The On-Line Encyclopedia of Bongard Problems

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A reflection can switch an object's sorting vs. not so.

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	COMMENTS	`In particular, horizontal reflections work in all left examples.` `An image of this Bongard Problem would fit on the left.`
	CROSSREFS	`See BP552 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `Adjacent-numbered pages: BP866 BP867 BP868 BP869 BP870 * BP872 BP873 BP874 BP875 BP876`
	KEYWORD	`hard, abstract, challenge, meta (see left/right), miniproblems, creativeexamples, presentationmatters, infodense, assumesfamiliarity, structure`
	WORLD	`bpimage_shapes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Solution is a quantity comparison vs. solution does not involve quantity.

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	CROSSREFS	`See BP873 for comparisons based on discrete quantities vs. comparisons based on continuous quantities. All examples in that Bongard Problem fit left here.` `Similar to BP200 with sides flipped. (However, "Bongard Problem based on quantity" is a more general criterion than "Bongard Problem based on discrete counting.")` `See BP507 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `Adjacent-numbered pages: BP869 BP870 BP871 BP872 BP873 * BP875 BP876 BP877 BP878 BP879`
	KEYWORD	`meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes [smaller \| same \| bigger] zoom in left (bpimage_shapes_quantity_soln)`
	AUTHOR	`Aaron David Fairbanks`

Precise sorting of potential examples vs. not so.

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	COMMENTS	`Left Bongard Problems do not have to sort all relevant examples; if they would leave some border cases unsorted, it just has to be clear precisely which examples those would be.` `Often a precise divide between values on a spectrum comes from intuitively "crossing a threshold." For example, there is an intuitive threshold between acute and obtuse angles. Two sides of a Bongard Problem on opposite ends of a threshold, coming close to it, are interpreted as having precise divide between sides, right up against that threshold.`
	CROSSREFS	`See BP508 for the version with links to pages on the OEBP instead of images of Bongard Problems.` `Adjacent-numbered pages: BP871 BP872 BP873 BP874 BP875 * BP877 BP878 BP879 BP880 BP881`
	KEYWORD	`hard, notso, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes [smaller \| same \| bigger] zoom in left (bpimage_shapes_exact_sort)`
	AUTHOR	`Aaron David Fairbanks`

Some object(s) fit precisely between the sides vs. there is no object fitting between the sides.

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	COMMENTS	`"Allsorted" Bongard Problems (BP875^left) always fit as right examples.` `Left examples are never "allsorted".`
	CROSSREFS	`Adjacent-numbered pages: BP873 BP874 BP875 BP876 BP877 * BP879 BP880 BP881 BP882 BP883`
	KEYWORD	`hard, challenge, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure, presentationinvariant`
	WORLD	`bpimage_shapes_exact_sort [smaller \| same \| bigger] zoom in left \| zoom in right (bpimage_shapes_exact_sort_no_midway)`
	AUTHOR	`Aaron David Fairbanks`

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