Illustrations
Moiré Mosaic
A monochrome hexagonal mosaic.

Colored via the function .
Reference for the moiré phenomenon https://mathematica.stackexchange.com/a/181933/79389.
Source code:
n = 36; indexes =
Select[Flatten[Table[{i, j}, {i, -n, n}, {j, -n, n}], 1],
Apply[-n <= #1 + #2 <= n \[And] -n <= #1 - #2 <= n &]]; coords =
Map[Apply[ReIm[(E^(-I \[Pi]/6) #1 + E^(I \[Pi]/6) #2)/3] &],
indexes]; list =
Map[{#[[1]], #[[2]], CubeRoot[Sin[#[[1]]^2 + #[[2]]^2]]} &,
coords]; ListDensityPlot[list, ColorFunction -> GrayLevel,
AspectRatio -> Automatic, Frame -> False, InterpolationOrder -> 0]