The On-Line Encyclopedia of Bongard Problems

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BP972

Top half has more black (less white) than bottom half versus vice versa.

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	COMMENTS	`A similar, but different, solution is "center of mass is above the horizontal vs. center of mass is below the horizontal."`
	CROSSREFS	`See BP971 for the version with examples rotated a quarter-turn.` `Adjacent-numbered pages: BP967 BP968 BP969 BP970 BP971 * BP973 BP974 BP975 BP976 BP977`
	KEYWORD	`precise, spectrum, dual, handed, updown, boundingbox, blackwhite, traditional, viceversa, absoluteposition, bordercontent`
	AUTHOR	`Aaron David Fairbanks`

BP1008

The 26th from the left, 63rd from the top pixel is black versus white.

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	COMMENTS	`This is a typical kind of joke answer people give for Bongard Problems when they cannot find an answer.`
	CROSSREFS	`Adjacent-numbered pages: BP1003 BP1004 BP1005 BP1006 BP1007 * BP1009 BP1010 BP1011 BP1012 BP1013`
	KEYWORD	`dual, arbitrary, handed, leftright, updown, boundingbox, blackwhite, antihuman, right-null, perfect, pixelperfect, help, experimental, funny, absoluteposition, bordercontent`
	CONCEPT	`specificity (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1024

One sorted left vs. one sorted right.

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	CROSSREFS	`Adjacent-numbered pages: BP1019 BP1020 BP1021 BP1022 BP1023 * BP1025 BP1026 BP1027 BP1028 BP1029`
	KEYWORD	`precise, allsorted, dual, handed, leftright, math, meta (see left/right), miniproblems, assumesfamiliarity, structure, preciseworld, presentationinvariant`
	WORLD	`boxes_dots_bpimage_clear_set_of_numbers [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1085

More triangles on the right vs. more triangles on the left.

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	CROSSREFS	`Adjacent-numbered pages: BP1080 BP1081 BP1082 BP1083 BP1084 * BP1086 BP1087 BP1088 BP1089 BP1090`
	KEYWORD	`stub, dual, handed, leftright`
	AUTHOR	`Aaron David Fairbanks`

BP1208

More triangles left than right vs. more triangles right than left.

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	COMMENTS	`The triangles vary in size in order to make the solution clearly about quantity, not "total mass".`
	CROSSREFS	`Adjacent-numbered pages: BP1203 BP1204 BP1205 BP1206 BP1207 * BP1209 BP1210 BP1211 BP1212 BP1213`
	KEYWORD	`stub, precise, spectrum, dual, handed, leftright, traditional`
	CONCEPT	`number (info \| search),` `triangle (info \| search),` `quantity_comparison (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1213

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`

BP1214

Left shape is bigger than right shape vs. right shape is bigger than left shape.

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	CROSSREFS	`BP1217 has the same solution but rotated a quarter-turn counter-clockwise.` `Adjacent-numbered pages: BP1209 BP1210 BP1211 BP1212 BP1213 * BP1215 BP1216 BP1217 BP1218 BP1219`
	KEYWORD	`stub, dual, handed, leftright, traditional`
	CONCEPT	`size (info \| search),` `quantity_comparison (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1216

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`

BP1217

Bottom shape is bigger than top shape vs. top shape is bigger than bottom shape.

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	CROSSREFS	`BP1214 has the same solution but rotated a quarter-turn clockwise.` `Adjacent-numbered pages: BP1212 BP1213 BP1214 BP1215 BP1216 * BP1218 BP1219 BP1220 BP1221 BP1222`
	KEYWORD	`stub, dual, handed, updown, traditional`
	CONCEPT	`size (info \| search),` `quantity_comparison (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1245

When two players alternate coloring regions, either can force connection from top edge to bottom edge vs. either can force connection from left edge to right edge.

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	REFERENCE	`https://en.wikipedia.org/wiki/Hex_(board_game)`
	CROSSREFS	`Adjacent-numbered pages: BP1240 BP1241 BP1242 BP1243 BP1244 * BP1246 BP1247 BP1248 BP1249 BP1250`
	KEYWORD	`hard, precise, convoluted, dual, rotate, boundingbox, hardsort, challenge, proofsrequired, bordercontent`
	AUTHOR	`Aaron David Fairbanks`

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