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Search: ex:EX8123
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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, miniworlds

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

WORLD

[smaller | same | bigger]
zoom in left | zoom in right

AUTHOR

Jago Collins

BP1175 Each symbol appears once in any given row or column vs. not so.
(edit; present; nest [left/right]; search; history)
REFERENCE

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

CROSSREFS

Adjacent-numbered pages:
BP1170 BP1171 BP1172 BP1173 BP1174  *  BP1176 BP1177 BP1178 BP1179 BP1180

KEYWORD

precise, traditional, grid, miniworlds, dithering

AUTHOR

Leo Crabbe

BP1276 Ways of representing the sequence "ABABCBACCBAC" by grouping its elements into equal-sized blocks and relabelling them (identical blocks are represented by the same element) vs. representations of different sequences.
(edit; present; nest [left/right]; search; history)
COMMENTS

The solver isn't expected to word their solution as it is put above, but to notice that the sequences on the left all "agree" with each other under the aforementioned grouping rule. The 12-element sequence in EX10249 can be "squashed down" into the 6-element sequence in EX10251, which in turn can be "squashed down" into the 3-element sequence in EX10252.

CROSSREFS

Compare to BP121

Adjacent-numbered pages:
BP1271 BP1272 BP1273 BP1274 BP1275  *  BP1277 BP1278 BP1279 BP1280 BP1281

KEYWORD

unwordable, notso, arbitrary, sequence

CONCEPT element_grouping (info | search)

AUTHOR

Leo Crabbe

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