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Decades-Old Conjecture Confirmed: Tetrahedron Stable on One Side

By

robinhouston

11mo ago· 8 min readenNews

Summary

Plato's tetrahedron, the simplest shape in his polyhedral universe, remains a subject of mystery in mathematical study. Recent research has produced a stable tetrahedron that always lands on the same side, confirming a long-standing conjecture.

Key quotes

· 2 pulled
In 360 BCE, Plato envisioned the cosmos as an arrangement of five geometric shapes: flat-sided solids called polyhedra.
One major open problem, for instance, asks how densely you can pack “regular” tetrahedra, which have identical faces.
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A tetrahedron is the simplest Platonic solid. Mathematicians have now made one that’s stable only on one side, confirming a decades-old conjecture.

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