The On-Line Encyclopedia of Bongard Problems

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BP803

Image of Bongard Problem such that rotating by a half-turn leaves the solution invariant versus not so.

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	CROSSREFS	`Adjacent-numbered pages: BP798 BP799 BP800 BP801 BP802 * BP804 BP805 BP806 BP807 BP808`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger] zoom in left (half_turn_invariant_bp_image_3_per_side)`
	AUTHOR	`Aaron David Fairbanks`

BP827

Image of noisy Bongard Problem vs. image of Bongard Problem with minimal noise.

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	COMMENTS	`"Noise" is a property that changes between examples which is independent to the solution property.`
	CROSSREFS	`See BP511 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `See BP845 for noise in sequences of quantity increase.` `Adjacent-numbered pages: BP822 BP823 BP824 BP825 BP826 * BP828 BP829 BP830 BP831 BP832`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, contributepairs`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP828

Image of Bongard Problem with one simple solution vs. image of Bongard Problem with two "independent" simple solutions.

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	COMMENTS	`Properties are considered independent if none logically implies the other (or its opposite).` `Another way of putting it is that on the right, the most descriptive good solution is of the form "[property 1] AND [property 2] vs. neither".`
	CROSSREFS	`Adjacent-numbered pages: BP823 BP824 BP825 BP826 BP827 * BP829 BP830 BP831 BP832 BP833`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure`
	CONCEPT	`exists_one (info \| search),` `two (info \| search)`
	WORLD	`boxes_bpimage_three_per_side [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`

BP831

Image of a Bongard Problem with left side having two rules and right side narrowing it down vs. image of Bongard Problem whose right hand side adds no information.

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	COMMENTS	`Right examples are Bongard Problems in which the left hand side is enough to communicate the full answer.` `No examples shown have right side with multiple rules and left side narrowing down the answer.`
	CROSSREFS	`Adjacent-numbered pages: BP826 BP827 BP828 BP829 BP830 * BP832 BP833 BP834 BP835 BP836`
	KEYWORD	`hard, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure, contributepairs`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP832

Image of a Bongard Problem with solution presence of a specific object vs. image of a Bongard Problem with solution presence of a type of object.

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	COMMENTS	`"Specific object" we mean the same connected figure (up to movement around the box). It is ambiguous whether a scaled, rotated, or reflected version of an object would be considered "the same object" because no examples on either side are forced to deal with that subtlety in their respective solutions.`
	CROSSREFS	`Adjacent-numbered pages: BP827 BP828 BP829 BP830 BP831 * BP833 BP834 BP835 BP836 BP837`
	KEYWORD	`meta (see left/right), miniproblems, assumesfamiliarity, structure, presentationinvariant`
	CONCEPT	`existence (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP833

Image of a Bongard Problem with (left) solution property that can have multiplicity vs. not so.

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	COMMENTS	`All examples are "object present vs. object absent" Problems.`
	CROSSREFS	`Adjacent-numbered pages: BP828 BP829 BP830 BP831 BP832 * BP834 BP835 BP836 BP837 BP838`
	KEYWORD	`abstract, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	CONCEPT	`existence (info \| search),` `number (info \| search),` `one (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP834

Image of a Bongard Problem such that the bottom left box rules out a solution vs. no single box affects the solution.

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	COMMENTS	`When removal of a box changes the solution, it cannot remove the existing solution; it can only allow more possible new solutions. Conversely, adding boxes can only narrow down between existing solutions.` `The special box is always placed in the bottom left for help, but another solution is "there is some box whose removal allows another solution vs. not".` `Bongard Problems sorted left might be called "deceptive". Especially when the solution ruled out by the one box is the more obvious solution.`
	CROSSREFS	`Adjacent-numbered pages: BP829 BP830 BP831 BP832 BP833 * BP835 BP836 BP837 BP838 BP839`
	KEYWORD	`meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP835

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`

BP836

Image of a Bongard Problem with solution about a geometrical symmetry (invariance under spatial transformation) vs. not so.

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	COMMENTS	`Every Bongard Problem on the left shows invariance under some transformation in left sub-examples.` `Some Bongard Problems on the right are symmetrical or have sub-examples that are symmetrical.`
	CROSSREFS	`See BP760 for the version with links to pages on the OEBP instead of images of Bongard Problems.` `Adjacent-numbered pages: BP831 BP832 BP833 BP834 BP835 * BP837 BP838 BP839 BP840 BP841`
	KEYWORD	`meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	CONCEPT	`symmetry (info \| search)`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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