The On-Line Encyclopedia of Bongard Problems

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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`

BP1187

Smaller section tiles the grid vs. not so.

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	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`

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`

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`

BP1218

Arrow pointing north-west vs. arrow pointing elsewhere.

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	CROSSREFS	`BP1216 is "arrow pointing north-west vs. arrow pointing south-east".` `Adjacent-numbered pages: BP1213 BP1214 BP1215 BP1216 BP1217 * BP1219 BP1220 BP1221 BP1222 BP1223`
	KEYWORD	`stub, precise, allsorted, notso, handed, leftright, updown, rotate, left-narrow, traditional`
	CONCEPT	`diagonal (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1222

Same shape up to resizing vs. different shapes.

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	CROSSREFS	`BP57 instead requires the shapes are identical, even in size.` `Adjacent-numbered pages: BP1217 BP1218 BP1219 BP1220 BP1221 * BP1223 BP1224 BP1225 BP1226 BP1227`
	KEYWORD	`stub, precise, allsorted, traditional`
	CONCEPT	`size (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1227

Appears on its own right side vs. does not.

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	COMMENTS	`This was created as an example of a Bongard Problem that could include an image of a Bongard Problem with the same solution as itself but could not include the very image of itself (appearing within itself fractally).`
	CROSSREFS	`See also BP961, "appears on its own left side vs. appears on its own right side".` `Adjacent-numbered pages: BP1222 BP1223 BP1224 BP1225 BP1226 * BP1228 BP1229 BP1230 BP1231 BP1232`
	KEYWORD	`stub, precise, allsorted, notso, handed, leftright, example, perfect, infinitedetail`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1246

Any symmetry exhibited by some non-empty subset of the objects is also a symmetry of the whole thing vs. not so.

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

	COMMENTS	`In other words, placing the image over itself (rotation and flipping allowed) so that any parts match up makes the whole image match up to itself vs. not so.`
	CROSSREFS	`See BP965 for a variation on this idea where the "parts" are allowed to be arbitrary regions of the image instead of individual objects shown in the image.` `Adjacent-numbered pages: BP1241 BP1242 BP1243 BP1244 BP1245 * BP1247 BP1248 BP1249 BP1250 BP1251`
	KEYWORD	`precise, allsorted, unwordable, notso, traditional`
	CONCEPT	`local_global (info \| search),` `self-reference (info \| search),` `symmetry (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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`

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