The On-Line Encyclopedia of Bongard Problems

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Bongard Problems about sequences of arbitrary length vs. Bongard Problems about sequences in which all examples have the same sequence length.

BP350	BP351	BP352	BP353	BP354	BP355
BP926	BP931	BP956	BP986	BP1148	BP1149
BP1197	BP1268

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	COMMENTS	`Left examples have the keyword "sequence" on the OEBP.` `Right examples have the keyword "fixedsequence" on the OEBP.` `Zero, one, or two objects may technically form a sequence, but if ALL examples of a BP have zero, one, or two objects, we do not consider that BP to be about sequences. BPs about fixed two-object sequences are ordered pairwise comparison BPs, orderedpair.` `The world of this Bongard Problem is BP928.`
	CROSSREFS	`See also grid versus fixedgrid.` `Adjacent-numbered pages: BP924 BP925 BP926 BP927 BP928 * BP930 BP931 BP932 BP933 BP934`
	KEYWORD	`meta (see left/right), links, keyword`
	WORLD	`sequence_visualbp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP928

Bongard Problems about sequences vs. other Bongard Problems.

BP926

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	COMMENTS	`Zero, one, or two objects may technically form a sequence, but if ALL examples of a BP have zero, one, or two objects, we do not consider that BP to be about sequences.`
	CROSSREFS	`See BP929 for distinction between sequences of arbitrary length and sequences of fixed length (keywords "sequence" and "fixedsequence").` `Adjacent-numbered pages: BP923 BP924 BP925 BP926 BP927 * BP929 BP930 BP931 BP932 BP933`
	KEYWORD	`stub, meta (see left/right), links`
	WORLD	`bp [smaller \| same \| bigger] zoom in left (sequence_visualbp)`
	AUTHOR	`Aaron David Fairbanks`

BP927

Image of Bongard Problem whose self-sorting depends on examples in it vs. image of Bongard Problem that will sort any Bongard Problem with its solution on either its left or right regardless of examples chosen.

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	COMMENTS	`All examples are Bongard Problems fitting left or right in BP793.` `All examples here are in the conventional format, i.e. white background, black vertical dividing line, and examples in boxes on either side.` `Border cases are Bongard Problems that always self-sort one way given their particular visual format (e.g. fixed number of boxes), but self-sort a different way in another slightly different format.` `Meta Bongard Problems appearing in BP793 that are presentationinvariant necessarily fit right here.` `It is interesting to think about how this Bongard Problem sorts itself. The only self-consistent answer is that it fits right.`
	CROSSREFS	`See BP793 "sorts self left vs. sorts self right".` `See BP944 "sorts every BP on one side vs. doesn't".` `Adjacent-numbered pages: BP922 BP923 BP924 BP925 BP926 * BP928 BP929 BP930 BP931 BP932`
	KEYWORD	`hard, solved, presentationinvariant, visualimagination`
	WORLD	`boxes_bpimage_sorts_self [smaller \| same \| bigger] zoom in left (boxes_bpimage_sorts_self_incarnation_dependent) \| zoom in right`
	AUTHOR	`Aaron David Fairbanks`

BP926

Numbers of dots in ascending order from left to right vs. numbers of dots neither in ascending nor descending order from left to right.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP921 BP922 BP923 BP924 BP925 * BP927 BP928 BP929 BP930 BP931`
	KEYWORD	`nice, math, sequence, traditional, left-listable, right-listable`
	CONCEPT	`number (info \| search),` `dot (info \| search)`
	WORLD	`dot_clusters_sequence_horizontal [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP925

The numbers of dots differ by three vs. not so.

(edit; present; nest [left/right]; search; history)

	CROSSREFS	`Adjacent-numbered pages: BP920 BP921 BP922 BP923 BP924 * BP926 BP927 BP928 BP929 BP930`
	KEYWORD	`math, unorderedpair, traditional`
	CONCEPT	`subtraction (info \| search),` `number (info \| search),` `dot (info \| search),` `three (info \| search)`
	WORLD	`two_dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP924

Polygons where all sides are different lengths vs. Polygons where not all sides are different lengths.

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	COMMENTS	`All examples in this Problem are outlines of convex polygons.` `This is a generalisation of scalene triangles to any polygon.`
	CROSSREFS	`The left side implies the right side of BP329 (regular vs. irregular polygons), but the converse is not true.` `The left side of BP329 implies the right side, but the converse is not true.` `Adjacent-numbered pages: BP919 BP920 BP921 BP922 BP923 * BP925 BP926 BP927 BP928 BP929`
	EXAMPLE	`Any scalene triangle will fit on the left, because no two sides are equal.` `However, any regular polygon will not fit on the left, because all of its sides are equal.` `A random convex polygon will "almost surely" fit on the left.`
	KEYWORD	`nice, stretch, right-narrow, traditional`
	CONCEPT	`all (info \| search)`
	WORLD	`polygon_outline [smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP923

Bongard Problem with solution relating to concept: permutation vs. Bongard Problem unrelated to this concept.

BP842

BP904

BP922

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	CROSSREFS	`Adjacent-numbered pages: BP918 BP919 BP920 BP921 BP922 * BP924 BP925 BP926 BP927 BP928`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "permutation"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP922

One row is rearranged to make the other by swapping an odd number of object pairs vs. one row is rearranged to make the other by swapping an even number of object pairs.

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	COMMENTS	`The mathematical terms for these operations are even and odd permutations.`
	CROSSREFS	`Adjacent-numbered pages: BP917 BP918 BP919 BP920 BP921 * BP923 BP924 BP925 BP926 BP927`
	KEYWORD	`precise, allsorted, math, left-narrow, right-narrow, unorderedpair, preciseworld, left-listable`
	CONCEPT	`even_odd (info \| search),` `permutation (info \| search)`
	AUTHOR	`Leo Crabbe`

BP921

Bongard Problem with solution relating to concept: gravity vs. Bongard Problem unrelated to this concept.

	BP199	BP234	BP273	BP274	BP551	BP896
	BP933

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	CROSSREFS	`Adjacent-numbered pages: BP916 BP917 BP918 BP919 BP920 * BP922 BP923 BP924 BP925 BP926`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "gravity"`
	AUTHOR	`Leo Crabbe`

BP920

Is exact specific image (EX6205) vs. is not.

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	COMMENTS	`A spot-the-difference exercise.` `Arguably invalid (solution not simple).`
	CROSSREFS	`Adjacent-numbered pages: BP915 BP916 BP917 BP918 BP919 * BP921 BP922 BP923 BP924 BP925`
	KEYWORD	`less, precise, convoluted, arbitrary, stretch, unstable, left-finite, left-full, perfect, pixelperfect, experimental, funny`
	CONCEPT	`imperfection_small (info \| search),` `specificity (info \| search)`
	WORLD	`bmp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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