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000

100

010

001

111

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101

011

Every point (b) on the snake has one point that comes before it (a),

and one that comes after it (c).

Points a and c are one length away from b.

No other point on the snake can be just one length away from

point b. If it is, the snake is invalid. That’s the case here.

Point 101 is one length away from point 001.

b

a

c

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Crafty individuals may realize that this snake looks like the last snake, only it is “flipped around” within the cube.