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BP1254 Bongard Problems with solutions of the form "[X] vs. [representation of X]" vs. vice versa.
BP1126
BP1219
BP1253
BP1056
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1249 BP1250 BP1251 BP1252 BP1253  * 

KEYWORD

meta (see left/right), links, viceversa

AUTHOR

Leo Crabbe

BP1253 Text strings vs. images of text strings

WWWWWWW

____hem

image

joym

жю

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

Adjacent-numbered pages:
BP1248 BP1249 BP1250 BP1251 BP1252  *  BP1254

KEYWORD

experimental

AUTHOR

Leo Crabbe

BP1252 No entirely white paths from one side to another vs. one can find such a path.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1247 BP1248 BP1249 BP1250 BP1251  *  BP1253 BP1254

KEYWORD

precise, allsorted, notso, blackwhite

AUTHOR

Leo Crabbe

BP1251 BPs whose right-sorted examples exhibit the following property: if a square region of any right-sorted example is replaced with any other right-sorted example, the resultant image is also sorted right vs. BPs whose right-sorted examples do not exhibit this property.
BP1
BP969
BP1224
BP211
BP971
BP1249
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1246 BP1247 BP1248 BP1249 BP1250  *  BP1252 BP1253 BP1254

KEYWORD

unwordable, meta (see left/right), links

AUTHOR

Leo Crabbe

BP1250 BPs whose left-sorted examples exhibit the following property: if a square region of any left-sorted example is replaced with any other left-sorted example, the resultant image is also sorted left vs. BPs whose left-sorted examples do not exhibit this property.
BP1
BP969
BP977
BP1022
BP1151
BP1249
BP211
BP359
BP971
BP1089
BP1224
BP1252
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1245 BP1246 BP1247 BP1248 BP1249  *  BP1251 BP1252 BP1253 BP1254

KEYWORD

unwordable, meta (see left/right), links

AUTHOR

Leo Crabbe

BP1249 Any straight path will hit a black region vs. not so.
(edit; present; nest [left/right]; search; history)
REFERENCE

https://en.wikipedia.org/wiki/Opaque_set

CROSSREFS

Adjacent-numbered pages:
BP1244 BP1245 BP1246 BP1247 BP1248  *  BP1250 BP1251 BP1252 BP1253 BP1254

KEYWORD

notso, blackwhite, right-null, perfect

CONCEPT imagined_line_or_curve (info | search)

AUTHOR

Leo Crabbe

BP1248 No straight path passes from a white region to a grey one, then to white again (without hitting black) vs. such a path exists.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1243 BP1244 BP1245 BP1246 BP1247  *  BP1249 BP1250 BP1251 BP1252 BP1253

KEYWORD

precise, allsorted, unwordable, notso, perfect

CONCEPT imagined_line_or_curve (info | search)

WORLD

[smaller | same | bigger]
zoom in left

AUTHOR

Leo Crabbe

BP1247 No straight path from one side of the panel to the other passes through the grey shape without hitting a black region vs. such a path exists.
(edit; present; nest [left/right]; search; history)
REFERENCE

https://en.wikipedia.org/wiki/Opaque_set

CROSSREFS

Adjacent-numbered pages:
BP1242 BP1243 BP1244 BP1245 BP1246  *  BP1248 BP1249 BP1250 BP1251 BP1252

KEYWORD

precise, allsorted, unwordable, notso

CONCEPT imagined_line_or_curve (info | search)

WORLD

[smaller | same | bigger]
zoom in left

AUTHOR

Leo Crabbe

BP1246 Any symmetry exhibited by some non-empty subset of the objects is also a symmetry of the whole thing vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

In other words, placing the image over itself (rotation and flipping allowed) so that any parts match up makes the whole image match up to itself vs. not so.

CROSSREFS

See BP965 for a variation on this idea where the "parts" are allowed to be arbitrary regions of the image instead of individual objects shown in the image.

Adjacent-numbered pages:
BP1241 BP1242 BP1243 BP1244 BP1245  *  BP1247 BP1248 BP1249 BP1250 BP1251

KEYWORD

precise, allsorted, unwordable, notso, traditional

CONCEPT self-reference (info | search),
symmetry (info | search)

AUTHOR

Aaron David Fairbanks

BP1245 When two players alternate coloring regions, either can force connection from top edge to bottom edge vs. either can force connection from left edge to right edge.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1240 BP1241 BP1242 BP1243 BP1244  *  BP1246 BP1247 BP1248 BP1249 BP1250

KEYWORD

hard, precise, convoluted, dual, rotate, boundingbox, hardsort, challenge, proofsrequired

AUTHOR

Aaron David Fairbanks

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