The 13-sided figure is the first that can fill an infinite surface with a pattern that is always original. Repeating patterns have translational symmetry, meaning you can shift one part of the ...

What is unique about this geometrical figure is that it can tile a plane without creating a repeating pattern. The hat can tile a surface without creating transitional symmetry. In other words ...

When presented with an image like this, your eyes might each look at two different points, but because the image is a repeating pattern, the brain is tricked into thinking that the two spots are ...

Here’s how it works. Honeycombs, some bathroom floors and designs by artist M.C. Escher have something in common: they are composed of repeating patterns of the same shape without any overlaps ...

The world around us is full of repeating patterns. From the frequency of music notes to the appearance of a snowflake, they come in many shapes and sizes. But today we're sticking with squares and ...