`
	CONCEPT	`black_white_inversion (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

Predominance of curves and hook-like endings vs. predominance of straight lines and staple-like endings.

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	CROSSREFS	`Adjacent-numbered pages: BP148 BP149 BP150 BP151 BP152 * BP154 BP155 BP156 BP157 BP158`
	KEYWORD	`traditional`
	CONCEPT	`line_or_curve_endpoint (info \| search),` `specific_style (info \| search),` `specificity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Opposite (inverse) transformations have been applied to the same specific small square on opposite sides of the dividing line versus not so.

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	COMMENTS	`The original pre-transformed square is the same across all examples, however it is not shown in most examples; what the pre-transformed square looks like must be deduced by the solver.`
	CROSSREFS	`BP1260 is about applying the same transformation to different objects.` `Adjacent-numbered pages: BP834 BP835 BP836 BP837 BP838 * BP840 BP841 BP842 BP843 BP844`
	KEYWORD	`easy, abstract, arbitrary, anticomputer, traditional, rules`
	CONCEPT	`square (info \| search),` `specificity (info \| search),` `function (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Triangle points to center of circle vs. triangle does not point to center of circle.

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	CROSSREFS	`Adjacent-numbered pages: BP112 BP113 BP114 BP115 BP116 * BP118 BP119 BP120 BP121 BP122`
	KEYWORD	`traditional`
	CONCEPT	`between (info \| search),` `on_line_or_curve (info \| search),` `midpoint (info \| search),` `pointing_to (info \| search),` `center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `triangle_arrow (info \| search),` `triangle (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

Long distance between the marked locations vs. short distance between the marked locations.

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	CROSSREFS	`Adjacent-numbered pages: BP309 BP310 BP311 BP312 BP313 * BP315 BP316 BP317 BP318 BP319`
	KEYWORD	`traditional`
	CONCEPT	`length_line_or_curve (info \| search),` `maze (info \| search),` `path (info \| search)`
	AUTHOR	`Jakub Štepo`

Image of a Bongard Problem with no simple solution versus image of a Bongard Problem with a simple solution.

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	COMMENTS	`Left examples have no solution, but they do not break the rules in ways so extreme that it is plainly impossible for them to have a solution, such as including the same image on both sides or including no images per side. (See such as including the same image on both sides or including no images per side.`
	CROSSREFS	`See BP522 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `See BP968 (flipped) for a version of this Bongard Problem including examples of invalid Bongard Problems that don't even admit a convoluted solution (the same image appears on both sides).` `Also see BP1080, which is similar to BP968, but including various different formats of Bongard Problems, distinguishing them from arbitrary images that are not Bongard Problems.` `Adjacent-numbered pages: BP824 BP825 BP826 BP827 BP828 * BP830 BP831 BP832 BP833 BP834`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, left-unknowable, right-narrow, assumesfamiliarity, structure, help, presentationinvariant`
	CONCEPT	`existence (info \| search),` `simplicity (info \| search),` `zero (info \| search)`
	WORLD	`boxes_bpimage_three_per_side_nosoln_allowed [smaller \| same \| bigger] zoom in right (boxes_bpimage_three_per_side)`
	AUTHOR	`Aaron David Fairbanks`

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