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Search: BP965
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BP965 If you place the image on top of itself so that it lines up with itself exactly within a small region, it also lines up everywhere else vs. not so.
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COMMENTS

Rotations are allowed. To avoid confusion about whether reflections are allowed, no examples are included on the right that require reflections to match up with themselves locally but not globally; no examples are included on the left that can match up with themselves locally but not globally using a reflection.


Only parts of ellipses are used, and only one type of ellipse per image, to make everything easier to read and reason about.

CROSSREFS

See BP1246 for a variation on this idea where instead of lining the image up with itself along arbitrarily small regions, you line the image up with itself along individual separate objects.

Adjacent-numbered pages:
BP960 BP961 BP962 BP963 BP964  *  BP966 BP967 BP968 BP969 BP970

KEYWORD

hard, precise, distractingworld, perfect

CONCEPT local_global (info | search)

AUTHOR

Aaron David Fairbanks

BP1246 Any symmetry exhibited by some non-empty subset of the objects is also a symmetry of the whole thing vs. not so.
(edit; present; nest [left/right]; search; history)
COMMENTS

In other words, placing the image over itself (rotation and flipping allowed) so that any parts match up makes the whole image match up to itself vs. not so.

CROSSREFS

See BP965 for a variation on this idea where the "parts" are allowed to be arbitrary regions of the image instead of individual objects shown in the image.

Adjacent-numbered pages:
BP1241 BP1242 BP1243 BP1244 BP1245  *  BP1247 BP1248 BP1249 BP1250 BP1251

KEYWORD

precise, allsorted, unwordable, notso, traditional

CONCEPT local_global (info | search),
self-reference (info | search),
symmetry (info | search)

AUTHOR

Aaron David Fairbanks

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