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BP20 Both dots touching same bulb vs. dots on opposite bulbs.
(edit; present; nest [left/right]; search; history)
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.
(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

BP51 Two circles close to each other vs. no two circles close to each other.
(edit; present; nest [left/right]; search; history)
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.
(edit; present; nest [left/right]; search; history)
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.
(edit; present; nest [left/right]; search; history)
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.
(edit; present; nest [left/right]; search; history)
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.
(edit; present; nest [left/right]; search; history)
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.
(edit; present; nest [left/right]; search; history)
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.
(edit; present; nest [left/right]; search; history)
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.
(edit; present; nest [left/right]; search; history)
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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