The On-Line Encyclopedia of Bongard Problems

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Arrow pointing north-west vs. arrow pointing elsewhere.

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	CROSSREFS	`BP1216 is "arrow pointing north-west vs. arrow pointing south-east".` `Adjacent-numbered pages: BP1213 BP1214 BP1215 BP1216 BP1217 * BP1219 BP1220 BP1221 BP1222 BP1223`
	KEYWORD	`stub, precise, allsorted, notso, handed, leftright, updown, rotate, left-narrow, traditional`
	CONCEPT	`diagonal (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Large black dot on the main branch vs. large black dot on a side branch.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 236.`
	CROSSREFS	`Adjacent-numbered pages: BP64 BP65 BP66 BP67 BP68 * BP70 BP71 BP72 BP73 BP74`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`line_or_curve_endpoint (info \| search),` `on_line_or_curve (info \| search),` `tracing_line_or_curve (info \| search),` `trunk_of_tree (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Straight line tangent to curve vs. straight line not tangent to curve.

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	CROSSREFS	`Adjacent-numbered pages: BP322 BP323 BP324 BP325 BP326 * BP328 BP329 BP330 BP331 BP332`
	KEYWORD	`math, traditional`
	CONCEPT	`tangent (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Small round object unreachable from the border of the box vs. small round object reachable from the border of the box.

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	COMMENTS	`Equivalently, "small round object enclosed by white loop vs. not so."`
	CROSSREFS	`Adjacent-numbered pages: BP316 BP317 BP318 BP319 BP320 * BP322 BP323 BP324 BP325 BP326`
	KEYWORD	`nice, precise, allsorted, boundingbox, perfect, pixelperfect, traditional, bordercontent`
	CONCEPT	`bounding_box (info \| search),` `path (info \| search),` `reachable (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

Light-colored texture vs. dark-colored texture.

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	COMMENTS	`More white than black vs. more black than white.`
	CROSSREFS	`See BP211 for a version of this Problem that includes as examples more general kinds of images than uniform textures.` `Adjacent-numbered pages: BP191 BP192 BP193 BP194 BP195 * BP197 BP198 BP199 BP200 BP201`
	KEYWORD	`easy, nice, spectrum, dual, blackwhite, traditional, continuous, viceversa, dithering`
	CONCEPT	`light_dark (info \| search),` `texture_area (info \| search),` `texture (info \| search)`
	WORLD	`[smaller \| same \| bigger] zoom in left \| zoom in right`
	AUTHOR	`Harry E. Foundalis`

Image of Bongard Problem with one simple solution vs. image of Bongard Problem with two "independent" simple solutions.

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	COMMENTS	`Properties are considered independent if none logically implies the other (or its opposite).` `Another way of putting it is that on the right, the most descriptive good solution is of the form "[property 1] AND [property 2] vs. neither".`
	CROSSREFS	`Adjacent-numbered pages: BP823 BP824 BP825 BP826 BP827 * BP829 BP830 BP831 BP832 BP833`
	KEYWORD	`nice, meta (see left/right), miniproblems, creativeexamples, assumesfamiliarity, structure`
	CONCEPT	`exists_one (info \| search),` `two (info \| search)`
	WORLD	`boxes_bpimage_three_per_side [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Centred vs. not.

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	CROSSREFS	`Adjacent-numbered pages: BP1151 BP1152 BP1153 BP1154 BP1155 * BP1157 BP1158 BP1159 BP1160 BP1161`
	KEYWORD	`precise, minimal, boundingbox, left-finite, left-full, perfect, pixelperfect, finishedexamples, preciseworld, absoluteposition`
	CONCEPT	`center (info \| search)`
	AUTHOR	`Leo Crabbe`

Outline circles on one straight line vs. outline circles not on one straight line.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 227.`
	CROSSREFS	`Adjacent-numbered pages: BP36 BP37 BP38 BP39 BP40 * BP42 BP43 BP44 BP45 BP46`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`collinear (info \| search),` `outlined_filled (info \| search),` `feature_cluster (info \| search),` `cluster (info \| search),` `texture (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Three parts vs. five parts.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 242.`
	CROSSREFS	`Adjacent-numbered pages: BP80 BP81 BP82 BP83 BP84 * BP86 BP87 BP88 BP89 BP90`
	KEYWORD	`nice, number, finished, traditional, bongard`
	CONCEPT	`number (info \| search),` `three (info \| search),` `five (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Triangle above circle vs. circle above triangle.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 225.`
	CROSSREFS	`Adjacent-numbered pages: BP31 BP32 BP33 BP34 BP35 * BP37 BP38 BP39 BP40 BP41`
	KEYWORD	`spectrum, dual, handed, updown, rotate, finished, orderedpair, traditional, continuous, viceversa, bongard`
	CONCEPT	`above_below (info \| search),` `triangle (info \| search),` `quantity_comparison (info \| search)`
	WORLD	`one_circle_one_eq-tri_small_outlines [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

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