Imperial Porphiry and Golden Leaf: Sierpinski Triangle in a Medieval Roman Cloister

  title={Imperial Porphiry and Golden Leaf: Sierpinski Triangle in a Medieval Roman Cloister},
  author={Paola Brunori and Paola Magrone and Laura Tedeschini Lalli},
  journal={Advances in Intelligent Systems and Computing},
In medieval churches motives are found, similar to what we call today “Sierpinski triangle”: a same composition of full and void areas, interweaved and repeated at smaller and smaller scale. The motive has seen its mathematically rigorous definition in 1915, and has been a “benchmark” for scientists thereafter. Mathematicians imagine and study what would remain upon carrying on indefinitely the procedure of inserting voids: a “powder of points” would be left, organized in a precise way around… 


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Surface chemistry: Self-assembling Sierpiński triangles.
  • S. Tait
  • Materials Science, Chemistry
    Nature chemistry
  • 2015
Three-fold halogen-bonding arrays and precise surface epitaxy preclude structural errors, thus enabling the high-level complexity of these supramolecular fractal patterns.
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One-Dimensional Maps.- Two-Dimensional Maps.- Chaos.- Fractals.- Chaos in Two-Dimensional Maps.- Chaotic Attractors.- Differential Equations.- Periodic Orbits and Limit Sets.- Chaos in Differential