The On-Line Encyclopedia of Bongard Problems

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"No panels vs. dots" or "dots vs. no panels" vs. other dots Bongard Problem.

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	CROSSREFS	`Adjacent-numbered pages: BP1037 BP1038 BP1039 BP1040 BP1041 * BP1043 BP1044 BP1045 BP1046 BP1047`
	KEYWORD	`less, precise, allsorted, notso, meta (see left/right), miniproblems, example, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	CONCEPT	`or (info \| search)`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Dots Bongard Problem vs. nothing.

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	CROSSREFS	`Adjacent-numbered pages: BP1038 BP1039 BP1040 BP1041 BP1042 * BP1044 BP1045 BP1046 BP1047 BP1048`
	KEYWORD	`less, precise, allsorted, notso, meta (see left/right), miniproblems, example, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger] zoom in right (nothing)`
	AUTHOR	`Aaron David Fairbanks`

Valid multi-sided Bongard Problems vs. invalid multi-sided Bongard Problems.

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	COMMENTS	`This is a generalisation of Bongard Problems that allows them to have any number of sides. There is a sense in which this problem is about valid vs. invalid ways of partitioning a set of examples into equivalence classes.`
	CROSSREFS	`https://en.wikipedia.org/wiki/Equivalence_class` `Adjacent-numbered pages: BP1148 BP1149 BP1150 BP1151 BP1152 * BP1154 BP1155 BP1156 BP1157 BP1158`
	KEYWORD	`abstract, teach, meta (see left/right), miniproblems, infodense, structure, rules, miniworlds`
	WORLD	`zoom in left`
	AUTHOR	`Leo Crabbe`

The order in which the objects in the top half are combined to make the object in the lower half matters vs. not so.

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	COMMENTS	`Operations depicted in right-sorted examples are called "commutative".` `"Order matters" here means that if the objects in the top half were to switch places, the output would look different.`
	REFERENCE	`https://en.wikipedia.org/wiki/Commutative_property`
	CROSSREFS	`Adjacent-numbered pages: BP1152 BP1153 BP1154 BP1155 BP1156 * BP1158 BP1159 BP1160 BP1161 BP1162`
	KEYWORD	`nice, abstract, unwordable, notso, structure, rules, miniworlds`
	CONCEPT	`function (info \| search)`
	AUTHOR	`Leo Crabbe`

One natural way of matching up the two collections vs. multiple natural ways of matching up the two collections.

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	COMMENTS	`Jago originally designed this as a triptych. EX9655, EX9656, and EX9657 belong in a third category displayed further right of the two categories shown here. The third category is "all possible ways of matching are equally natural". - Aaron David Fairbanks, Apr 18 2022`
	CROSSREFS	`Adjacent-numbered pages: BP1186 BP1187 BP1188 BP1189 BP1190 * BP1192 BP1193 BP1194 BP1195 BP1196`
	KEYWORD	`nice, abstract, creativeexamples, structure, miniworlds, dithering`
	AUTHOR	`Jago Collins`

The rule is about squares having a certain relationship with their neighbors vs. it is not.

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	COMMENTS	`"Local vs. global."` `For clarity, rules involving diagonal neighbors or squares more than one step away are never used.` `The similar solution "Each square can be deduced from its neighbors vs. not so" does not quite work; for example EX8114 would then not fit left. See also BP1258 ("Each square can be deduced from the rest vs. not so").`
	CROSSREFS	`Adjacent-numbered pages: BP1252 BP1253 BP1254 BP1255 BP1256 * BP1258 BP1259 BP1260 BP1261 BP1262`
	KEYWORD	`structure, rules, grid, miniworlds`
	CONCEPT	`local_global (info \| search)`
	WORLD	`grid_of_images_with_rule [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Same transformation applied to circle, triangle, and square vs. different transformations applied.

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	CROSSREFS	`BP839 is about applying opposite transformations to a single object.` `Adjacent-numbered pages: BP1255 BP1256 BP1257 BP1258 BP1259 * BP1261 BP1262 BP1263 BP1264 BP1265`
	KEYWORD	`easy, nice, abstract, arbitrary, anticomputer, left-null, structure, orderedtriplet, traditional, rules`
	CONCEPT	`circle (info \| search),` `analogy (info \| search),` `square (info \| search),` `same (info \| search),` `triangle (info \| search),` `function (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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