The On-Line Encyclopedia of Bongard Problems

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Invariant under scaling by a certain amount vs. not.

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	COMMENTS	`Each example on the left is imagined to continue beyond the bounding box.`
	CROSSREFS	`Adjacent-numbered pages: BP1225 BP1226 BP1227 BP1228 BP1229 * BP1231 BP1232 BP1233 BP1234 BP1235`
	KEYWORD	`stub, notso, perfect, infinitedetail, left-couldbe, bordercontent, blackwhiteinvariant`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `symmetry (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP1092

Has element-wise 180 degree rotational symmetry vs. does not.

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

	CROSSREFS	`Adjacent-numbered pages: BP1087 BP1088 BP1089 BP1090 BP1091 * BP1093 BP1094 BP1095 BP1096 BP1097`
	KEYWORD	`nice, anticomputer`
	CONCEPT	`element_wise_symmetry (info \| search),` `rotational_symmetry (info \| search)`
	AUTHOR	`William B Holland`

BP348

Shape on the right is the convex hull of shape on the left vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP343 BP344 BP345 BP346 BP347 * BP349 BP350 BP351 BP352 BP353`
	KEYWORD	`precise, unstable, perfect, orderedpair, traditional`
	CONCEPT	`convex_hull (info \| search)`
	WORLD	`2_fill_shapes [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP139

Similar components that change regularly vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP134 BP135 BP136 BP137 BP138 * BP140 BP141 BP142 BP143 BP144`
	KEYWORD	`traditional, miniworlds`
	CONCEPT	`regular_irregular_change (info \| search),` `similar_shape (info \| search),` `similar (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP108

Petals taper off vs. petals thicken.

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

	CROSSREFS	`Adjacent-numbered pages: BP103 BP104 BP105 BP106 BP107 * BP109 BP110 BP111 BP112 BP113`
	KEYWORD	`nice, traditional`
	CONCEPT	`all (info \| search),` `size_increase_decrease (info \| search),` `protrusion (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

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`

BP842

Any permutation of positions that sends one string of symbols to another sends each string of symbols to some other versus not so.

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	COMMENTS	`Restriction of BP841 to permutations.`
	CROSSREFS	`Adjacent-numbered pages: BP837 BP838 BP839 BP840 BP841 * BP843 BP844 BP845 BP846 BP847`
	KEYWORD	`hard, contributepairs, traditional`
	CONCEPT	`permutation (info \| search)`
	WORLD	`zoom in left \| zoom in right`
	AUTHOR	`Aaron David Fairbanks`

BP1129

An oval is sorted left; shapes are sorted left when they can be built out of others sorted left by A) joining side by side (at a point) or B) joining one on top of the other (joining one's entire bottom edge to the other's entire top edge).

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	COMMENTS	`This was an unintended solution for BP1130.` `In category theory lingo, left examples are built by repeated horizontal composition and vertical composition. (Making horizontal lines as 0-ary vertical compositions is here forbidden.)`
	CROSSREFS	`Anything fitting right in BP1130 fits right here.` `Adjacent-numbered pages: BP1124 BP1125 BP1126 BP1127 BP1128 * BP1130 BP1131 BP1132 BP1133 BP1134`
	KEYWORD	`hard, less, convoluted, solved, inductivedefinition`
	CONCEPT	`or (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP374

Simple object vs. complex object.

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

	COMMENTS	`People consistently get the answer to this, but many people think they haven't found the actual answer yet even though they have. - Aaron David Fairbanks, Aug 16 2020`
	CROSSREFS	`Adjacent-numbered pages: BP369 BP370 BP371 BP372 BP373 * BP375 BP376 BP377 BP378 BP379`
	KEYWORD	`easy, nice, traditional`
	CONCEPT	`simplicity (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP273

Stays put (both when placed on its top and bottom) vs. tumbles (when placed on its bottom).

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	CROSSREFS	`See BP199 for the original "stays put vs. tumbles".` `Adjacent-numbered pages: BP268 BP269 BP270 BP271 BP272 * BP274 BP275 BP276 BP277 BP278`
	KEYWORD	`rotate, physics`
	CONCEPT	`base (info \| search),` `downward_upward (info \| search),` `tumbles_or_stays_put (info \| search),` `line_absolute_direction (info \| search),` `absolute_direction (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `direction (info \| search),` `gravity (info \| search)`
	WORLD	`arial_font_centered_connected_symbol [smaller \| same \| bigger]`
	AUTHOR	`Merse E. Gáspár`

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