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"On the other hand, aperiodic neurophysiology refers to brain signals that are not rhythmic."

While these findings establish a link between aperiodic activity and ECT benefits, the researchers stress the need for further investigation to leverage these insights in clinical applications.

For decades mathematicians have been hunting for tile shapes like these that can form only nonrepeating arrangements, called aperiodic tilings.

The first such “aperiodic tiling” was discovered in the 1960s and comprised 104 different shapes.

Originally, the team discovered that the hat was part of a morphing continuum — an uncountable infinity of shapes, obtained by increasing and decreasing the edges of the hat — that produce aperiodic tilings using reflections.