The On-Line Encyclopedia of Bongard Problems

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Triangles vs. quadrangles.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 245.`
	CROSSREFS	`Adjacent-numbered pages: BP91 BP92 BP93 BP94 BP95 * BP97 BP98 BP99 BP100 BP101`
	KEYWORD	`number, finished, traditional, bongard`
	CONCEPT	`collinear (info \| search),` `line_or_curve_endpoint (info \| search),` `number (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Three parts vs. four parts.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 243.`
	CROSSREFS	`Adjacent-numbered pages: BP85 BP86 BP87 BP88 BP89 * BP91 BP92 BP93 BP94 BP95`
	KEYWORD	`number, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `outlined_filled (info \| search),` `separation_of_joined_objects (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `texture (info \| search),` `three (info \| search),` `four (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

The end of the right branch is higher than that of the left branch vs. the end of the right branch is lower than that of the left branch.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 236.`
	CROSSREFS	`Adjacent-numbered pages: BP63 BP64 BP65 BP66 BP67 * BP69 BP70 BP71 BP72 BP73`
	KEYWORD	`finished, traditional, viceversa, bongard`
	CONCEPT	`above_below (info \| search),` `branch_point (info \| search),` `line_or_curve_endpoint (info \| search),` `left_right (info \| search),` `tracing_line_or_curve (info \| search)`
	WORLD	`curve_tree_one_branch_per_side [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

Fractal iteration based on 2-D (shapes) vs. fractal iteration based on 1-D (line segments).

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	CROSSREFS	`Adjacent-numbered pages: BP350 BP351 BP352 BP353 BP354 * BP356 BP357 BP358 BP359 BP360`
	KEYWORD	`creativeexamples, structure, sequence, traditional, rules`
	CONCEPT	`fractal (info \| search),` `iteration (info \| search),` `tracing_line_or_curve (info \| search)`
	WORLD	`constant_change_seq_fractal_iterate_right [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Translational symmetry vs. no translational symmetry.

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	COMMENTS	`Each example on the left is imagined to continue beyond the bounding box.`
	CROSSREFS	`Adjacent-numbered pages: BP1224 BP1225 BP1226 BP1227 BP1228 * BP1230 BP1231 BP1232 BP1233 BP1234`
	KEYWORD	`stub, notso, seemslike`
	CONCEPT	`symmetry (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

A circle is inside of a figure made by crosses vs. a circle is outside of figures made by crosses.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 241.`
	CROSSREFS	`Adjacent-numbered pages: BP78 BP79 BP80 BP81 BP82 * BP84 BP85 BP86 BP87 BP88`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`convex_hull (info \| search),` `inside (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

The sum of all dot clumps has the same numerical property as each of the dot clumps vs. not so.

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	CROSSREFS	`This is a version of BP1003 with only numbers.` `Contrast BP1005, which is very similar.` `Adjacent-numbered pages: BP1001 BP1002 BP1003 BP1004 BP1005 * BP1007 BP1008 BP1009 BP1010 BP1011`
	KEYWORD	`nice, hardsort, left-narrow, rules`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`[smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Leo Crabbe, Aaron David Fairbanks`

Identical pairs of symbols are always on opposite sides of the cube (when assembled) vs. some identical symbols are next to each other on the cube.

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	CROSSREFS	`Adjacent-numbered pages: BP1264 BP1265 BP1266 BP1267 BP1268 * BP1270 BP1271 BP1272 BP1273 BP1274`
	KEYWORD	`left-finite, right-finite, finishedexamples, preciseworld`
	CONCEPT	`cube (info \| search),` `correspondence (info \| search),` `3d_net (info \| search),` `3d_solid (info \| search)`
	AUTHOR	`Leo Crabbe`

Shown is a box of this Bongard Problem (BP538) vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP533 BP534 BP535 BP536 BP537 * BP539 BP540 BP541 BP542 BP543`
	KEYWORD	`notso, left-finite, finished, invalid, experimental, funny`
	CONCEPT	`recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Circle centers are collinear vs. circle centers are not collinear.

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	CROSSREFS	`Adjacent-numbered pages: BP129 BP130 BP131 BP132 BP133 * BP135 BP136 BP137 BP138 BP139`
	KEYWORD	`traditional`
	CONCEPT	`all (info \| search),` `collinear (info \| search),` `center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

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