PPT Slide
So a single snake can have many different binary names. Since these particular lists appear to rotate vertically, they are called “vertical rotations” of each other.
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0111
1111
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0011
0111
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0111
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0001
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1111
1110
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0000
0001
0011
0111
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0001
0011
0111
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0000
0001
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0111
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1110
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0000
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1111
1110
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0001
0011
0111
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Notes:
All eight of these snakes are the same snake.