The On-Line Encyclopedia of Bongard Problems

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Filled subsection is largest square that divides the grid vs. not so

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	REFERENCE	`https://en.wikipedia.org/wiki/Greatest_common_divisor`
	CROSSREFS	`Any example in this BP is a left example of BP1057.` `Adjacent-numbered pages: BP1067 BP1068 BP1069 BP1070 BP1071 * BP1073 BP1074 BP1075 BP1076 BP1077`
	KEYWORD	`grid, left-listable, right-listable`
	CONCEPT	`division (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

Bottom shape is bigger than top shape vs. top shape is bigger than bottom shape.

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	CROSSREFS	`BP1214 has the same solution but rotated a quarter-turn clockwise.` `Adjacent-numbered pages: BP1212 BP1213 BP1214 BP1215 BP1216 * BP1218 BP1219 BP1220 BP1221 BP1222`
	KEYWORD	`stub, dual, handed, updown, traditional`
	CONCEPT	`size (info \| search),` `quantity_comparison (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Shorter on the left, taller on the right vs. taller on the left, shorter on the right.

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	CROSSREFS	`Adjacent-numbered pages: BP273 BP274 BP275 BP276 BP277 * BP279 BP280 BP281 BP282 BP283`
	KEYWORD	`dual, handed, leftright`
	CONCEPT	`size_increase_decrease (info \| search),` `convex_hull (info \| search),` `leftward_rightward (info \| search),` `regular_irregular_change (info \| search),` `tracing_line_or_curve (info \| search)`
	WORLD	`arial_font_two_symbols [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

Increasing quantity loops back to starting value vs. increasing quantity cannot loop back to starting value.

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	CROSSREFS	`Adjacent-numbered pages: BP348 BP349 BP350 BP351 BP352 * BP354 BP355 BP356 BP357 BP358`
	KEYWORD	`creativeexamples, structure, sequence, traditional, rules, miniworlds`
	CONCEPT	`iteration (info \| search),` `loop (info \| search),` `tracing_line_or_curve (info \| search)`
	WORLD	`constant_change_seq_increase_right [smaller \| same \| bigger] zoom in left (constant_change_seq_loop_right)`
	AUTHOR	`Aaron David Fairbanks`

Square present vs. no square present.

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	CROSSREFS	`Nearly identical to BP1209, which is the same except the square is always empty (and the right side still has no squares, empty or not).` `Adjacent-numbered pages: BP1216 BP1217 BP1218 BP1219 BP1220 * BP1222 BP1223 BP1224 BP1225 BP1226`
	KEYWORD	`stub`
	CONCEPT	`existence (info \| search),` `square (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Image of a Bongard Problem with solution about tiling vs. not so.

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	COMMENTS	`"Tiling" is placing shapes next to each other without overlap to fill up space or other shapes.`
	CROSSREFS	`See BP706 for the version with links to pages on the OEBP instead of images of Bongard Problems.` `Adjacent-numbered pages: BP830 BP831 BP832 BP833 BP834 * BP836 BP837 BP838 BP839 BP840`
	KEYWORD	`meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	CONCEPT	`tiling (info \| search)`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Correct vs. incorrect.

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	COMMENTS	`"True" vs. "false."`
	CROSSREFS	`Adjacent-numbered pages: BP388 BP389 BP390 BP391 BP392 * BP394 BP395 BP396 BP397 BP398`
	KEYWORD	`nice, fuzzy, abstract, collective, contributepairs, traditional, rules, miniworlds, dithering`
	CONCEPT	`categorization (info \| search),` `true_false (info \| search)`
	AUTHOR	`Jago Collins`

Four out of five objects are circles vs. never four out of five objects are circles.

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	CROSSREFS	`Adjacent-numbered pages: BP105 BP106 BP107 BP108 BP109 * BP111 BP112 BP113 BP114 BP115`
	KEYWORD	`number, traditional`
	CONCEPT	`number (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

All nonempty boxes have same number of boxes in them vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1055 BP1056 BP1057 BP1058 BP1059 * BP1061 BP1062 BP1063 BP1064 BP1065`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`recursive_boxes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

The long axes of the ellipse and rectangle are perpendicular vs. the long axes of the ellipse and rectangle are parallel.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 238.`
	CROSSREFS	`Adjacent-numbered pages: BP68 BP69 BP70 BP71 BP72 * BP74 BP75 BP76 BP77 BP78`
	KEYWORD	`noisy, finished, traditional, bongard`
	CONCEPT	`imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `parallel (info \| search),` `perpendicular (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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