The On-Line Encyclopedia of Bongard Problems

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White is multiple of black vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1046 BP1047 BP1048 BP1049 BP1050 * BP1052 BP1053 BP1054 BP1055 BP1056`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1052

More than twice as many of one color than the other vs. neither color exceeds double the other.

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

	CROSSREFS	`See the twin BP1047.` `Adjacent-numbered pages: BP1047 BP1048 BP1049 BP1050 BP1051 * BP1053 BP1054 BP1055 BP1056 BP1057`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1053

Two parts black to one part white vs. not so.

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

	CROSSREFS	`See the twin BP1047.` `Adjacent-numbered pages: BP1048 BP1049 BP1050 BP1051 BP1052 * BP1054 BP1055 BP1056 BP1057 BP1058`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search),` `one (info \| search),` `two (info \| search),` `three (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1054

Ratio of total circles to black circles is a power of two vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1049 BP1050 BP1051 BP1052 BP1053 * BP1055 BP1056 BP1057 BP1058 BP1059`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search),` `two (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1082

Shapes are congruent if (and only if) they are enclosed in the same space vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP1077 BP1078 BP1079 BP1080 BP1081 * BP1083 BP1084 BP1085 BP1086 BP1087`
	KEYWORD	`stub, precise, allsorted`
	CONCEPT	`iff (info \| search)`
	AUTHOR	`Leo Crabbe`

BP1089

Equal number of black and white pixels vs. not

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

	CROSSREFS	`Adjacent-numbered pages: BP1084 BP1085 BP1086 BP1087 BP1088 * BP1090 BP1091 BP1092 BP1093 BP1094`
	KEYWORD	`nice, precise, allsorted, boundingbox, right-null, perfect, pixelperfect, help, preciseworld, bordercontent, blackwhiteinvariant`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP1090

Top piece can slide into bottom area in such that there is an unbroken black horizontal region vs. not so.

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

	COMMENTS	`Successful moves in Tetris.`
	CROSSREFS	`Adjacent-numbered pages: BP1085 BP1086 BP1087 BP1088 BP1089 * BP1091 BP1092 BP1093 BP1094 BP1095`
	KEYWORD	`precise, teach, culture, pixelperfect`
	AUTHOR	`Leo Crabbe`

BP1093

"Inverted symmetry" present vs. not

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

	CROSSREFS	`Adjacent-numbered pages: BP1088 BP1089 BP1090 BP1091 BP1092 * BP1094 BP1095 BP1096 BP1097 BP1098`
	KEYWORD	`nice, precise, allsorted, boundingbox, left-narrow, right-null, perfect, pixelperfect, preciseworld, bordercontent, blackwhiteinvariant`
	CONCEPT	`black_white_inversion (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP1094

Convex hulls intersect vs. not

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

	CROSSREFS	`Adjacent-numbered pages: BP1089 BP1090 BP1091 BP1092 BP1093 * BP1095 BP1096 BP1097 BP1098 BP1099`
	KEYWORD	`precise, perfect, unorderedpair`
	CONCEPT	`convex_hull (info \| search),` `overlap (info \| search)`
	AUTHOR	`Jago Collins`

BP1095

Angle of incidence equals angle of reflection vs. not

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

	REFERENCE	`https://en.wikipedia.org/wiki/Specular_reflection` `https://en.wikipedia.org/wiki/Snooker`
	CROSSREFS	`Adjacent-numbered pages: BP1090 BP1091 BP1092 BP1093 BP1094 * BP1096 BP1097 BP1098 BP1099 BP1100`
	KEYWORD	`easy, nice, precise, allsorted, physics, perfect`
	AUTHOR	`Jago Collins`

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