Let's say you want to represent 1cm*1cm 2d space in 1d. There is infinite number of points in both dimensions of this space. While you can completely represent

Let's say you want to represent 1cm*1cm 2d space in 1d. There is infinite number of points in both dimensions of this space. While you can completely represent one of its "slices" with a 1cm segment of 1d space, for a complete model you will need infinite number of 1cm segments stacked, thus requiring infinite 1d space.