Consider what happens when a vertex of one tetrahedron pierces the face of a second tetrahedron to form a new, more complicated polyhedron. In the resulting geometric form, one triangular face has a ...

Flat hexagons and pentagons come together in new twist on old polyhedra In the latest verse of a centuries-old mathematical refrain, scientists have figured a way to iron out the wrinkles in a large ...

The works of the Greek polymath Plato have kept people busy for millennia. Mathematicians have long pondered Platonic solids, a collection of geometric forms that are highly regular and are frequently ...

Mathematics Teaching in the Middle School (MTMS) is an official peer-reviewed journal of the National Council of Teachers of Mathematics and is intended as a resource for middle school students, ...

Lattice-free sets a n d their applications for cutting-plane methods in mixed-integer optimization have been studied in recent literature. The family of all integral lattice-free polyhedra that are ...

Royal Society Research Fellow and Senior Birmingham Fellow, University of Birmingham The work of the Greek polymath Plato has kept millions of people busy for millennia. A few among them have been ...