Each week, Mansion Global tackles a topic with an elite group of designers from around the world who work on luxury properties. This week we look at how to use geometric shapes in your home’s decor.

Brain activity is structured in space and time. The resulting activity patterns are conventionally thought to depend on an intricate web of anatomical connections that link specialized populations of ...

How few corners can a shape have and still tile the plane?” mathematician Gábor Domokos asked me over pizza. His deceptively simple question was about the geometry of tilings, also called ...

A cross section of a chambered nautilus shell shows the newly defined shape, the "soft cell," repeating outward in a spiral. FlamingPumpkin via Getty Images When humans cover a space using tiles of ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

When you purchase an independently reviewed book through our site, we earn an affiliate commission. “Girls can’t do Euclid: can they, sir?” “The Mill on the Floss” contains one of George Eliot’s ...

In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...