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A new pyramid-like shape always lands the same side up

10 months ago
  • #Mathematics
  • #Geometry
  • #Polyhedra
  • Plato envisioned the cosmos as five geometric shapes, including the tetrahedron, which still holds mysteries today.
  • John Conway and Richard Guy explored whether a uniform monostable tetrahedron could exist, concluding it wasn't possible with even weight distribution.
  • Gábor Domokos and team proved a tetrahedron with uneven weight distribution can be monostable, leading to the creation of a physical model.
  • The physical model required extreme precision, using lightweight carbon fiber and dense tungsten carbide to achieve the desired monostable property.
  • The research has potential applications in designing self-righting spacecraft and highlights the importance of experimentation in mathematics.