Doubling the tesselation of dodecagons, hexagons and squares

Tessellation of dodecagons, hexagons and squares.

Grid for the tessellation.

Today I am looking again at a semiregular tessellation with hexagonal symmetry. But this tessellation is the most complex one. I can get all tessellations of the earlier posts from the grid of this tessellation just by leaving out one or several grid lines. For example using only the green and red lines results in the tessellation of hexagons, squares and triangles. Thus I can smoothly transform one tiling into another one by using different lengths in the dualization method.

From two of these grids I get a new tiling of twelve-fold symmetry:

Tiling of twelvefold symmetry resulting from the tessellation of dodecagons, hexagons and squares.

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