The On-Line Encyclopedia of Bongard Problems

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Contains smaller copy of self with black and white inverted vs. not so.

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	COMMENTS	`There are various problematic cases left out. Are black and white to be inverted within a fractal's convex hull or its outermost outline?` `Must this outline be preserved around the smaller inverted version of the fractal, or is it allowed to bleed into other white areas?` `No examples have been included in this Bongard Problem whose placement depends on these questions.`
	CROSSREFS	`Adjacent-numbered pages: BP1102 BP1103 BP1104 BP1105 BP1106 * BP1108 BP1109 BP1110 BP1111 BP1112`
	KEYWORD	`perfect, infinitedetail`
	CONCEPT	`black_white_inversion (info \| search),` `fractal (info \| search),` `recursion (info \| search),` `self-reference (info \| search)`
	WORLD	`fractal [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Similar shapes vs. dissimilar shapes.

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	CROSSREFS	`Adjacent-numbered pages: BP118 BP119 BP120 BP121 BP122 * BP124 BP125 BP126 BP127 BP128`
	KEYWORD	`noisy, traditional`
	CONCEPT	`similar_shape (info \| search),` `similar (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

X-coordinates of dots are equidistant vs. y-coordinates of dots are equidistant.

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	CROSSREFS	`Adjacent-numbered pages: BP107 BP108 BP109 BP110 BP111 * BP113 BP114 BP115 BP116 BP117`
	KEYWORD	`hard, nice, antihuman, traditional`
	CONCEPT	`coordinate (info \| search),` `length_line_or_curve (info \| search),` `midpoint (info \| search),` `imagined_line_or_curve (info \| search),` `imagined_entity (info \| search),` `same_feature (info \| search),` `same (info \| search)`
	WORLD	`three_points [smaller \| same \| bigger]`
	AUTHOR	`Douglas R. Hofstadter`

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

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	CROSSREFS	`See the twin BP1046.` `Adjacent-numbered pages: BP1039 BP1040 BP1041 BP1042 BP1043 * BP1045 BP1046 BP1047 BP1048 BP1049`
	KEYWORD	`precise, allsorted, spectrum, discrete, preciseworld`
	CONCEPT	`ratio (info \| search)`
	WORLD	`outline_or_fill_circles_same_size [smaller \| same \| bigger]`
	AUTHOR	`Aaron David Fairbanks`

Acceleration and deceleration vs. constant speed.

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	CROSSREFS	`Adjacent-numbered pages: BP295 BP296 BP297 BP298 BP299 * BP301 BP302 BP303 BP304 BP305`
	KEYWORD	`animated, experimental`
	CONCEPT	`acceleration (info \| search),` `size_increase_decrease (info \| search),` `speed (info \| search),` `real_motion (info \| search),` `motion (info \| search)`
	AUTHOR	`Harry E. Foundalis`

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`

Smiley face vs. not a smiley face.

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	CROSSREFS	`Adjacent-numbered pages: BP209 BP210 BP211 BP212 BP213 * BP215 BP216 BP217 BP218 BP219`
	KEYWORD	`less, culture`
	CONCEPT	`specific_style (info \| search),` `specificity (info \| search)`
	AUTHOR	`Giuseppe Insana`

Arrows which if moved at speeds proportional to their length would pass eachother vs. not so

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	CROSSREFS	`Adjacent-numbered pages: BP1251 BP1252 BP1253 BP1254 BP1255 * BP1257 BP1258 BP1259 BP1260 BP1261`
	KEYWORD	`precise, physics, unorderedpair, traditional`
	CONCEPT	`arrow (info \| search)`
	AUTHOR	`Matt Samuels`

Vertical hatched lines vs. horizontal hatched lines.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 245.`
	CROSSREFS	`Adjacent-numbered pages: BP90 BP91 BP92 BP93 BP94 * BP96 BP97 BP98 BP99 BP100`
	KEYWORD	`dual, rotate, finished, traditional, bongard`
	CONCEPT	`horizontal (info \| search),` `texture_area (info \| search),` `texture (info \| search),` `vertical (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

Two unique distances between points vs. three unique distances between points.

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	CROSSREFS	`Adjacent-numbered pages: BP944 BP945 BP946 BP947 BP948 * BP950 BP951 BP952 BP953 BP954`
	KEYWORD	`nice, precise, allsorted, stretch, perfect, traditional, preciseworld`
	CONCEPT	`two (info \| search),` `three (info \| search)`
	WORLD	`3_or_4_points [smaller \| same \| bigger]`
	AUTHOR	`Leo Crabbe`

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