The On-Line Encyclopedia of Bongard Problems

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Contains smaller copy of itself vs. doesn't.

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	CROSSREFS	`Adjacent-numbered pages: BP528 BP529 BP530 BP531 BP532 * BP534 BP535 BP536 BP537 BP538`
	EXAMPLE	`A smaller copy of EX6409 (the black area) can be located within itself, but some of the white space inside it is not retained in this smaller copy.`
	KEYWORD	`perfect, infinitedetail, contributepairs`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`connected_built_from_self_tile_fractals [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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`

Any permutation of positions that sends one string of symbols to another sends each string of symbols to some other versus not so.

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	COMMENTS	`Restriction of BP841 to permutations.`
	CROSSREFS	`Adjacent-numbered pages: BP837 BP838 BP839 BP840 BP841 * BP843 BP844 BP845 BP846 BP847`
	KEYWORD	`hard, contributepairs, traditional`
	CONCEPT	`permutation (info \| search)`
	WORLD	`zoom in left \| zoom in right`
	AUTHOR	`Aaron David Fairbanks`

"Noisy" properties changing independent of the consistently increasing quantity vs. not so.

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	COMMENTS	`"Noisy" sequences of change vs. "minimalist" sequences of change.`
	CROSSREFS	`See BP511 for noise in BPs.` `See BP827 for noise in images of BPs.` `Adjacent-numbered pages: BP840 BP841 BP842 BP843 BP844 * BP846 BP847 BP848 BP849 BP850`
	KEYWORD	`creativeexamples, structure, contributepairs, rules`
	WORLD	`quantity_change_seq_increase_right_noise_allowed [smaller \| same \| bigger] zoom in right (quantity_change_seq_increase_right)`
	AUTHOR	`Aaron David Fairbanks`

A quantity increases by fixed constant amount each step vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP841 BP842 BP843 BP844 BP845 * BP847 BP848 BP849 BP850 BP851`
	KEYWORD	`creativeexamples, structure, contributepairs, rules`
	WORLD	`quantity_change_seq_increase_right [smaller \| same \| bigger] zoom in right (constant_change_seq_increase_right)`
	AUTHOR	`Aaron David Fairbanks`

Lower bound object shown vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP843 BP844 BP845 BP846 BP847 * BP849 BP850 BP851 BP852 BP853`
	KEYWORD	`creativeexamples, structure, contributepairs, rules`
	WORLD	`constant_change_seq_increase_right_low_bound_obj [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Object shown below is the "limit" of the sequence above (end result after "infinite time") versus not so.

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	COMMENTS	`The conceptual limit of the sequence may not be the limit of the points in the image. For example in a sequence of halvings the limit value is never reached, so the bottom would never change color and thus its limit would not would not either.` `Sequences progress from left to right (and there is not usually a way to intuitively extend the sequence in the other direction).`
	CROSSREFS	`Adjacent-numbered pages: BP847 BP848 BP849 BP850 BP851 * BP853 BP854 BP855 BP856 BP857`
	KEYWORD	`notso, creativeexamples, perfect, infinitedetail, assumesfamiliarity, structure, contributepairs, rules`
	AUTHOR	`Aaron David Fairbanks`

Sharp vs. blurry

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	CROSSREFS	`Adjacent-numbered pages: BP898 BP899 BP900 BP901 BP902 * BP904 BP905 BP906 BP907 BP908`
	KEYWORD	`contributepairs`
	CONCEPT	`contrast (info \| search),` `curve_texture (info \| search)`
	AUTHOR	`Cameron Fetter`

Imperfectly drawn shapes vs. perfectly drawn shapes.

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	CROSSREFS	`Adjacent-numbered pages: BP907 BP908 BP909 BP910 BP911 * BP913 BP914 BP915 BP916 BP917`
	KEYWORD	`perfect, contributepairs`
	CONCEPT	`curve_texture (info \| search)`
	WORLD	`zoom in right (shape_outline)`
	AUTHOR	`Leo Crabbe`

Optical illusions vs. not so.

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	COMMENTS	`Panels on the left hand side contain geometrical objects that appear distorted (to a human) due to surrounding information.`
	REFERENCE	`Vicente Sierra-Vázquez & Ignacio Serrano-Pedraza, Application of Riesz transforms to the isotropic AM-PM decomposition of geometrical-optical illusion images, April 2010, Figure 1.`
	CROSSREFS	`Adjacent-numbered pages: BP934 BP935 BP936 BP937 BP938 * BP940 BP941 BP942 BP943 BP944`
	KEYWORD	`fuzzy, anticomputer, subjective, contributepairs, invalid, experimental`
	CONCEPT	`length_line_or_curve (info \| search),` `visual_illusion (info \| search)`
	AUTHOR	`Leo Crabbe`

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