Any symmetry exhibited by some non-empty subset of the objects is also a symmetry of the whole thing vs. not so.

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.

Any symmetry exhibited by some non-empty subset of the objects is also a symmetry of the whole thing.

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

In other words,any symmetry exhibited by some non-empty subset of the objects is also a symmetry of the whole thing.

Placing the image over itself so that any parts match up makes the whole image match up to itself (rotation and flipping allowed) vs. not so.

Placing the image over itself (rotations and flipping allowed) so that any parts match up makes the whole image match up to itself vs. not so.

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.

Placing the image over itself so that any parts match up makes the whole image match up to itself vs. not so.

In other words, symmetries of smaller parts are symmetries of whole vs. not so.

Aaron David Fairbanks