The On-Line Encyclopedia of Bongard Problems

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At least twice as many of one color than the other vs. neither color attains double the other.

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	CROSSREFS	`See the twin BP1052.` `Adjacent-numbered pages: BP1042 BP1043 BP1044 BP1045 BP1046 * BP1048 BP1049 BP1050 BP1051 BP1052`
	KEYWORD	`precise, allsorted, preciseworld`
	CONCEPT	`ratio (info \| search),` `two (info \| search),` `three (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP361

Analogy makes sense vs. analogy does not make sense.

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	CROSSREFS	`Adjacent-numbered pages: BP356 BP357 BP358 BP359 BP360 * BP362 BP363 BP364 BP365 BP366`
	KEYWORD	`nice, creativeexamples, assumesfamiliarity, structure, traditional, rules`
	CONCEPT	`analogy (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP986

Palindromes vs. not palindromes.

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	COMMENTS	`All examples in this Problem are sequences of graphic symbols. In this Problem, a "palindrome" is taken to be an ordered sequence which is the same read left-to-right as it is read right-to-left. A more formal solution to this Problem could be: "Sequences which are invariant under a permutation which swaps first and last entries, second and second last entries, third and third last entries, ... and so on vs. sequences which are not invariant under the aforementioned permutamation."`
	CROSSREFS	`Adjacent-numbered pages: BP981 BP982 BP983 BP984 BP985 * BP987 BP988 BP989 BP990 BP991`
	KEYWORD	`nice, precise, allsorted, notso, sequence, traditional, miniworlds`
	CONCEPT	`element_wise_symmetry (info \| search),` `identical (info \| search),` `sequence (info \| search),` `same_shape (info \| search),` `same (info \| search),` `symmetry (info \| search)`
	WORLD	`[smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Jago Collins`

BP1087

A vertical line may pass through both objects vs. no such line exists

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	CROSSREFS	`Adjacent-numbered pages: BP1082 BP1083 BP1084 BP1085 BP1086 * BP1088 BP1089 BP1090 BP1091 BP1092`
	KEYWORD	`easy, notso, rotate, unorderedpair`
	CONCEPT	`vertical (info \| search),` `direction (info \| search)`
	AUTHOR	`William B Holland`

BP52

Arrows pointing in different directions vs. arrows pointing in the same direction.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 231.`
	CROSSREFS	`Adjacent-numbered pages: BP47 BP48 BP49 BP50 BP51 * BP53 BP54 BP55 BP56 BP57`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`arrow (info \| search),` `tracing_lines_or_curves_meet (info \| search),` `pointing_to (info \| search),` `tracing_line_or_curve (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP222

Border of black rectangle is incomplete vs. border of black rectangle is complete.

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	CROSSREFS	`Adjacent-numbered pages: BP217 BP218 BP219 BP220 BP221 * BP223 BP224 BP225 BP226 BP227`
	KEYWORD	`traditional`
	CONCEPT	`imperfection_small (info \| search)`
	AUTHOR	`Giuseppe Insana`

BP907

One dot cluster is the product of the other two vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP902 BP903 BP904 BP905 BP906 * BP908 BP909 BP910 BP911 BP912`
	KEYWORD	`unorderedtriplet`
	CONCEPT	`2_inputs_1_output (info \| search),` `product (info \| search)`
	WORLD	`3_dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

BP187

Sides of parts are one more than sides of whole vs. sides of parts are one less than sides of whole.

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	CROSSREFS	`Adjacent-numbered pages: BP182 BP183 BP184 BP185 BP186 * BP188 BP189 BP190 BP191 BP192`
	KEYWORD	`traditional`
	CONCEPT	`subtraction (info \| search),` `number (info \| search),` `cluster (info \| search)`
	AUTHOR	`Harry E. Foundalis`

BP390

Each graph vertex is uniquely defined by its connections (the graph does not admit nontrivial automorphisms) vs. the graph admits nontrivial automorphisms.

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	CROSSREFS	`Adjacent-numbered pages: BP385 BP386 BP387 BP388 BP389 * BP391 BP392 BP393 BP394 BP395`
	KEYWORD	`precise, allsorted, notso, traditional, preciseworld`
	CONCEPT	`graph (info \| search),` `self-reference (info \| search),` `topological_transformation (info \| search),` `imagined_shape (info \| search),` `imagined_entity (info \| search)`
	WORLD	`connected_graph [smaller \| same \| bigger]`
	AUTHOR	`Jago Collins`

BP78

Extensions of segments cross at one point vs. extensions of segments do not cross at one point.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 239.`
	CROSSREFS	`Adjacent-numbered pages: BP73 BP74 BP75 BP76 BP77 * BP79 BP80 BP81 BP82 BP83`
	KEYWORD	`finished, unorderedtriplet, traditional, bongard`
	CONCEPT	`all (info \| search),` `lines_coincide (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	WORLD	`three_segments [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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