A New Pyramid-Like Shape Always Lands the Same Side Up
A tetrahedron is the simplest Platonic solid. Mathematicians have now made one that’s stable only on one side, confirming a decades-old conjecture. The post A New Pyramid-Like Shape Always Lands the Same Side Up first appeared on Quanta Magazine
In 360 BCE, Plato envisioned the cosmos as an arrangement of five geometric shapes: flat-sided solids called polyhedra. These immediately became important objects of mathematical study. So it might be surprising that, millennia later, mysteries still surround even the simplest shape in Plato’s polyhedral universe: the tetrahedron, which has just four triangular faces. One major open problem…
