These are examples of geometric tilings ... in walls and floors everywhere. In math, tilings are often appreciated for their regular patterns. But mathematicians also find beauty in irregularity. It’s ...

At MSU, he has been studying under math professor Lukas Geyer. A fractal is a geometric ... way bacteria grow, patterns in freezing water (snowflakes) and brain waves, for example.

grounded in rigorous mathematics, that could predict patterns in realistic scenarios. Notably, Tobasco’s work suggests that wrinkling, in its many guises, can be seen as the solution to a geometric ...

The concept of aperiodic geometry has existed for ... And at the atomic scale, moiré patterns can generate some unusual electrical properties. Example of a moiré effect (University of Utah ...

For example, a growth pattern that would tend to make a tissue curve — meaning that the curved intrinsic geometry would minimize its energy — might be ‘frustrated’ if a leaf is too thick ...