The On-Line Encyclopedia of Bongard Problems

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Object-wise comparison Bongard Problems where the number of objects in each panel can vary vs. object-wise comparison Bongard Problems with a fixed number of objects in each panel.

	BP318	BP840	BP841	BP842	BP1135	BP1138
	BP1157	BP1175

BP922

BP1110

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

	COMMENTS	`This Problem sorts all sequence and grid Problems on its left, and all orderedpair, unorderedpair, orderedtriplet, unorderedtriplet, fixedsequence, and fixedgrid Problems on its left.` `Right-sorted examples could collectively be called "n-wise comparison Problems".`
	CROSSREFS	`Adjacent-numbered pages: BP1174 BP1175 BP1176 BP1177 BP1178 * BP1180 BP1181 BP1182 BP1183 BP1184`
	KEYWORD	`meta (see left/right), links`
	WORLD	`zoom in left`
	AUTHOR	`Leo Crabbe`

BP1180

Bongard Problems where every example establishes its own distinct "world" of allowed objects vs. Bongard Problems where every example pulls from the same set of allowed objects.

BP139	BP142	BP144	BP145	BP353	BP354
BP356	BP357	BP360	BP364	BP365	BP373
BP379	BP380	BP393	BP792	BP841	BP917
BP951	BP979	BP981	BP998	BP999	BP1003
BP1004	BP1049	BP1110	BP1123	BP1127	BP1153
BP1157	BP1175	BP1185	BP1191	BP1257	. . .

	BP48	BP90	BP121	BP149	BP189	BP291
	BP840	BP956

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

	COMMENTS	`Left-sorted Problems have the keyword "miniworlds" on the OEBP.` `All examples in this Problem are visual Bongard Problems with multiple objects in most panels. This is key as an intuitive set of allowable objects needs to be communicated by any one sorted image.` `There is a decent degree of overlap between rules and "miniworlds", but BP1049 is an example of a "miniworlds" problem where the rule is constant across examples, and BP1155 is an example of a "rules" Problem that would not be tagged "miniworlds".` `Although this Problem does sort any BP whose examples are images of Bongard Problems left, it is probably best not to consider them to avoid clutter and more unnecessary keywords being attached to them.`
	CROSSREFS	`Adjacent-numbered pages: BP1175 BP1176 BP1177 BP1178 BP1179 * BP1181 BP1182 BP1183 BP1184 BP1185`
	KEYWORD	`meta (see left/right), links, keyword`
	WORLD	`visualbp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP1181

Unordered object-wise comparison Bongard Problems where the number of objects can vary between examples vs. similar Bongard Problems where certain objects are distinguishable in some consistent way across all examples.

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

	COMMENTS	`Any "sequence" (BP929^left) or "grid" (BP1176^left) Problems will be sorted right.`
	CROSSREFS	`Adjacent-numbered pages: BP1176 BP1177 BP1178 BP1179 BP1180 * BP1182 BP1183 BP1184 BP1185 BP1186`
	KEYWORD	`unwordable, meta (see left/right), links`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP1182

Meta Bongard Problems about object-wise comparison vs. other meta Bongard Problems.

	BP787	BP908	BP909	BP928	BP929	BP1176
	BP1177	BP1179	BP1180	BP1181

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

	CROSSREFS	`Adjacent-numbered pages: BP1177 BP1178 BP1179 BP1180 BP1181 * BP1183 BP1184 BP1185 BP1186 BP1187`
	KEYWORD	`notso, meta (see left/right), links`
	AUTHOR	`Leo Crabbe`

BP1183

One resolution vs. another.

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

	CROSSREFS	`Adjacent-numbered pages: BP1178 BP1179 BP1180 BP1181 BP1182 * BP1184 BP1185 BP1186 BP1187 BP1188`
	KEYWORD	`precise, arbitrary, pixelperfect, contributepairs, right-couldbe, preciseworld`
	AUTHOR	`Leo Crabbe`

BP1184

Polygon enclosed in smallest possible circle vs. not so.

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

	COMMENTS	`Intuitively, if one imagines shaking the circles in each example, the polygons in right-sorted examples could be imagined to "rattle around".`
	CROSSREFS	`Adjacent-numbered pages: BP1179 BP1180 BP1181 BP1182 BP1183 * BP1185 BP1186 BP1187 BP1188 BP1189`
	KEYWORD	`precise, allsorted, dithering`
	AUTHOR	`Leo Crabbe`

BP1185

Smaller section tiles the grid (element-wise rotation of tiles allowed) vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1180 BP1181 BP1182 BP1183 BP1184 * BP1186 BP1187 BP1188 BP1189 BP1190`
	KEYWORD	`precise, allsorted, notso, grid, miniworlds`
	CONCEPT	`element_wise_symmetry (info \| search),` `tiling (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1186

Bongard Problem with solution relating to concept: element-wise symmetry vs. Bongard Problem unrelated to this concept.

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

	CROSSREFS	`Adjacent-numbered pages: BP1181 BP1182 BP1183 BP1184 BP1185 * BP1187 BP1188 BP1189 BP1190 BP1191`
	KEYWORD	`meta (see left/right), links, metaconcept`
	CONCEPT	`This MBP is about BPs that feature concept: "element_wise_symmetry"`
	WORLD	`bp [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP1187

Smaller section tiles the grid vs. not so.

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

	CROSSREFS	`See BP1185 for the version of this solution where element-wise rotation of tiles is allowed.` `Adjacent-numbered pages: BP1182 BP1183 BP1184 BP1185 BP1186 * BP1188 BP1189 BP1190 BP1191 BP1192`
	KEYWORD	`allsorted, notso, grid`
	CONCEPT	`element_wise_symmetry (info \| search),` `tiling (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1188

Bongard Problems where there exists an overlap between the collections shown left and right vs. other Bongard Problems.

BP1

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

	COMMENTS	`Left-sorted Bongard Problems have the keyword "both" on the OEBP.` `The archetypal example is "rhombuses vs. rectangles".` `Notice "rhombuses vs. rectangles" could alternatively be interpreted as "not rectangles vs. not rhombuses"; by this less natural interpretation, a square would fit on neither side (keyword neither) rather than both.` `In fact, for any Bongard Problem solution "A vs. B", there are three alternative solution descriptions: "A vs. not A", "not B vs. B", and "not B vs. not A". These are not necessarily just different wordings of the same answer. For example, "rhombuses vs. not rhombuses" and "not rectangles vs. rectangles" differ on where they would sort a square. (This discrepancy between "A vs. not A" and "B vs. not B" occurs whenever "A vs. B" does not sort all relevant cases. See the keyword allsorted.)` `"Is a rhombus" and "is a rectangle" are what are on the OEBP called "narrow" patterns, while "is not a rectangle" and "is not a rhombus" are not. (See keywords left-narrow and right-narrow for more explanation.)`
	CROSSREFS	`The keywords both and allsorted are mutually exclusive.` `Adjacent-numbered pages: BP1183 BP1184 BP1185 BP1186 BP1187 * BP1189 BP1190 BP1191 BP1192 BP1193`
	KEYWORD	`meta (see left/right), links, keyword`
	AUTHOR	`Aaron David Fairbanks`

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