The On-Line Encyclopedia of Bongard Problems

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BP791

The leftmost two angles measured from thin line add to the rightmost versus no two angles add to a third.

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	COMMENTS	`This answer is independent of whether angles are measured clockwise or counter-clockwise; only a consistent choice must be made.`
	CROSSREFS	`Adjacent-numbered pages: BP786 BP787 BP788 BP789 BP790 * BP792 BP793 BP794 BP795 BP796`
	KEYWORD	`math, structure, orderedtriplet, traditional`
	CONCEPT	`addition (info \| search),` `2_inputs_1_output (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP792

Complete finite collection versus incomplete infinite collection.

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	COMMENTS	`Related to BP379 and BP380.` `EX10061 can ambiguously be taken to be self-referential as the either set of left-hand examples (which would make the right hand solution only "incomplete sets") or the class of finite sets.`
	CROSSREFS	`Adjacent-numbered pages: BP787 BP788 BP789 BP790 BP791 * BP793 BP794 BP795 BP796 BP797`
	KEYWORD	`abstract, creativeexamples, rules, miniworlds, collection`
	CONCEPT	`completeness (info \| search),` `finite_infinite (info \| search)`
	WORLD	`collection_of_objects_same_type [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.` `Bongard Problems fitting left here evidently come in three categories: 1) would sort all Bongard Problems with the same solution left, 2) would sort all Bongard Problems with the same solution right, or 3) would sort some Bongard Problems with the same solution left and some right. See BP927.`
	CROSSREFS	`See BP517 for the version with links to pages on the OEBP instead of images of Bongard Problems (miniproblems).` `See BP954, which is about Bongard Problems not only sorting themselves, but moreover fractally appearing in themselves as panels.` `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`

BP797

Image conceptually relates to the golden ratio/Fibonacci numbers versus not so.

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	CROSSREFS	`BP800 is the metaconcept page for this concept.` `Adjacent-numbered pages: BP792 BP793 BP794 BP795 BP796 * BP798 BP799 BP800 BP801 BP802`
	KEYWORD	`abstract, math, concept, experimental`
	CONCEPT	`golden_ratio (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP801

Number pointed to on number line is "important" mathematical constant vs. not so.

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	COMMENTS	`This is the "harder version" of BP505.`
	CROSSREFS	`Adjacent-numbered pages: BP796 BP797 BP798 BP799 BP800 * BP802 BP803 BP804 BP805 BP806`
	KEYWORD	`hard, less, abstract, math, subjective, challenge, right-unknowable, collective, experimental, finishedexamples`
	AUTHOR	`Aaron David Fairbanks`

BP802

Image of Bongard Problem such that reflecting over the dividing line leaves the solution invariant versus not so.

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	CROSSREFS	`Adjacent-numbered pages: BP797 BP798 BP799 BP800 BP801 * BP803 BP804 BP805 BP806 BP807`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, presentationmatters, assumesfamiliarity, structure`
	WORLD	`boxes_bpimage [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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`

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`

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