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BP1116 Contains self somewhere within any area around any point within self vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Very similar to the less clearly-defined solution "tiles itself with infinitely many copies (different sizes allowed) vs. does not".


The left hand side of this is a weaker condition than the left hand side of BP1241.

CROSSREFS

Adjacent-numbered pages:
BP1111 BP1112 BP1113 BP1114 BP1115  *  BP1117 BP1118 BP1119 BP1120 BP1121

KEYWORD

notso, perfect, infinitedetail

CONCEPT topological_density (info | search),
fractal (info | search),
recursion (info | search),
self-reference (info | search)

WORLD

connected_fractal [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1206 Vertical axis of symmetry vs. no vertical axis of symmetry.
(edit; present; nest [left/right]; search; history)
COMMENTS

The solution for this Bongard Problem is also a (less specific) solution for BP500, "vertical axis of symmetry vs. no axis of symmetry".

CROSSREFS

BP1207 is the same solution but using the horizontal axis instead of the vertical axis.

BP1215 is the same solution but with the NW/SE diagonal instead of the vertical axis.

Adjacent-numbered pages:
BP1201 BP1202 BP1203 BP1204 BP1205  *  BP1207 BP1208 BP1209 BP1210 BP1211

KEYWORD

stub, notso, stretch, left-narrow, traditional

CONCEPT symmetry_axis (info | search),
symmetry (info | search),
vertical (info | search)

AUTHOR

Aaron David Fairbanks

BP138 No dot well within the convex hull vs. at least one dot well within the convex hull.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP133 BP134 BP135 BP136 BP137  *  BP139 BP140 BP141 BP142 BP143

KEYWORD

traditional

CONCEPT convex_hull (info | search),
existence (info | search),
imagined_shape (info | search),
imagined_entity (info | search)

WORLD

5_dots [smaller | same | bigger]

AUTHOR

Douglas R. Hofstadter

BP1048 Colors divide dots into some fifths vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1043 BP1044 BP1045 BP1046 BP1047  *  BP1049 BP1050 BP1051 BP1052 BP1053

KEYWORD

precise, allsorted, arbitrary, preciseworld

CONCEPT ratio (info | search),
five (info | search)

WORLD

outline_or_fill_circles_same_size [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP362 Image that solves the analogy exists vs. image that solves the analogy does not exist.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP357 BP358 BP359 BP360 BP361  *  BP363 BP364 BP365 BP366 BP367

KEYWORD

creativeexamples, assumesfamiliarity, structure, rules

CONCEPT analogy (info | search),
imagined_shape (info | search),
imagined_entity (info | search)

AUTHOR

Aaron David Fairbanks

BP284 Half of the square is filled vs. either more or less than half of the square is filled.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP279 BP280 BP281 BP282 BP283  *  BP285 BP286 BP287 BP288 BP289

KEYWORD

nice, traditional

CONCEPT half (info | search),
outlined_filled (info | search),
texture (info | search)

AUTHOR

"Lewis"

BP1266 Angles either only increase or only decrease as one moves along the curve vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

It does not matter which end of the curve one starts from, nor which "side" angles are measured from, so long as the side is kept consistent.

CROSSREFS

Adjacent-numbered pages:
BP1261 BP1262 BP1263 BP1264 BP1265  *  BP1267 BP1268 BP1269 BP1270 BP1271

KEYWORD

allsorted, notso, traditional

CONCEPT angle (info | search),
size_increase_decrease (info | search)

AUTHOR

Leo Crabbe

BP223 Large black region if completed is a circle vs. large black region if completed is an ellipse.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP218 BP219 BP220 BP221 BP222  *  BP224 BP225 BP226 BP227 BP228

KEYWORD

noisy, perfect, traditional

CONCEPT imperfection_small (info | search)

AUTHOR

Giuseppe Insana

BP1258 It is possible to deduce the contents of any square from the rest vs. it is not.
(edit; present; nest [left/right]; search; history)
CROSSREFS

BP979 is very similar: whether a particular square can be deduced from the rest.

Adjacent-numbered pages:
BP1253 BP1254 BP1255 BP1256 BP1257  *  BP1259 BP1260 BP1261 BP1262 BP1263

KEYWORD

notso, rules, grid, miniworlds

CONCEPT convey_enough_information (info | search),
choice (info | search)

WORLD

grid_of_images_with_rule [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP311 Number of sides minus number of pluses = 3 vs. number of sides minus number of pluses = 4.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP306 BP307 BP308 BP309 BP310  *  BP312 BP313 BP314 BP315 BP316

KEYWORD

traditional

CONCEPT subtraction (info | search),
number (info | search)

AUTHOR

Jakub Štepo

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