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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)

WORLD

zoom in left | zoom in right

AUTHOR

Jago Collins

BP1185 Smaller section tiles the grid (element-wise rotation of tiles allowed) vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

Adjacent-numbered pages:
BP1180 BP1181 BP1182 BP1183 BP1184  *  BP1186 BP1187 BP1188 BP1189 BP1190

KEYWORD

precise, allsorted, notso, grid, miniworlds

CONCEPT element_wise_symmetry (info | search),
tiling (info | search)

AUTHOR

Leo Crabbe

BP1187 Smaller section tiles the grid vs. not so.
(edit; present; nest [left/right]; search; history)
CROSSREFS

See BP1185 for the version of this solution where element-wise rotation of tiles is allowed.

Adjacent-numbered pages:
BP1182 BP1183 BP1184 BP1185 BP1186  *  BP1188 BP1189 BP1190 BP1191 BP1192

KEYWORD

allsorted, notso, grid

CONCEPT element_wise_symmetry (info | search),
tiling (info | search)

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

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