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BP986 Palindromes vs. not palindromes.
(edit; present; nest [left/right]; search; history)
COMMENTS

All examples in this Problem are sequences of graphic symbols. In this Problem, a "palindrome" is taken to be an ordered sequence which is the same read left-to-right as it is read right-to-left. A more formal solution to this Problem could be: "Sequences which are invariant under a permutation which swaps first and last entries, second and second last entries, third and third last entries, ... and so on vs. sequences which are not invariant under the aforementioned permutamation."

CROSSREFS

Adjacent-numbered pages:
BP981 BP982 BP983 BP984 BP985  *  BP987 BP988 BP989 BP990 BP991

KEYWORD

nice, precise, allsorted, notso, sequence, traditional

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

AUTHOR

Jago Collins

BP1086 Endpoints of curve have the same height vs. not so.
(edit; present; nest [left/right]; search; history)
REFERENCE

Solution idea seen here: https://justpuzzles.wordpress.com/2019/07/05/bongard-problem-36-2.

CROSSREFS

Adjacent-numbered pages:
BP1081 BP1082 BP1083 BP1084 BP1085  *  BP1087 BP1088 BP1089 BP1090 BP1091

KEYWORD

nice, rotate, stretch, left-narrow, traditional

CONCEPT same (info | search)

WORLD

[smaller | same | bigger]

AUTHOR

Teun Spaans

BP1138 Each attribute is shared by every group or none vs. some attribute is shared by exactly two groups
(edit; present; nest [left/right]; search; history)
COMMENTS

Attributes are shading, shape, and number.

There are always three groups.

This problem is related to the card game Set.

CROSSREFS

Adjacent-numbered pages:
BP1133 BP1134 BP1135 BP1136 BP1137  *  BP1139 BP1140 BP1141 BP1142 BP1143

KEYWORD

nice, notso

CONCEPT all (info | search),
number (info | search),
same (info | search),
two (info | search),
three (info | search)

AUTHOR

William B Holland

BP1222 Same shape up to resizing vs. different shapes.
(edit; present; nest [left/right]; search; history)
CROSSREFS

BP57 instead requires the shapes are identical, even in size.

Adjacent-numbered pages:
BP1217 BP1218 BP1219 BP1220 BP1221  *  BP1223 BP1224 BP1225 BP1226 BP1227

KEYWORD

stub, precise, allsorted, traditional

CONCEPT size (info | search),
same_shape (info | search),
same (info | search)

AUTHOR

Aaron David Fairbanks

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