Why can adjacent areas of liquid crystal reduce an LCD's maximum resolution?

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liquid crystal Figure 1: Arrangements of molecules.

In liquid crystal displays (LCDs), the liquid nature of the material means that adjacent areas cannot be completely isolated from one another. Because the molecules can flow past one another, it is difficult to maintain a perfectly sharp boundary between the optical states of neighboring pixels. This lack of complete isolation between adjacent regions limits the precision with which individual pixels can be controlled, thereby reducing the maximum achievable resolution of the display.1