Boldly Breaking the Boundaries

In “M.I.P. Trip”, I looked at fractals like this, in which a square is divided repeatedly into a pattern of smaller squares:
2x2inner

2x2inner_static


3x3innera

3x3innera_static


3x3innerb

3x3innerb_static


As you can see, the sub-squares appear within the bounds of the original square. But what if some of the sub-squares appear beyond the bounds of the original square? Then a new family of fractals is born, the over-fractals:

fractal2x2a

fractal2x2a_static


fractal2x2b

fractal2x2b_static


fractal2x2c

fractal2x2c_static


fractal2x2d

fractal2x2d_static


fractal2x2e

fractal2x2e_static


fractal3x3a

fractal3x3a_static


fractal3x3b

fractal3x3b_static


fractal3x3c

fractal3x3c_static


fractal3x3d


fractal3x3e


fractal3x3f


fractal3x3g


fractal3x3h


fractal3x3i


fractal3x3j


fractal3x3k


fractal3x3l


fractal3x3m


fractal3x3n


fractal4x4a


fractal4x4c


fractal4x4b

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