Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...

Researchers uncover the mathematical structure behind mesmerizing tiling patterns, linking their visual appeal to the ...

A new study by mathematicians at Freie Universität Berlin shows that planar tiling, also known as tessellation, is far more than a decorative ...

Researchers uncover geometric principles governing how particles self-assemble, solving a long-standing challenge in ...

Design Squad is available to stream on pbs.org and the free PBS App, available on iPhone, Apple TV, Android TV, Android smartphones, Amazon Fire TV, Amazon Fire Tablet, Roku, Samsung Smart TV, and ...

Recent advancements in thermodynamics have increasingly drawn on the language of differential geometry and systems control to reformulate classical principles. Geometric structures offer a rigorous ...

Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about. In the early 1800s, William Rowan Hamilton discovered a new kind of ...

Big Idea – We can describe, measure, and compare spatial relationships. to build on students' knowledge of triangle and develop students' reasoning with properties of different classes of triangles to ...

Everyone learns the number one rule about triangles in high school: the angles of a triangle add up to 180 degrees. But did you know that sometimes they don't? Triangles are much more interesting than ...