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 ...

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 ...

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 ...

The software then replaces these repeating patterns with smaller pieces of data ... This method compresses graphic, audio and video files, and the slight damage to quality may not very noticeable.

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 ...