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Normally 2 equidistance lines are needed to designate them as parallel lines.

If we say parallel lines, we mean different lines. However, we can say that the line can be parallel to itself if we move it to another dimension. For example, if the line lives in 2D, we can paralleled move it it in the 3D space, and move it again where it was, or vice versa. The beauty is that this line has a unique position on the plane, but in 3D it has infinitely many positions without breaking the condition, the same direction.

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Q: Can a single line be parallel to itself?
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