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Search: author:Leo Crabbe
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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  *  BP1255 BP1256 BP1257 BP1258 BP1259

KEYWORD

dual, 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 BP1255 BP1256 BP1257 BP1258

KEYWORD

gap, 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)
COMMENTS

The left-sorted patterns connect all four corners with a single black region. - Rhodri Prysor, Oct 16 2024

CROSSREFS

Adjacent-numbered pages:
BP1247 BP1248 BP1249 BP1250 BP1251  *  BP1253 BP1254 BP1255 BP1256 BP1257

KEYWORD

precise, allsorted, notso, blackwhite, right-null, bordercontent

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 BP1255 BP1256

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 BP1255

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, bordercontent

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

Any small amount of convexity along the grey border will cause an example to fit right.

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

BP1240 Contains an un-nested white rectangle vs doesn't
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1235 BP1236 BP1237 BP1238 BP1239  *  BP1241 BP1242 BP1243 BP1244 BP1245

CONCEPT existence (info | search)

AUTHOR

Leo Crabbe

BP1202 Color of any region is an equal mix of the colors of the overlapping shapes vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1197 BP1198 BP1199 BP1200 BP1201  *  BP1203 BP1204 BP1205 BP1206 BP1207

KEYWORD

precise, allsorted, notso, color

AUTHOR

Leo Crabbe

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