The On-Line Encyclopedia of Bongard Problems

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There are more small circles inside the figure outline than outside vs. there are fewer small circles inside the figure outline than outside.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 223.`
	CROSSREFS	`Adjacent-numbered pages: BP24 BP25 BP26 BP27 BP28 * BP30 BP31 BP32 BP33 BP34`
	KEYWORD	`spectrum, finished, traditional, discrete, viceversa, bongard`
	CONCEPT	`inside (info \| search),` `interior_exterior (info \| search),` `number (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search),` `quantity_comparison (info \| search)`
	WORLD	`dot_outlines_and_larger_outline_nest [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP47

Triangle inside of the circle vs. circle inside of the triangle.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 229.`
	CROSSREFS	`Adjacent-numbered pages: BP42 BP43 BP44 BP45 BP46 * BP48 BP49 BP50 BP51 BP52`
	KEYWORD	`finished, traditional, viceversa, bongard`
	CONCEPT	`inside (info \| search),` `triangle (info \| search)`
	WORLD	`circle_triangle_outlines_nest [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP49

Points inside the figure outline are grouped more densely than outside the contour vs. points outside the figure contour are grouped more densely than inside the contour.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 230.`
	CROSSREFS	`Adjacent-numbered pages: BP44 BP45 BP46 BP47 BP48 * BP50 BP51 BP52 BP53 BP54`
	KEYWORD	`finished, traditional, viceversa, bongard`
	CONCEPT	`inside (info \| search),` `interior_exterior (info \| search),` `near_far (info \| search),` `feature_cluster (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP53

Inside figure has fewer angles than outside figure vs. inside figure has more angles than outside figure.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 231.`
	CROSSREFS	`Adjacent-numbered pages: BP48 BP49 BP50 BP51 BP52 * BP54 BP55 BP56 BP57 BP58`
	KEYWORD	`spectrum, finished, traditional, discrete, viceversa, bongard`
	CONCEPT	`inside (info \| search),` `number (info \| search),` `quantity_comparison (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP71

There are inside figures of the second order vs. there are no inside figures of the second order.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 237.`
	CROSSREFS	`See BP1022 for a Problem about presence of nesting.` `Adjacent-numbered pages: BP66 BP67 BP68 BP69 BP70 * BP72 BP73 BP74 BP75 BP76`
	KEYWORD	`nice, finished, traditional, bongard`
	CONCEPT	`recursion_number (info \| search),` `inside (info \| search),` `recursion (info \| search),` `two (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP83

A circle is inside of a figure made by crosses vs. a circle is outside of figures made by crosses.

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

	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 241.`
	CROSSREFS	`Adjacent-numbered pages: BP78 BP79 BP80 BP81 BP82 * BP84 BP85 BP86 BP87 BP88`
	KEYWORD	`finished, traditional, bongard`
	CONCEPT	`convex_hull (info \| search),` `inside (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search)`
	WORLD	`[smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP111

Middle shape is a triangle vs. middle shape is not a triangle.

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	CROSSREFS	`Adjacent-numbered pages: BP106 BP107 BP108 BP109 BP110 * BP112 BP113 BP114 BP115 BP116`
	KEYWORD	`traditional`
	CONCEPT	`between (info \| search),` `inside (info \| search),` `triangle (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP128

Same objects inside and outside the large shape vs. not same objects inside and outside the large shape.

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	CROSSREFS	`Adjacent-numbered pages: BP123 BP124 BP125 BP126 BP127 * BP129 BP130 BP131 BP132 BP133`
	KEYWORD	`noisy, traditional`
	CONCEPT	`inside (info \| search),` `interior_exterior (info \| search),` `outlined_filled (info \| search),` `shape_cluster (info \| search),` `cluster (info \| search),` `same_number (info \| search),` `same (info \| search),` `texture (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP146

A shape contains a square if and only if it is a circle vs. a shape contains a square if and only if it is a triangle.

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	CROSSREFS	`Adjacent-numbered pages: BP141 BP142 BP143 BP144 BP145 * BP147 BP148 BP149 BP150 BP151`
	KEYWORD	`traditional`
	CONCEPT	`iff (info \| search),` `inside (info \| search),` `triangle (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP198

Stays in vs. escapes.

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	CROSSREFS	`Adjacent-numbered pages: BP193 BP194 BP195 BP196 BP197 * BP199 BP200 BP201 BP202 BP203`
	KEYWORD	`nice`
	CONCEPT	`line_or_curve_endpoint (info \| search),` `inside (info \| search),` `tracing_line_or_curve (info \| search)`
	AUTHOR	`Harry E. Foundalis`

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