Meet Bille, the name given to the world's first monostable tetrahedron—a four-faced object that will always land on the same side, no matter its starting position. This feat of geometry and ...

The original version of this story appeared in Quanta Magazine. In 360 BC, Plato envisioned the cosmos as an arrangement of five geometric shapes: flat-sided solids called polyhedra. These immediately ...

A four-sided shape that will always come to rest on the same side no matter what side it starts on has been built by mathematicians, decades after it was first proposed to exist. Mathematicians have ...

“Bille” is the first-ever monostable tetrahedron, or a pyramid-like shape with four triangular faces that has one stable resting position. What this means is that Bille, no matter how you throw it and ...

A team of researchers has successfully built a strange four-faced pyramid named Bille that always lands on the same face—no matter how it’s thrown. This physical object, officially classified as a ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

It was presented by Gergő Almádi, one of its developers. ETH Zurich is thus the first university to possess a “Bille”. “Bille” was developed by Gábor Domokos, Professor of Geometric Modelling at the ...

A long-theorized geometric object has finally taken shape. Named Bille, this monostable tetrahedron could transform the design of spacecraft and robotics. We need to rethink the shape of lunar landers ...

Meet Bille, the name given to the world's first monostable tetrahedron—a four-faced object that will always land on the same side, no matter its starting position. This feat of geometry and ...

A tetrahedron is the simplest Platonic solid. Mathematicians have now made one that’s stable only on one side, confirming a decades-old conjecture. Click to tell Google to prioritize Quanta and see ...