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BP74 A tail grows from the obtuse end vs. a tail grows from the acute end.
(edit; present; nest [left/right]; search; history)
REFERENCE

M. M. Bongard, Pattern Recognition, Spartan Books, 1970, p. 238.

CROSSREFS

Adjacent-numbered pages:
BP69 BP70 BP71 BP72 BP73  *  BP75 BP76 BP77 BP78 BP79

KEYWORD

nice, finished, traditional, bongard

CONCEPT size_increase_decrease (info | search),
tracing_line_or_curve (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search)

AUTHOR

Mikhail M. Bongard

BP235 The rope, if extended, reaches the other ball vs. the rope, if extended, does not reach the other ball.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP230 BP231 BP232 BP233 BP234  *  BP236 BP237 BP238 BP239 BP240

KEYWORD

anticomputer, traditional

CONCEPT length_line_or_curve (info | search),
reachable (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search)

AUTHOR

Peter Shanahan

BP347 No pattern (variety of shapes) vs. all shapes have something in common.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP378 for a similar idea using just two objects per example.

Adjacent-numbered pages:
BP342 BP343 BP344 BP345 BP346  *  BP348 BP349 BP350 BP351 BP352

KEYWORD

nice, left-unknowable, right-narrow, traditional, collection

CONCEPT existence (info | search),
shape_cluster (info | search),
cluster_of_one (info | search),
cluster (info | search)

WORLD

several_small_misc [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP252 Impossible solid in 3-D vs. possible solid in 3-D.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP247 BP248 BP249 BP250 BP251  *  BP253 BP254 BP255 BP256 BP257

KEYWORD

anticomputer, traditional

CONCEPT impossible (info | search),
3d_impossible_solid (info | search)

AUTHOR

Andreas Gunnarsson

BP287 Rays emanating from a central point vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP282 BP283 BP284 BP285 BP286  *  BP288 BP289 BP290 BP291 BP292

KEYWORD

traditional

CONCEPT lines_coincide (info | search),
imagined_point (info | search),
imagined_line_or_curve (info | search),
imagined_entity (info | search),
triangle_arrow (info | search),
triangle (info | search)

AUTHOR

"Lewis"

BP185 Curve with two complex parts vs. curve with three complex parts.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP180 BP181 BP182 BP183 BP184  *  BP186 BP187 BP188 BP189 BP190

KEYWORD

traditional

CONCEPT number (info | search),
curve_texture (info | search),
texture (info | search)

WORLD

curve [smaller | same | bigger]

AUTHOR

Harry E. Foundalis

BP1107 Contains smaller copy of self with black and white inverted vs. not so.
(edit; present; nest [left/right]; search; history)
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

BP123 Similar shapes vs. dissimilar shapes.
(edit; present; nest [left/right]; search; history)
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

BP112 X-coordinates of dots are equidistant vs. y-coordinates of dots are equidistant.
(edit; present; nest [left/right]; search; history)
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

BP1044 More black circles than white circles vs. at least as many white circles as black circles.
(edit; present; nest [left/right]; search; history)
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

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