Are there any displays with non-regular pixel grids?
Though AFAIK, displays have regular patterns, there are some less common patterns, such as PenTile RGBG.
You might also find the pattern of pixel colors in sensors of interest, but again, they are not irregular, just in a different pattern.
To avoid color moiré effects, it would be interesting to see if a screen or sensor could be made with non-repeating Penrose tiling. The pixel ratio could be kept constant, yet there would be no large-scale straight-line patterns.
BTW, the Autochrome Lumière color photography process relied on truly random color pixels, with no pattern to the display.