The inference is that not to tile the plane means not covering a two-dimensional region with copies of the same shape.
It should be noted that tiling the plane means covering a two-dimensional region with copies of the same shape so that there are no gaps or overlaps.
In mathematics, a tiling of the plane is a collection of subsets of the plane, i.e. tiles, which cover the plane without gaps or overlaps.
Therefore, not to tile the plane means not covering a two-dimensional region with copies of the same shape.
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