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  "title": "A Family of Fern-like Ternary Complex Trees",
  "date": "2019-07",
  "event": "Bridges 2019, Linz",
  "author": "Bernat Espigulé",
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      "text": "Bernat Espigulé\nwww.ComplexTrees.com\nMathematical Researcher at Universitat de Barcelona\nA Family of Fern-like Ternary Complex Trees",
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      "text": "Bridges 2013\nWolfram Blog 2014\n“Observant el Laberint Geomètric de la Natura”",
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      "text": "Geometric series\nComplex tree",
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      "text": "nodes\nempty string\nroot\ncomplex-valued alphabet\ntip points\ncomplex tree\nletters\nword",
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      "text": "complex tree\ntipset complex tree",
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      "text": "The tipset is a self-similar set\nFirst-level pieces",
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      "text": "Key idea: “tip-to-tip gluing”",
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      "text": "A Family of Fern-like Ternary Complex Trees",
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      "text": "A Family of Fern-like Ternary Complex Trees",
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      "text": "A Family of Fern-like Ternary Complex Trees",
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      "text": "Thurston’s last paper\nBill Thurston\n(1946 – 2012)\nENTROPY IN DIMENSION ONE\narxiv.org/abs/1402.2008",
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      "text": "Bernat Espigulé\nbernat@espigule.com\nMathematics is a process of staring hard enough at the fog of confusion to eventually break through to improved clarity.\nThurston\n@bernatree .\n#Bridges2019\n#ComplexTrees\nHolomorphic Dynamics Group\nNúria Fagella\nXavier Jarque",
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      "text": "Key idea: “tip-to-tip gluing”",
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      "text": "All the branches of a tree at every stage of its height when put together are equal in thickness to the trunk.\nAll the branches of a water [course] at every stage of its course, if they are of equal rapidity, are equal to the body of the main stream.\n⎯ Leonardo da Vinci 1452-1519",
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