In two dimensions, it’s the Reuleaux triangle: an equilateral triangle with curved arcs connecting each corner, creating a shape with a constant width but a smaller area than a circle. Now, a team of ...

A tetrahedron is the simplest Platonic solid. Mathematicians have now made one that’s stable only on one side, confirming a decades-old conjecture. In 360 BCE, Plato envisioned the cosmos as an ...

They found another shape, related to the first, that meets an even stricter definition. Dubbed the "specter," the new shape tiles a plane in a pattern that never repeats without the use of mirror ...

Let’s sing our shapes together! "Let’s sing our shapes together! Learning Goal: Count the number of sides a shape has to determine what shape it is Vocabulary: Shape, sides, one, two, three, four, ...

After more than three centuries, a geometry problem that originated with a royal bet has been solved. Imagine you’re holding two equal-size dice. Is it possible to bore a tunnel through one die that’s ...

The T-1000 in Terminator 2 could change shape at will, morph its hands into blades or turn parts of its body into a fluid to move through metal bars. “I saw this movie when I was a child—it was like, ...

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 ...