The On-Line Encyclopedia of Bongard Problems

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Shapes are congruent if (and only if) they are enclosed in the same space vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1077 BP1078 BP1079 BP1080 BP1081 * BP1083 BP1084 BP1085 BP1086 BP1087`
	KEYWORD	`stub, precise, allsorted`
	CONCEPT	`iff (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1080

Image of a Bongard Problem vs. other image.

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	COMMENTS	`Various formats of Bongard Problems frequently seen on the OEBP are showcased on the left side here.`
	CROSSREFS	`See BP968, which distinguishes solvable Bongard Problems from other images still formatted like Bongard Problems (as opposed to this page, which distinguishes Bongard Problems from any other images.)` `Adjacent-numbered pages: BP1075 BP1076 BP1077 BP1078 BP1079 * BP1081 BP1082 BP1083 BP1084 BP1085`
	KEYWORD	`notso, teach, left-narrow, right-null`
	CONCEPT	`bongard_problem (info \| search),` `categorization (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1017

Line segments linking same-coloured dots would intersect vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1012 BP1013 BP1014 BP1015 BP1016 * BP1018 BP1019 BP1020 BP1021 BP1022`
	KEYWORD	`easy, nice, precise, allsorted, perfect, traditional, finishedexamples, preciseworld`
	CONCEPT	`lines_coincide (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `overlap (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1013

Neighbouring tiles share exactly 1 side vs not so.

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	CROSSREFS	`Adjacent-numbered pages: BP1008 BP1009 BP1010 BP1011 BP1012 * BP1014 BP1015 BP1016 BP1017 BP1018`
	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`

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`

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`

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

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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`

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`

BP1003

The combined collection fits 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`

BP996

Net corresponds to a convex solid vs. net corresponds to a concave solid.

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	CROSSREFS	`Adjacent-numbered pages: BP991 BP992 BP993 BP994 BP995 * BP997 BP998 BP999 BP1000 BP1001`
	KEYWORD	`precise, 3d, perfect, preciseworld`
	WORLD	`polyhedron_net_unique_solid [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

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