These illusive patterns crop up in many areas of math, with one example coming from certain calculus integrals that have deceived the intuition of even the best mathematicians. Now in a new study ...

In math, tilings are often appreciated for their regular ... can be thought of as infinitely many translated copies of the two-tile pattern AB. This is one simple example of a tiling of the line that ...

These five visual math concepts offer unique frameworks ... through pure thinking can become obvious when we draw out example patterns. Critical insights for self-improvement: Visualization ...

“What selects this pattern from another ... “The role of the math here was not to prove a conjecture that physicists had already made,” said Robert Kohn, a mathematician at New York ...

The pattern emerges in the spectrum of a random matrix, for example, because the matrix elements all enter into the calculation of that spectrum. But random matrices are merely “toy systems ...

Sir Roger Penrose, a British cosmologist, has explained the mathematics behind non-repeating patterns on a flat surface, called quasicrystal geometry. The most famous example of the pattern is ...