The On-Line Encyclopedia of Bongard Problems

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BP20

Both dots touching same bulb vs. dots on opposite bulbs.

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	COMMENTS	`All examples in this Bongard Problem are outlines of smooth shapes with a pinch in the middle and with two tiny black circles attached to the outside of the shape (tangent).` `A shape with either dot tangent to the the valley section would be ambiguous.`
	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 220.`
	CROSSREFS	`Adjacent-numbered pages: BP15 BP16 BP17 BP18 BP19 * BP21 BP22 BP23 BP24 BP25`
	KEYWORD	`nice, finished, traditional, bongard`
	CONCEPT	`near_far (info \| search),` `neck_narrowing (info \| search),` `separation_of_joined_objects (info \| search)`
	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.

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	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`

BP51

Two circles close to each other vs. no two circles close to each other.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 230.`
	CROSSREFS	`Adjacent-numbered pages: BP46 BP47 BP48 BP49 BP50 * BP52 BP53 BP54 BP55 BP56`
	KEYWORD	`nice, finished, traditional, bongard`
	CONCEPT	`near_far (info \| search)`
	WORLD	`four_dot_outlines [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP62

Ends of the curve are far apart vs. ends of the curve are close together.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 234.`
	CROSSREFS	`Adjacent-numbered pages: BP57 BP58 BP59 BP60 BP61 * BP63 BP64 BP65 BP66 BP67`
	KEYWORD	`nice, fuzzy, spectrum, stretch, stable, finished, traditional, continuous, bongard`
	CONCEPT	`line_or_curve_endpoint (info \| search),` `near_far (info \| search)`
	WORLD	`curve [smaller \| same \| bigger]`
	AUTHOR	`Mikhail M. Bongard`

BP79

A dark circle is closer to the outline circle than to the triangle vs. a dark circle is closer to the triangle than to the outline circle.

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	REFERENCE	`M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 240.`
	CROSSREFS	`Adjacent-numbered pages: BP74 BP75 BP76 BP77 BP78 * BP80 BP81 BP82 BP83 BP84`
	KEYWORD	`spectrum, finished, traditional, continuous, viceversa, bongard`
	CONCEPT	`length_line_or_curve (info \| search),` `near_far (info \| search),` `outlined_filled (info \| search),` `texture (info \| search),` `triangle (info \| search)`
	AUTHOR	`Mikhail M. Bongard`

BP149

Lone square vs. lone circle.

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	CROSSREFS	`Adjacent-numbered pages: BP144 BP145 BP146 BP147 BP148 * BP150 BP151 BP152 BP153 BP154`
	KEYWORD	`traditional`
	CONCEPT	`near_far (info \| search),` `feature_cluster (info \| search),` `cluster_of_one (info \| search),` `cluster (info \| search),` `one (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP151

If the circle closest to the cross is removed, the rest form an equilateral triangle vs. not so.

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	CROSSREFS	`Adjacent-numbered pages: BP146 BP147 BP148 BP149 BP150 * BP152 BP153 BP154 BP155 BP156`
	KEYWORD	`traditional`
	CONCEPT	`correspondence (info \| search),` `length_line_or_curve (info \| search),` `near_far (info \| search),` `number (info \| search),` `mentally_remove_object (info \| search),` `equilateral_triangle (info \| search),` `triangle (info \| search)`
	AUTHOR	`Douglas R. Hofstadter`

BP182

Concave if proximal border points are connected vs. convex if proximal border points are connected.

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	CROSSREFS	`Adjacent-numbered pages: BP177 BP178 BP179 BP180 BP181 * BP183 BP184 BP185 BP186 BP187`
	KEYWORD	`nice, traditional`
	CONCEPT	`concave_convex_angle (info \| search),` `near_far (info \| search)`
	AUTHOR	`Harry E. Foundalis`

BP212

No dot is too far apart from another dot vs. at least one dot is far apart from all other dots.

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	CROSSREFS	`Adjacent-numbered pages: BP207 BP208 BP209 BP210 BP211 * BP213 BP214 BP215 BP216 BP217`
	KEYWORD	`traditional`
	CONCEPT	`collinear (info \| search),` `near_far (info \| search),` `curve_texture (info \| search),` `texture (info \| search)`
	AUTHOR	`Giuseppe Insana`

BP227

Dots touch each other if and only if no large region touches the edges of the box vs. dots dont touch each other if and only if no large region touches the edges of the box.

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	CROSSREFS	`Adjacent-numbered pages: BP222 BP223 BP224 BP225 BP226 * BP228 BP229 BP230 BP231 BP232`
	KEYWORD	`convoluted, traditional`
	CONCEPT	`iff (info \| search),` `near_far (info \| search)`
	AUTHOR	`Giuseppe Insana`

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