Simple Fractal Tilings

Method 1

The starting shape is a collection of line segments that will replace a horizontal segment.
Basic construction: modify the sides of a square with appropriately rotated copies of the starting shape.
Some placements do not tile, some others tile but with non-fractal tiles.
Careful placements produce shapes whose rescaled limits tile and have fractal perimeters.
Finally we note some effects of non-zero pixel size that should be ignored.

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