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What if the world is made of cubes? Uncovering the universal geometry of geology

4 months ago
  • #mathematics
  • #fragmentation
  • #geology
  • Scientists discovered that rocks, when fractured randomly, tend to break into shapes averaging six faces and eight vertices, resembling cubes.
  • The research was inspired by a mathematical proof by Gábor Domokos, suggesting that random fragmentation in three dimensions leads to cube-like averages.
  • The team found that this geometric principle applies across various scales, from microscopic rock fragments to tectonic plates.
  • Exceptions to the cuboid rule, such as hexagonal patterns in mud cracks and basalt columns, were explained by different stress conditions.
  • The findings provide a new mathematical framework for understanding fragmentation in geology, with potential applications in erosion and rock slide prevention.
  • The study also revisited Plato's ancient idea that earth is made of cubes, finding a surprising alignment with modern mathematical predictions.