Creatively tiling a bathroom floor isn’t just a stressful task for DIY home renovators. It is also one of the hardest problems in mathematics. For centuries, experts have been studying the special ...

Infinitely many copies of a 13-sided shape can be arranged with no overlaps or gaps in a pattern that never repeats. David Smith, Joseph Samuel Myers, Craig S. Kaplan and Chaim Goodman-Strauss (CC BY ...

A 13-sided shape known as “the hat” has mathematicians tipping their caps. It’s the first true example of an “einstein,” a single shape that forms a special tiling of a plane: Like bathroom floor tile ...

In March, a group of mathematicians identified a thirteen-sided shape called “the hat” that can tile a surface without any patterns repeating. Now the researchers are updating the shape to maintain ...

The Custom Shape Tool in Photoshop has some shapes that can be used to create patterns. these patterns can be used to make decorations for artwork, decorations for mockups of packages and clothing, ...

When inserting shapes into Publisher, you would color them to make them more appealing. Microsoft Publisher has various features that users can use to fill their shapes; users can add pictures, ...