The On-Line Encyclopedia of Bongard Problems

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Vertical, horizontal, and both diagonal axes of symmetry vs. not (more specifically, one or fewer axes of symmetry).

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	CROSSREFS	`Adjacent-numbered pages: BP1205 BP1206 BP1207 BP1208 BP1209 * BP1211 BP1212 BP1213 BP1214 BP1215`
	KEYWORD	`stub, left-narrow, traditional, blackwhiteinvariant`
	CONCEPT	`symmetry_axis (info \| search),` `symmetry (info \| search),` `four (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Triangle vs. anything else.

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	CROSSREFS	`See BP6 for "triangle vs. quadrilateral".` `Adjacent-numbered pages: BP1206 BP1207 BP1208 BP1209 BP1210 * BP1212 BP1213 BP1214 BP1215 BP1216`
	KEYWORD	`stub, notso, left-narrow, traditional`
	CONCEPT	`triangle (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Axis of symmetry along the NW/SE diagonal vs. axis of symmetry along the NE/SW diagonal

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	CROSSREFS	`Adjacent-numbered pages: BP1208 BP1209 BP1210 BP1211 BP1212 * BP1214 BP1215 BP1216 BP1217 BP1218`
	KEYWORD	`stub, dual, handed, leftright, updown, rotate, stretch, left-narrow, right-narrow, traditional, both`
	CONCEPT	`diagonal (info \| search),` `symmetry_axis (info \| search),` `symmetry (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Axis of symmetry along the NW/SE diagonal vs. not.

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	CROSSREFS	`BP1206 is the same solution but with the vertical axis instead of the NW/SE diagonal.` `BP1207 is the same solution but with the horizontal axis instead of the NW/SE diagonal.` `Adjacent-numbered pages: BP1210 BP1211 BP1212 BP1213 BP1214 * BP1216 BP1217 BP1218 BP1219 BP1220`
	KEYWORD	`stub, notso, handed, leftright, updown, rotate, left-narrow, traditional`
	CONCEPT	`diagonal (info \| search),` `symmetry_axis (info \| search),` `symmetry (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Arrow pointing north-west vs. arrow pointing south-east.

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	CROSSREFS	`BP1218 is "arrow pointing north-west vs. arrow pointing elsewhere".` `Adjacent-numbered pages: BP1211 BP1212 BP1213 BP1214 BP1215 * BP1217 BP1218 BP1219 BP1220 BP1221`
	KEYWORD	`stub, precise, dual, handed, leftright, updown, rotate, left-narrow, right-narrow, traditional`
	CONCEPT	`diagonal (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Arrow pointing north-west vs. arrow pointing elsewhere.

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

	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`

Blank image (square) vs. image of blank square.

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

	CROSSREFS	`See also BP1056, "blank image vs. nothing".` `BP1 is also a (less specific) solution to this.` `BP1209 (flipped) is also a (less specific) solution to this.` `Adjacent-numbered pages: BP1214 BP1215 BP1216 BP1217 BP1218 * BP1220 BP1221 BP1222 BP1223 BP1224`
	KEYWORD	`minimal, gap, left-narrow, right-narrow, left-finite, right-finite, left-full, right-full, left-null, funny, unstableworld`
	CONCEPT	`empty (info \| search),` `square (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Square outline vs. anything else.

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

	CROSSREFS	`Adjacent-numbered pages: BP1215 BP1216 BP1217 BP1218 BP1219 * BP1221 BP1222 BP1223 BP1224 BP1225`
	KEYWORD	`stub, notso, left-narrow, left-finite, left-full, right-null, stableworld`
	CONCEPT	`square (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Exactly one connected white region for each possible way shapes can overlap vs. not so.

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	COMMENTS	`All left-sorted examples have 2^n distinct white regions (counting the background), where n is the number of shapes in the image.`
	REFERENCE	`https://en.wikipedia.org/wiki/Venn_diagram`
	CROSSREFS	`Similar solution to BP1262, except there overlaps do not have to be unique.` `Adjacent-numbered pages: BP1256 BP1257 BP1258 BP1259 BP1260 * BP1262 BP1263 BP1264 BP1265 BP1266`
	KEYWORD	`notso, left-narrow, left-null, perfect`
	CONCEPT	`exists_one (info \| search)`
	AUTHOR	`Leo Crabbe`

Any shape's axis of reflection is shared by another shape vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1259 BP1260 BP1261 BP1262 BP1263 * BP1265 BP1266 BP1267 BP1268 BP1269`
	KEYWORD	`precise, allsorted, notso, left-narrow`
	CONCEPT	`symmetry (info \| search)`
	AUTHOR	`Leo Crabbe`

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