The On-Line Encyclopedia of Bongard Problems

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BP1156

Centred vs. not.

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

	CROSSREFS	`Adjacent-numbered pages: BP1151 BP1152 BP1153 BP1154 BP1155 * BP1157 BP1158 BP1159 BP1160 BP1161`
	KEYWORD	`precise, minimal, boundingbox, left-finite, left-full, perfect, pixelperfect, finishedexamples, preciseworld, absoluteposition`
	CONCEPT	`center (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1167

Visual Bongard Problems whose sorted examples all have the same amount of black and white in them vs. other visual Bongard Problems.

	BP285	BP801	BP934	BP1017	BP1056	BP1155
	BP1156

BP284

BP1089

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

CROSSREFS

All left BPs would be tagged finishedexamples.

Adjacent-numbered pages: BP1162 BP1163 BP1164 BP1165 BP1166 * BP1168 BP1169 BP1170 BP1171 BP1172

KEYWORD

precise, notso, meta (see left/right), links, sideless

AUTHOR

Leo Crabbe

BP1168

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.

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

	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.

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

	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.

(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`

BP1197

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

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

	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.

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

	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`

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