Researchers uncover the mathematical structure behind mesmerizing tiling patterns, linking their visual appeal to the ...
Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...
A new study by mathematicians at Freie Universität Berlin shows that planar tiling, also known as tessellation, is far more than a decorative ...
The pentagon is not a shape you typically see used for tiling. Take a peek at your average bathroom tile pattern and you’ll probably see triangles, quadrilaterals, or hexagons–shapes that, when ...
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The recently discovered “hat” aperiodic monotile admits tilings of the plane, but none that are periodic [SMKGS23]. This polygon settles the question of whether a single shape—a closed topological ...
There is a shape called “the hat” that can completely cover a surface without ever creating a repeating pattern. For decades, mathematicians had wondered whether a single tile existed that could do ...
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