The On-Line Encyclopedia of Bongard Problems

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BP357

Decelerating change in quantity, left-to-right vs. accelerating change in quantity, left-to-right.

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	CROSSREFS	`Adjacent-numbered pages: BP352 BP353 BP354 BP355 BP356 * BP358 BP359 BP360 BP361 BP362`
	KEYWORD	`dual, leftright, creativeexamples, structure, traditional, rules, miniworlds`
	CONCEPT	`acceleration (info \| search),` `size_increase_decrease (info \| search),` `tracing_line_or_curve (info \| search)`
	WORLD	`quantity_change_seq_increase_right [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP363

Counterclockwise along the curve following the arrow vs. clockwise along the curve following the arrow.

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	CROSSREFS	`Adjacent-numbered pages: BP358 BP359 BP360 BP361 BP362 * BP364 BP365 BP366 BP367 BP368`
	KEYWORD	`easy, nice, dual, handed, leftright, updown, gap, traditional`
	CONCEPT	`arrow (info \| search),` `turn_orientation (info \| search),` `tracing_line_or_curve (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP372

Shape below fits on the left vs. shape below fits on the right.

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	COMMENTS	`See BP805 for the version of this with box-based BPs.`
	CROSSREFS	`Adjacent-numbered pages: BP367 BP368 BP369 BP370 BP371 * BP373 BP374 BP375 BP376 BP377`
	KEYWORD	`nice, dual, handed, leftright, creativeexamples, structure, traditional, rules`
	CONCEPT	`bongard_problem (info \| search),` `categorization (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `choice (info \| search)`
	WORLD	`bdimage_shapes_extra_below_clear_sort [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP793

Image of a Bongard Problem that would sort itself on its own left versus image of a Bongard Problem that would sort itself on its own right.

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	COMMENTS	`Rhetorical question: Where does this Bongard Problem sort an image of itself?` `See BP999 and BP1004 for similar paradoxes.`
	CROSSREFS	`See BP517 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `Adjacent-numbered pages: BP788 BP789 BP790 BP791 BP792 * BP794 BP795 BP796 BP797 BP798`
	KEYWORD	`hard, nice, abstract, dual, handed, leftright, solved, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, experimental`
	WORLD	`boxes_bpimage_sorts_self [smaller \| same \| bigger] zoom in left (boxes_bpimage_sorts_self_left) \| zoom in right (boxes_bpimage_sorts_self_right)`
	AUTHOR	`Aaron David Fairbanks`

BP795

Image of a Bongard Problem that would sort itself on its own right versus image of a Bongard Problem that would sort itself on its own left.

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	COMMENTS	`"BONGARD HELL."` `This the flipped version of BP793 but using only images of Bongard Problems with solution "__ half more black/less white than other half versus vice versa," that all use rotated, reflected, and inverted versions of the same examples.`
	CROSSREFS	`See BP971 (left vs. right more black) and BP972 (top vs. bottom more black).` `Adjacent-numbered pages: BP790 BP791 BP792 BP793 BP794 * BP796 BP797 BP798 BP799 BP800`
	KEYWORD	`hard, nice, abstract, dual, handed, leftright, meta (see left/right), miniproblems, presentationmatters, left-finite, right-finite, assumesfamiliarity, structure, experimental, funny`
	WORLD	`bongard_hell [smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Aaron David Fairbanks`

BP796

Image of a Bongard Problem that would sort a blank panel on its left versus image of a Bongard Problem that would sort a blank panel on its right.

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	CROSSREFS	`See BP567 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `Adjacent-numbered pages: BP791 BP792 BP793 BP794 BP795 * BP797 BP798 BP799 BP800 BP801`
	KEYWORD	`hard, nice, abstract, dual, handed, leftright, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`boxes_bpimage [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP805

Bongard Problem sorts example below on the left versus Bongard Problem sorts example below on the right.

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	COMMENTS	`See BP372 for the version of this with BPs with black shapes as examples instead of boxes.`
	CROSSREFS	`Adjacent-numbered pages: BP800 BP801 BP802 BP803 BP804 * BP806 BP807 BP808 BP809 BP810`
	KEYWORD	`nice, dual, handed, leftright, creativeexamples, structure, contributepairs, rules`
	CONCEPT	`bongard_problem (info \| search),` `categorization (info \| search),` `choice (info \| search)`
	WORLD	`boxes_bdimage_six_per_side_extra_below_clear_sort [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP830

Image of a Bongard Problem with left side a "positive" property and right side the "negative" property versus vice versa.

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	COMMENTS	`Left: the left hand side is enough to communicate the answer; the left pattern can be seen without the counterexamples on the right.` `Right: the right hand side is enough to communicate the answer; the right pattern can be seen without counterexamples on the left.` `Flipping a BP will switch its sorting.` `The following is taken from the comments on page BP513 (keyword left-narrow):` `Call a pattern "narrow" if it is likely to be noticed in a collection of examples, without any counterexamples provided.` `A collection of triangles will be recognized as such; "triangles" is a narrow pattern. A collection of non-triangular shapes will just be seen as "shapes"; "not triangles" is not narrow.` `Narrow patterns tend to be phrased positively ("is [property]"), while non-narrow patterns opposite narrow patterns tend to be phrased negatively ("is not [property]").`
	CROSSREFS	`See keywords left-narrow and right-narrow.` `Adjacent-numbered pages: BP825 BP826 BP827 BP828 BP829 * BP831 BP832 BP833 BP834 BP835`
	KEYWORD	`dual, handed, leftright, meta (see left/right), miniproblems, contributepairs, viceversa, presentationinvariant`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP881

Right pattern is "part of" left pattern (proper subset) vs. right pattern is not subset of left pattern.

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	COMMENTS	`No one object is included on both sides of a dividing line in any example. Left examples when seen as Bongard Problems may either read as "not [right pattern] vs. [right pattern]" or have no unconvoluted solution at all, depending on whether the left side includes any objects that would fit in with the right side.`
	CROSSREFS	`Adjacent-numbered pages: BP876 BP877 BP878 BP879 BP880 * BP882 BP883 BP884 BP885 BP886`
	KEYWORD	`abstract, handed, leftright, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes_nosoln_allowed [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP931

Some number labels its own position in the sequence from left to right vs. not so.

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	COMMENTS	`Right examples are called "derangements".`
	CROSSREFS	`Adjacent-numbered pages: BP926 BP927 BP928 BP929 BP930 * BP932 BP933 BP934 BP935 BP936`
	KEYWORD	`handed, leftright, sequence, traditional, left-listable, right-listable`
	CONCEPT	`number (info \| search),` `dot (info \| search),` `self-reference (info \| search)`
	WORLD	`dot_clusters_sequence_horizontal [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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