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 ...
Four mathematicians have cataloged all the tetrahedra with rational angles, resolving a question about basic geometric shapes using techniques from number theory. The tetrahedron is the simplest three ...
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