The On-Line Encyclopedia of Bongard Problems

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BP533

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`

BP534

Bongard Problems such that potential left examples can intuitively be put in bijection with potential right examples vs. other Bongard Problems.

BP7	BP8	BP19	BP36	BP43	BP45
BP54	BP55	BP63	BP64	BP67	BP95
BP106	BP109	BP157	BP158	BP180	BP196
BP197	BP211	BP234	BP278	BP279	BP286
BP313	BP337	BP357	BP363	BP372	BP513
BP514	BP515	BP516	BP517	BP793	. . .

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	COMMENTS	`This is the keyword "dual" on the OEBP.` `Given an example there is some way to "flip sides" by altering it. The left-to-right and right-to-left transformations should be inverses.` `It is not required that there only be one such transformation. For example, for many handed Bongard Problem, flipping an example over any axis will reliably switch its sorting.` `It is not required that every left example must have its corresponding right example uploaded on the OEBP nor vice versa. See the keyword contributepairs for the BPs the OEBP advises users upload left and right examples for in pairs.`
	CROSSREFS	`Adjacent-numbered pages: BP529 BP530 BP531 BP532 BP533 * BP535 BP536 BP537 BP538 BP539`
	KEYWORD	`meta (see left/right), links, keyword, sideless`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP535

Visual Bongard Problems such that flipping over the vertical axis (left/right) can switch an example's side vs. visual Bongard Problems whose examples' sorting doesn't change under such a transformation.

BP8	BP43	BP67	BP109	BP207	BP234
BP278	BP279	BP313	BP337	BP357	BP363
BP372	BP793	BP795	BP796	BP805	BP830
BP881	BP931	BP955	BP961	BP971	BP1008
BP1014	BP1024	BP1025	BP1027	BP1028	BP1029
BP1030	BP1031	BP1032	BP1033	BP1034	. . .

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	COMMENTS	`Left examples have the keyword "leftright" on the OEBP.`
	CROSSREFS	`See updown.` `All "leftright" Bongard Problems are handed.` `Adjacent-numbered pages: BP530 BP531 BP532 BP533 BP534 * BP536 BP537 BP538 BP539 BP540`
	KEYWORD	`meta (see left/right), links, keyword, sideless, invariance`
	WORLD	`handed_visualbp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP536

All gears can make complete turns vs. not so.

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	CROSSREFS	`See BP336 for one gear turns all.` `Adjacent-numbered pages: BP531 BP532 BP533 BP534 BP535 * BP537 BP538 BP539 BP540 BP541`
	KEYWORD	`stretch, physics, traditional`
	CONCEPT	`all (info \| search),` `gear (info \| search)`
	WORLD	`gears [smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Aaron David Fairbanks`

BP537

Meta Bongard Problems vs. other Bongard Problems.

BP200	BP501	BP503	BP504	BP506	BP507
BP508	BP509	BP510	BP511	BP512	BP513
BP514	BP515	BP516	BP517	BP518	BP519
BP520	BP521	BP522	BP526	BP534	BP535
BP537	BP539	BP541	BP542	BP544	BP546
BP547	BP549	BP550	BP552	BP553	. . .

	BP1	BP2	BP3	BP4	BP5	BP6
	BP7	BP8	BP9	BP10

?
BP1080

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	COMMENTS	`Bongard Problems sorted left have the keyword "meta" on the OEBP.` `Meta Bongard Problems are Bongard Problems that sort Bongard Problems. Sometimes abbreviated MBPs.` `The first meta Bongard Problem was BP200.` `Some meta BP pages sort images of Bongard Problems (keyword miniproblems), while other meta BP pages sort other BP pages (keyword links).`
	CROSSREFS	`BPs that sort meta-BPs are labelled metameta.` `Adjacent-numbered pages: BP532 BP533 BP534 BP535 BP536 * BP538 BP539 BP540 BP541 BP542`
	KEYWORD	`meta (see left/right), links, keyword, world, left-self, sideless, metameta, left-full, feedback`
	CONCEPT	`recursion (info \| search)`
	WORLD	`bp [smaller \| same \| bigger] zoom in left (linksbp)`
	AUTHOR	`Aaron David Fairbanks`

BP538

Shown is a box of this Bongard Problem (BP538) vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP533 BP534 BP535 BP536 BP537 * BP539 BP540 BP541 BP542 BP543`
	KEYWORD	`notso, left-finite, finished, invalid, experimental, funny`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP539

Meta Bongard Problems such that if the sides of an example Bongard Problem are switched its sorting within the meta Problem may switch vs. meta Bongard Problems that always sort flipped versions on the same side.

	BP513	BP514	BP515	BP516	BP517	BP567
	BP1073	BP1079	BP1081	BP1124	BP1159	BP1160

BP501	BP506	BP507	BP508	BP509	BP511
BP512	BP520	BP521	BP522	BP534	BP535
BP537	BP539	BP561	BP895	BP950	BP964
BP1010	BP1139	BP1140	BP1142	BP1167	BP1171

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	COMMENTS	`Left-sorted Bongard Problems have the keyword "side" on the OEBP.` `Right-sorted Bongard Problems have the keyword "sideless" on the OEBP.` `Here "flipping the sides" of a Bongard Problem does not flip the sides of the example BPs.`
	CROSSREFS	`Metaconcept implies "sideless".` `Adjacent-numbered pages: BP534 BP535 BP536 BP537 BP538 * BP540 BP541 BP542 BP543 BP544`
	KEYWORD	`meta (see left/right), links, keyword, right-self, sideless, invariance, metameta, left-it, feedback`
	AUTHOR	`Aaron David Fairbanks`

BP540

Objects define a map from the top row of boxes to the bottom row of boxes vs. not so.

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	REFERENCE	`https://en.wikipedia.org/wiki/Map_(mathematics)`
	CROSSREFS	`Adjacent-numbered pages: BP535 BP536 BP537 BP538 BP539 * BP541 BP542 BP543 BP544 BP545`
	AUTHOR	`Jago Collins`

BP541

Bongard Problems vs. anything else.

BP1

BP2

BP3

BP4

BP541

BP1073

blllmam

cat

nongard

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

	COMMENTS	`This refers to all Bongard Problem solution ideas. No need to be a particularly well-made or well-defined Bongard Problem.`
	CROSSREFS	`Adjacent-numbered pages: BP536 BP537 BP538 BP539 BP540 * BP542 BP543 BP544 BP545 BP546`
	KEYWORD	`notso, meta (see left/right), links, world, left-self, right-null, left-it, feedback`
	WORLD	`everything [smaller \| same] zoom in left (bp)`
	AUTHOR	`Aaron David Fairbanks`

BP542

BP Pages on the OEBP vs. anything else.

BP1

BP2

BP3

BP542

BP1073

BP0

nolab

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

	CROSSREFS	`Adjacent-numbered pages: BP537 BP538 BP539 BP540 BP541 * BP543 BP544 BP545 BP546 BP547`
	KEYWORD	`notso, meta (see left/right), links, oebp, world, left-self, right-null, left-it, feedback`
	WORLD	`everything [smaller \| same] zoom in left (bppage)`
	AUTHOR	`Aaron David Fairbanks`

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