The On-Line Encyclopedia of Bongard Problems

Search: author:Leo Crabbe

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BP1252

No entirely white paths from one side to another vs. one can find such a path.

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	COMMENTS	`The left-sorted patterns connect all four corners with a single black region. - Rhodri Prysor, Oct 16 2024`
	CROSSREFS	`Adjacent-numbered pages: BP1247 BP1248 BP1249 BP1250 BP1251 * BP1253 BP1254 BP1255 BP1256 BP1257`
	KEYWORD	`precise, allsorted, notso, blackwhite, right-null, bordercontent`
	AUTHOR	`Leo Crabbe`

BP1249

Any straight path will hit a black region vs. not so.

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

	REFERENCE	`https://en.wikipedia.org/wiki/Opaque_set`
	CROSSREFS	`Adjacent-numbered pages: BP1244 BP1245 BP1246 BP1247 BP1248 * BP1250 BP1251 BP1252 BP1253 BP1254`
	KEYWORD	`notso, blackwhite, right-null, perfect, bordercontent`
	CONCEPT	`imagined_line_or_curve (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1248

No straight path passes from a white region to a grey one, then to white again (without hitting black) vs. such a path exists.

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

	CROSSREFS	`Any small amount of convexity along the grey border will cause an example to fit right.` `Adjacent-numbered pages: BP1243 BP1244 BP1245 BP1246 BP1247 * BP1249 BP1250 BP1251 BP1252 BP1253`
	KEYWORD	`precise, allsorted, unwordable, notso, perfect`
	CONCEPT	`imagined_line_or_curve (info \| search)`
	WORLD	`[smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

BP1247

No straight path from one side of the panel to the other passes through the grey shape without hitting a black region vs. such a path exists.

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

	REFERENCE	`https://en.wikipedia.org/wiki/Opaque_set`
	CROSSREFS	`Adjacent-numbered pages: BP1242 BP1243 BP1244 BP1245 BP1246 * BP1248 BP1249 BP1250 BP1251 BP1252`
	KEYWORD	`precise, allsorted, unwordable, notso`
	CONCEPT	`imagined_line_or_curve (info \| search)`
	WORLD	`[smaller \| same \| bigger] zoom in left`
	AUTHOR	`Leo Crabbe`

BP1240

Contains an un-nested white rectangle vs doesn't

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

	CROSSREFS	`Adjacent-numbered pages: BP1235 BP1236 BP1237 BP1238 BP1239 * BP1241 BP1242 BP1243 BP1244 BP1245`
	CONCEPT	`existence (info \| search)`
	AUTHOR	`Leo Crabbe`

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`

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`

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`

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`

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`

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