The On-Line Encyclopedia of Bongard Problems

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BP241

Circumference shorter than length of everything else vs. circumference longer than length of everything else.

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	CROSSREFS	`Adjacent-numbered pages: BP236 BP237 BP238 BP239 BP240 * BP242 BP243 BP244 BP245 BP246`
	KEYWORD	`traditional`
	CONCEPT	`length_line_or_curve (info \| search)`
	AUTHOR	`Matthew J. Howells`

BP394

For each colored square only, there exists a path starting on it that covers each square of the figure exactly once vs. there is no path that starts on a colored square and covers each square of the figure exactly once.

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

	CROSSREFS	`Adjacent-numbered pages: BP389 BP390 BP391 BP392 BP393 * BP395 BP396 BP397 BP398 BP399`
	KEYWORD	`hard, nice, solved, traditional, dithering, left-listable, right-listable`
	CONCEPT	`existence (info \| search),` `path (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search)`
	AUTHOR	`Jago Collins`

BP385

Nets of cubes vs. not nets of cubes.

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	CROSSREFS	`Adjacent-numbered pages: BP380 BP381 BP382 BP383 BP384 * BP386 BP387 BP388 BP389 BP390`
	KEYWORD	`nice, notso, left-finite, traditional`
	CONCEPT	`3d_net (info \| search)`
	WORLD	`square_outlines_sharing_edges [smaller \| same \| bigger] zoom in left (cube_net)`
	AUTHOR	`Jago Collins`

BP15

Closed shape outline vs. non-closed curve.

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	COMMENTS	`All examples in this Bongard Problem are non-self-intersecting curves.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 218.`
	CROSSREFS	`Adjacent-numbered pages: BP10 BP11 BP12 BP13 BP14 * BP16 BP17 BP18 BP19 BP20`
	KEYWORD	`nice, unstable, world, finished, traditional, bongard`
	CONCEPT	`closed_open (info \| search),` `hole (info \| search),` `loop (info \| search)`
	WORLD	`curve_or_outline [smaller \| same \| bigger] zoom in left (shape_outline) \| zoom in right (curve)`
	AUTHOR	`Mikhail M. Bongard`

BP220

One cluster vs. two clusters.

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	CROSSREFS	`Adjacent-numbered pages: BP215 BP216 BP217 BP218 BP219 * BP221 BP222 BP223 BP224 BP225`
	KEYWORD	`traditional`
	CONCEPT	`number (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `one (info \| search),` `two (info \| search)`
	AUTHOR	`Giuseppe Insana`

BP1019

White space in two circles maximum vs. white space in three circles maximum.

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	CROSSREFS	`Adjacent-numbered pages: BP1014 BP1015 BP1016 BP1017 BP1018 * BP1020 BP1021 BP1022 BP1023 BP1024`
	KEYWORD	`nice, precise, traditional`
	CONCEPT	`recursion_number (info \| search),` `separated_regions (info \| search),` `circle (info \| search),` `recursion (info \| search),` `two (info \| search),` `three (info \| search)`
	WORLD	`circles_cross [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

BP1114

Fractals contain one another vs. only one contains the other.

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

	CROSSREFS	`Adjacent-numbered pages: BP1109 BP1110 BP1111 BP1112 BP1113 * BP1115 BP1116 BP1117 BP1118 BP1119`
	KEYWORD	`perfect, infinitedetail, unorderedpair`
	CONCEPT	`fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	AUTHOR	`Aaron David Fairbanks`

BP60

Some similar figures vs. no similar figures.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 233.`
	CROSSREFS	`Adjacent-numbered pages: BP55 BP56 BP57 BP58 BP59 * BP61 BP62 BP63 BP64 BP65`
	KEYWORD	`noisy, finished, traditional, bongard`
	CONCEPT	`similar_shape (info \| search),` `similar (info \| search)`
	WORLD	`outlines [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP1094

Convex hulls intersect vs. not

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

	CROSSREFS	`Adjacent-numbered pages: BP1089 BP1090 BP1091 BP1092 BP1093 * BP1095 BP1096 BP1097 BP1098 BP1099`
	KEYWORD	`precise, perfect, unorderedpair`
	CONCEPT	`convex_hull (info \| search),` `overlap (info \| search)`
	AUTHOR	`Jago Collins`

BP1046

More white circles than black circles vs. at least as many black circles as white circles.

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

	CROSSREFS	`See the twin BP1044.` `Adjacent-numbered pages: BP1041 BP1042 BP1043 BP1044 BP1045 * BP1047 BP1048 BP1049 BP1050 BP1051`
	KEYWORD	`precise, allsorted, spectrum, discrete, preciseworld`
	CONCEPT	`ratio (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

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