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The Fibonacci fractal is a new fractal type

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Publication:394877
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DOI10.1007/s11232-012-0121-7zbMath1285.28015OpenAlexW2030455082MaRDI QIDQ394877

V. V. Yudin, E. S. Startzev

Publication date: 28 January 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-012-0121-7


zbMATH Keywords

Cantor fractalCantor generatorFibonacci fractalgenerating tree graphsKoch fractalKoch generator


Mathematics Subject Classification ID

Trees (05C05) Fractals (28A80)


Related Items (2)

Semigroup theory of symmetry ⋮ The toroidal unit cell of a quasicrystal



Cites Work

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  • The Fibonacci-Penrose semigroup formalism and morphogenetic synthesis of quasicrystal mosaics
  • On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
  • Percolation of entropy functionals on Cayley tree graphs as a method of order-disorder character diagnostics of complex structures
  • Entropic measure of the order-disorder character in lattice systems in the representation of coordination Cayley tree graphs


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