The ability to make custom patterns is quite helpful but learning how to make patterns that repeat seamlessly in Illustrator makes it even better. Patterns that will show where the edges repeat may ...

Remember the graph paper you used at school, the kind that’s covered with tiny squares? It’s the perfect illustration of what mathematicians call a “periodic tiling of space”, with shapes covering an ...

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Experiments and modeling work offers new insights into the striking patterns of repeating stones seen in frost-prone landscapes. Nature is full of repeating patterns that are part of the beauty of our ...

IT may not be generally known that the Theorem of Pythagoras, Euclid I. 47, is closely connected with the Theory of Repeating Patterns in space of two dimensions. The simplest proof by dissection of ...

The same researchers behind the 13-sided "hat" shape have stumbled upon a version that improves upon the original in a very important way. Reading time 2 minutes In March, a group of mathematicians ...

Nature is full of repeating patterns that are part of the beauty of our world. An international team, including a researcher from the University of Washington, used modern tools to explain repeating ...