The On-Line Encyclopedia of Bongard Problems

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BP57

Identical figures vs. figures not identical.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 232.`
	CROSSREFS	`BP1222 is similar but allows the shapes to be different sizes.` `BP343 is about existence of a pair of identical shapes among many shapes.` `Adjacent-numbered pages: BP52 BP53 BP54 BP55 BP56 * BP58 BP59 BP60 BP61 BP62`
	KEYWORD	`nice, finished, unorderedpair, traditional, bongard`
	CONCEPT	`identical (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP59

Figures are similar vs. figures are not similar.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 233.`
	CROSSREFS	`Adjacent-numbered pages: BP54 BP55 BP56 BP57 BP58 * BP60 BP61 BP62 BP63 BP64`
	KEYWORD	`nice, finished, unorderedpair, traditional, bongard`
	CONCEPT	`similar_shape (info \| search),` `similar (info \| search)`
	WORLD	`two_outlines [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP104

One circle passes through the center of the other circle vs. no circle passes through the center of the other circle.

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	CROSSREFS	`Adjacent-numbered pages: BP99 BP100 BP101 BP102 BP103 * BP105 BP106 BP107 BP108 BP109`
	KEYWORD	`precise, unorderedpair, traditional`
	CONCEPT	`on_line_or_curve (info \| search),` `center_of_circle (info \| search),` `center (info \| search),` `imagined_point (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP229

When the objects are rotated and their dots are overlapped and eliminated, they form three-square-tall structures with columns of the same color vs. not so.

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	COMMENTS	`Explanation / justification of BP229 by its creator:` `"Long (doubly sized) objects are purines (A & G).` `Short objects are pyrimidines (C & T).` `Black are those forming triple Hbond (G and C).` `White are those forming double Hbond (A & T).` `On the left we have matching codes, i.e., bases, doublets or triplets that, when rotated, can pair correctly (A with T, G with C), binding the two strands.` `On the right we have objects that no matter how they are rotated they do not pair correctly (because of bumps, wrong color codes, etc)."`
	CROSSREFS	`Adjacent-numbered pages: BP224 BP225 BP226 BP227 BP228 * BP230 BP231 BP232 BP233 BP234`
	KEYWORD	`unorderedpair, traditional`
	CONCEPT	`rotation_required (info \| search),` `tiling (info \| search),` `specific_value (info \| search),` `specificity (info \| search)`
	AUTHOR	`Giuseppe Insana`

BP238

C-like curves point to the same direction vs. c-like curves point to opposite directions.

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	CROSSREFS	`Adjacent-numbered pages: BP233 BP234 BP235 BP236 BP237 * BP239 BP240 BP241 BP242 BP243`
	KEYWORD	`unorderedpair, traditional`
	CONCEPT	`tangent (info \| search),` `line_absolute_direction (info \| search),` `absolute_direction (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `same_feature (info \| search),` `same (info \| search),` `direction (info \| search)`
	AUTHOR	`Harry E. Foundalis`

BP305

Shapes identical after rotation vs. shapes identical after rotation and mirroring.

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	CROSSREFS	`Adjacent-numbered pages: BP300 BP301 BP302 BP303 BP304 * BP306 BP307 BP308 BP309 BP310`
	KEYWORD	`nice, unorderedpair, traditional`
	CONCEPT	`rotation_required (info \| search),` `same_shape (info \| search),` `same (info \| search)`
	AUTHOR	`"Lewis"`

BP312

Lines intersect within the box vs. lines intersect out of the box.

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	CROSSREFS	`Adjacent-numbered pages: BP307 BP308 BP309 BP310 BP311 * BP313 BP314 BP315 BP316 BP317`
	KEYWORD	`precise, allsorted, boundingbox, perfect, unorderedpair, traditional, preciseworld, absoluteposition`
	CONCEPT	`completed_out_of_box (info \| search),` `vertex_of_meeting_lines (info \| search),` `imagined_point (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Jakub Štepo`

BP319

The number of dots in one cluster is a multiple of the other vs. not so.

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

	CROSSREFS	`Adjacent-numbered pages: BP314 BP315 BP316 BP317 BP318 * BP320 BP321 BP322 BP323 BP324`
	KEYWORD	`math, unorderedpair, traditional`
	CONCEPT	`multiple_of (info \| search),` `number (info \| search),` `dot (info \| search),` `proportional (info \| search)`
	WORLD	`two_dot_clusters [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP358

The circles will collide if the arrows are their velocities vs. the circles will not collide if the arrows are their velocities.

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

	CROSSREFS	`Adjacent-numbered pages: BP353 BP354 BP355 BP356 BP357 * BP359 BP360 BP361 BP362 BP363`
	KEYWORD	`nice, physics, unorderedpair, traditional`
	CONCEPT	`arrow (info \| search),` `tracing_lines_or_curves_meet (info \| search),` `speed (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `imagined_motion (info \| search),` `motion (info \| search),` `collision (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP377

The two objects have similar representations vs. the two objects have dissimilar representations.

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	CROSSREFS	`Adjacent-numbered pages: BP372 BP373 BP374 BP375 BP376 * BP378 BP379 BP380 BP381 BP382`
	KEYWORD	`unorderedpair, traditional`
	CONCEPT	`similar_representation (info \| search),` `similar (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

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