The On-Line Encyclopedia of Bongard Problems

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BP1003

The combined collection obeys the same rule as the sub-collections vs. not so.

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	COMMENTS	`Since it is most intuitive to imagine spatially squishing together all the collections in the process of combining them into one big collection, avoid rules that involve relative spatial positionings of objects.`
	CROSSREFS	`Contrast BP999, which is very similar. There, when considering the whole picture, the collections are to be treated as individual objects; here, when considering the whole picture, the collections are to be combined into one big collection. A picture showing (for example) an odd number of even-numbered groups would be sorted differently by these two BPs.` `Also contrast BP1004, which is about a collection of plain objects obeying the same rule as all the objects (instead of a collection of [collections of objects] obeying the same rule as all the [collections of objects]).` `See BP1006 for the version with only number-based properties. All panels in that Bongard Problem fit the same way in this Bongard Problem as well.` `Adjacent-numbered pages: BP998 BP999 BP1000 BP1001 BP1002 * BP1004 BP1005 BP1006 BP1007 BP1008`
	KEYWORD	`nice, abstract, notso, creativeexamples, rules, miniworlds`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe, Aaron David Fairbanks`

BP1004

The whole satisfies the same rule as its parts vs. not so.

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	COMMENTS	`The "whole" is the entire panel including the bounding box. A "part" is some region either stylistically different or amply separated in space from everything else. Smaller parts-within-parts don't count as parts.` `Rhetorical question: Where would the collection of left examples of this Bongard Problem be sorted by this Bongard Problem? (The question is whether these examples considered together satisfy the pattern that all the parts do, namely that the whole satisfies the pattern that all the parts do.)` `See BP793 and BP999 for similar paradoxes.`
	CROSSREFS	`See BP1006 for the version about numerical properties where each part is a cluster of dots; examples in that BP would be sorted the same way here that they are there.` `See BP999 and BP1003 for versions where each object is itself a collection of objects, so that the focus is on rules specifically pertaining to collections (e.g. "all the objects are different").` `See BP1002 for a Bongard Problem about only visual self-similarity instead of conceptual self-similarity.` `The rule shown in each panel is "narrow" (see BP513^left and BP514^left).` `Adjacent-numbered pages: BP999 BP1000 BP1001 BP1002 BP1003 * BP1005 BP1006 BP1007 BP1008 BP1009`
	KEYWORD	`nice, abstract, anticomputer, creativeexamples, left-narrow, rules, miniworlds`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1005

The collection of dot clumps has the same numerical property as each of the dot clumps vs. not so.

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	CROSSREFS	`This is a version of BP999 with only numbers.` `Contrast BP1006, which is very similar.` `Adjacent-numbered pages: BP1000 BP1001 BP1002 BP1003 BP1004 * BP1006 BP1007 BP1008 BP1009 BP1010`
	KEYWORD	`nice, notso, hardsort, left-narrow, rules`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`[smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Aaron David Fairbanks`

BP1006

The sum of all dot clumps has the same numerical property as each of the dot clumps vs. not so.

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	CROSSREFS	`This is a version of BP1003 with only numbers.` `Contrast BP1005, which is very similar.` `Adjacent-numbered pages: BP1001 BP1002 BP1003 BP1004 BP1005 * BP1007 BP1008 BP1009 BP1010 BP1011`
	KEYWORD	`nice, hardsort, left-narrow, rules`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`[smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Leo Crabbe, Aaron David Fairbanks`

BP1007

Meta Meta Meta Bongard Problems vs. other Bongard Problems.

BP547

BP1007

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	CROSSREFS	`Adjacent-numbered pages: BP1002 BP1003 BP1004 BP1005 BP1006 * BP1008 BP1009 BP1010 BP1011 BP1012`
	KEYWORD	`meta (see left/right), links, keyword, left-self, metameta, metametameta, feedback, funny`
	CONCEPT	`recursion_number (info \| search),` `recursion (info \| search)`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1008

The 26th from the left, 63rd from the top pixel is black versus white.

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	COMMENTS	`This is a typical kind of joke answer people give for Bongard Problems when they cannot find an answer.`
	CROSSREFS	`Adjacent-numbered pages: BP1003 BP1004 BP1005 BP1006 BP1007 * BP1009 BP1010 BP1011 BP1012 BP1013`
	KEYWORD	`dual, arbitrary, handed, leftright, updown, boundingbox, blackwhite, antihuman, right-null, perfect, pixelperfect, help, experimental, funny, absoluteposition, bordercontent`
	CONCEPT	`specificity (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1009

Visual Bongard Problems such that flipping over horizontal axis (up/down) can switch an example's side vs. visual Bongard Problems whose examples' sorting does not change under such a transformation.

BP36	BP199	BP286	BP313	BP337	BP363
BP551	BP896	BP972	BP1008	BP1014	BP1161
BP1213	BP1215	BP1216	BP1217	BP1218	BP1271

BP1122

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	COMMENTS	`Left-sorted Bongard Problems have the keyword "updown" on the OEBP.`
	CROSSREFS	`See leftright.` `All "updown" Problems are handed.` `Adjacent-numbered pages: BP1004 BP1005 BP1006 BP1007 BP1008 * BP1010 BP1011 BP1012 BP1013 BP1014`
	KEYWORD	`meta (see left/right), links, keyword, invariance`
	WORLD	`handed_visualbp [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1010

Bongard Problems about the properties of 2D representations of 3D objects vs. (still 2D) Bongard Problems about the properties of the 3D objects represented.

?
BP250

?
BP331

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	COMMENTS	`Left-sorted Bongard Problems have the keyword "projectionmatters" on the OEBP.` `Right-sorted Bongard Problems have the keyword "3d" on the OEBP.`
	CROSSREFS	`See BP895 (presentationmatters vs. presentationinvariant) for a similar idea: there Bongard Problems are to Bongard Problem solutions as here 2D representations are to 3D objects.` `Adjacent-numbered pages: BP1005 BP1006 BP1007 BP1008 BP1009 * BP1011 BP1012 BP1013 BP1014 BP1015`
	KEYWORD	`meta (see left/right), links, keyword, sideless, dependence`
	AUTHOR	`Leo Crabbe`

BP1011

Polygon can be inscribed in a circle vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1006 BP1007 BP1008 BP1009 BP1010 * BP1012 BP1013 BP1014 BP1015 BP1016`
	KEYWORD	`hard, precise, stretch, challenge, left-narrow, perfect, preciseworld`
	CONCEPT	`circle (info \| search),` `imagined_entity (info \| search)`
	WORLD	`fill_polygon [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP1012

No tile shares a partial side with another tile vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1007 BP1008 BP1009 BP1010 BP1011 * BP1013 BP1014 BP1015 BP1016 BP1017`
	KEYWORD	`precise, allsorted, perfect`
	CONCEPT	`infinite_plane (info \| search),` `tessellation (info \| search),` `tiling (info \| search)`
	WORLD	`wallpaper_tiling_1_polygon [smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

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