The On-Line Encyclopedia of Bongard Problems

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Image contains the exact arrangement of pixels that form the "S" creature depicted in EX9532 in exactly one place vs. arrangement is present in multiple places.

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	CROSSREFS	`Adjacent-numbered pages: BP1163 BP1164 BP1165 BP1166 BP1167 * BP1169 BP1170 BP1171 BP1172 BP1173`
	EXAMPLE	`This Problem was made to serve as an example of something BP1166 would sort on its left.`
	KEYWORD	`precise, arbitrary, example, pixelperfect, help, neither, preciseworld`
	AUTHOR	`Leo Crabbe`

BP1175

Each symbol appears once in any given row or column vs. not so.

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	REFERENCE	`https://en.wikipedia.org/wiki/Latin_square`
	CROSSREFS	`Adjacent-numbered pages: BP1170 BP1171 BP1172 BP1173 BP1174 * BP1176 BP1177 BP1178 BP1179 BP1180`
	KEYWORD	`precise, traditional, grid, miniworlds, dithering`
	AUTHOR	`Leo Crabbe`

BP1183

One resolution vs. another.

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	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.

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	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.

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	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`

BP1197

No sequence is repeated twice in a row vs. some sequence is repeated twice in a row.

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	REFERENCE	`https://en.wikipedia.org/wiki/Square-free_word`
	CROSSREFS	`Adjacent-numbered pages: BP1192 BP1193 BP1194 BP1195 BP1196 * BP1198 BP1199 BP1200 BP1201 BP1202`
	KEYWORD	`precise, allsorted, notso, left-narrow, sequence, traditional, preciseworld, dithering, left-listable`
	CONCEPT	`two (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1199

The only rectangles are the individual regions and the whole vs. there is some other rectangle made of rectangles.

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

CROSSREFS

All of the examples fitting left here would fit right in BP1200 except for (1) a single rectangle, (2) two rectangles stacked vertically, or (3) two rectangles side by side horizontally.

All of the examples fitting left in BP1097 (re-styled) would fit right here (besides the two possible arrangements made up of just two rectangles, but those aren't shown there).

See BP1201 for the version with triangles.

Adjacent-numbered pages: BP1194 BP1195 BP1196 BP1197 BP1198 * BP1200 BP1201 BP1202 BP1203 BP1204

KEYWORD

precise, traditional, left-listable, right-listable

AUTHOR

Aaron David Fairbanks

BP1200

The whole rectangle can be filled in by successively replacing pairs of adjacent rectangles with one vs. not so.

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	COMMENTS	`Another wording: "can be repeatedly broken along 'fault lines' to yield individual pieces vs not."`
	REFERENCE	`Robert Dawson, A forbidden suborder characterization of binarily composable diagrams in double categories, Theory and Applications of Categories, Vol. 1, No. 7, p. 146-145, 1995.`
	CROSSREFS	`All of the examples fitting left here would fit right in BP1199 except for (1) a single rectangle, (2) two rectangles stacked vertically, or (3) two rectangles side by side horizontally.` `All of the examples fitting right in in BP1097 (re-styled) would fit right here (besides a single solid block, but that isn't shown there).` `Adjacent-numbered pages: BP1195 BP1196 BP1197 BP1198 BP1199 * BP1201 BP1202 BP1203 BP1204 BP1205`
	KEYWORD	`hard, precise, challenge, proofsrequired, inductivedefinition, left-listable, right-listable`
	AUTHOR	`Aaron David Fairbanks`

BP1201

The only triangles are the individual regions and the whole vs. there is some other triangle made of triangles.

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

	CROSSREFS	`See BP1199 for the version with rectangles.` `Adjacent-numbered pages: BP1196 BP1197 BP1198 BP1199 BP1200 * BP1202 BP1203 BP1204 BP1205 BP1206`
	KEYWORD	`precise, traditional, left-listable, right-listable`
	CONCEPT	`triangle (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1202

Color of any region is an equal mix of the colors of the overlapping shapes vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1197 BP1198 BP1199 BP1200 BP1201 * BP1203 BP1204 BP1205 BP1206 BP1207`
	KEYWORD	`precise, allsorted, notso, color`
	AUTHOR	`Leo Crabbe`

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