login
Hints
(Greetings from The On-Line Encyclopedia of Bongard Problems!)
Search: all
Displaying 1151-1160 of 1161 results found. ( prev | next )     page 1 ... 107 108 109 110 111 112 113 114 115 116 117
     Sort: id      Format: long      Filter: (all | no meta | meta)      Mode: (words | no words)
BP1259 Rule is the same for rows as it is for columns vs. not
?
?
?
(edit; present; nest [left/right]; search; history)
CROSSREFS

All examples on the left are chosen so that rotating or flipping the grid in any way would result in a grid satisfying the same rule.

Adjacent-numbered pages:
BP1254 BP1255 BP1256 BP1257 BP1258  *  BP1260 BP1261 BP1262 BP1263 BP1264

KEYWORD

notso, rules, grid, miniworlds

WORLD

grid_of_images_with_rule [smaller | same | bigger]

AUTHOR

Aaron David Fairbanks

BP1260 Same transformation applied to circle, triangle, and square vs. different transformations applied.
(edit; present; nest [left/right]; search; history)
CROSSREFS

BP839 is about applying opposite transformations to a single object.

Adjacent-numbered pages:
BP1255 BP1256 BP1257 BP1258 BP1259  *  BP1261 BP1262 BP1263 BP1264 BP1265

KEYWORD

easy, nice, abstract, arbitrary, anticomputer, left-null, structure, orderedtriplet, traditional, rules

CONCEPT circle (info | search),
analogy (info | search),
square (info | search),
same (info | search),
triangle (info | search),
function (info | search)

AUTHOR

Aaron David Fairbanks

BP1261 Exactly one connected white region for each possible way shapes can overlap vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

All left-sorted examples have 2^n distinct white regions (counting the background), where n is the number of shapes in the image.

REFERENCE

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

CROSSREFS

Similar solution to BP1262, except there overlaps do not have to be unique.

Adjacent-numbered pages:
BP1256 BP1257 BP1258 BP1259 BP1260  *  BP1262 BP1263 BP1264 BP1265 BP1266

KEYWORD

notso, left-narrow, left-null, perfect

CONCEPT exists_one (info | search)

AUTHOR

Leo Crabbe

BP1262 Shapes overlap in every possible way vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Similar solution to BP1261, except overlaps do not have to be unique.

CROSSREFS

Adjacent-numbered pages:
BP1257 BP1258 BP1259 BP1260 BP1261  *  BP1263 BP1264 BP1265 BP1266 BP1267

KEYWORD

precise, left-null

AUTHOR

Leo Crabbe

BP1263 Uncategorizable images vs. categorizable images.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1258 BP1259 BP1260 BP1261 BP1262  *  BP1264 BP1265 BP1266 BP1267 BP1268

KEYWORD

overriddensolution, left-finite, left-full, right-null, invalid, impossible, funny

WORLD

[smaller | same | bigger]

AUTHOR

Leo Crabbe

BP1264 Any shape's axis of reflection is shared by another shape vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1259 BP1260 BP1261 BP1262 BP1263  *  BP1265 BP1266 BP1267 BP1268 BP1269

KEYWORD

precise, allsorted, notso, left-narrow

CONCEPT symmetry (info | search)

AUTHOR

Leo Crabbe

BP1265 Visual Bongard Problems about unsorted collections of objects vs. other visual Bongard Problems.
BP343
BP347
BP349
BP379
BP380
BP384
BP792
?
BP824
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted Bongard Problems have the keyword "collection" on the OEBP.


A Problem is sorted left if its examples typically multiple objects, and the solution pertains to the way properties of the objects interrelate. If the positions of objects are relevant to the solution (see "sequence" Problems: BP929), then the Problem is sorted right.



CROSSREFS

Adjacent-numbered pages:
BP1260 BP1261 BP1262 BP1263 BP1264  *  BP1266 BP1267 BP1268 BP1269

KEYWORD

meta (see left/right), links, keyword

AUTHOR

Leo Crabbe

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

KEYWORD

allsorted, notso, traditional

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

AUTHOR

Leo Crabbe

BP1267 Any two lines intersect, and no three lines share an intersection point vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

Left-sorted examples divide the plane into a maximal amount of disconnected white regions by a given number of "cuts". The number of regions in one of these examples will be the nth value of of the Lazy Caterer sequence ( https://oeis.org/A000124 ), where n is the number of lines.

REFERENCE

https://en.wikipedia.org/wiki/Lazy_caterer%27s_sequence

CROSSREFS

Adjacent-numbered pages:
BP1262 BP1263 BP1264 BP1265 BP1266  *  BP1268 BP1269

KEYWORD

precise, allsorted, notso, perfect

AUTHOR

Leo Crabbe

BP1268 Palindromic when elements are grouped into (more than one) equal-sized blocks vs. no grouping of elements into (more than one) equal-sized blocks is palindromic.
(edit; present; nest [left/right]; search; history)
COMMENTS

Any palindrome would be sorted left, except strings of length zero or one.

CROSSREFS

Adjacent-numbered pages:
BP1263 BP1264 BP1265 BP1266 BP1267  *  BP1269

KEYWORD

precise, allsorted, unwordable, sequence, traditional, miniworlds

CONCEPT element_wise_symmetry (info | search),
sequence (info | search),
same_shape (info | search),
same (info | search)

WORLD

zoom in left | zoom in right

AUTHOR

Leo Crabbe

( prev | next )     page 1 ... 107 108 109 110 111 112 113 114 115 116 117

Welcome | Solve | Browse | Lookup | Recent | Links | Register | Contact
Contribute | Keywords | Concepts | Worlds | Ambiguities | Transformations | Invalid Problems | Style Guide | Goals | Glossary