In mathematics the Vicsek fractal, also known as Vicsek snowflake or box fractal, is a fractal arising from a construction similar to that of the Sierpiński...

visiting scientists in various academia. He is the namesake of the Vicsek fractal and the Vicsek model of swarm behavior. He earned M.Sc. from the Lomonosov...

Space-Filling Curves. Springer-Verlag. p. 156. ISBN 0-387-94265-3. Vicsek, Tamás (1992). Fractal growth phenomena. World Scientific. p. 10. ISBN 978-981-02-0668-0...

jump towards the center of the square, the chaos game generates the Vicsek fractal: When the jump is 2/3 and the point can also jump towards the midpoints...

According to Benoit Mandelbrot, "A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension...

John (1992). Fractals:The Patterns of Chaos. London: Thames and Hudson. p. 148. ISBN 978-0-500-27693-8. Vicsek, Tamás (1992). Fractal growth phenomena...

scale factor would be 1/2 and the fractal would simply be a square. A more interesting alternative, the Vicsek fractal, rarely called a quadraflake, is...

ISBN 0-8058-4395-7 pages 173–177 [2] Dynamics of Fractal Surfaces by Fereydoon Family and Tamas Vicsek 1991 ISBN 981-02-0720-4 page 45 [3] Rhonda Roland...

Fractals "Julia set", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Weisstein, Eric W. "Julia Set". MathWorld. Bourke, Paul. "Julia set fractal...

as the Koch curve, Koch star, or Koch island) is a fractal curve and one of the earliest fractals to have been described. It is based on the Koch curve...

commonly occurring fractals are described by the dyadic monoid; additional examples can be found in the article on de Rham curves. Other fractals possessing self-similarity...

An ordinary fractal string Ω {\displaystyle \Omega } is a bounded, open subset of the real number line. Such a subset can be written as an at-most-countable...

island or Minkowski island/[snow]flake: Islands Self-avoiding walk Vicsek fractal Quadratic Koch curve type 2 Quadratic Koch curve type 1 Neither type...

set T-square Takagi or Blancmange curve Triflake[citation needed] Vicsek fractal von Koch curve Weierstrass function Z-order curve von Koch curve with...

investigate some patterns physically. The technique arose out of and is used in fractal analysis. It also has application in related fields such as lacunarity...

Fractals in rock mechanics. CRC Press. p. 73. ISBN 90-5410-133-4. Vicsek, Tamás (1992). Fractal growth phenomena. World Scientific. p. 40. ISBN 981-02-0668-2...

ISBN 0-8058-4395-7 pages 173–177 [2] Dynamics of Fractal Surfaces by Fereydoon Family and Tamas Vicsek 1991 ISBN 981-02-0720-4 page 45 [3] Rhonda Roland...

Ben-Jacob, E., O. Shochet, I. Cohen, A., Tenenbaum, A., Czirok, T., Vicsek, Fractals 3 1859-1862 (1995) ^ "Bacterial Wisdom, Godel's Theorem and Creative...

A Douady rabbit is a fractal derived from the Julia set of the function f c ( z ) = z 2 + c {\textstyle f_{c}(z)=z^{2}+c} , when parameter c {\displaystyle...

surface h ( x , t ) {\displaystyle h(x,t)} can be characterized by the Family–Vicsek scaling relation of the roughness W ( L , t ) ≈ L α f ( t / L z ) , {\displaystyle...

deterministic scale-free network models was proposed by Barabási, Ravasz and Vicsek. It involved the generation of a hierarchical, scale-free network by following...

cited as many as 547 times. The ten most frequently cited are: Family F, Vicsek T, Scaling of the Active Zone in the Eden Process on Percolation Networks...

resemble the whole structure. These fractal patterns include (i) Koch, Peano, Hilbert lines, (ii) Moore, Vicsek loops, and (iii) Greek crosses. Origami-inspired...

Dynamic scaling (sometimes known as Family–Vicsek scaling) is a litmus test that shows whether an evolving system exhibits self-similarity. In general...

at Eötvös Loránd University in Budapest, under the supervision of Tamás Vicsek. Barabási then enrolled in the Physics program at Boston University, where...

Applications To Surface Gravity And Capillary Waves". In Vicsek, T.; Shlesinger, M. (eds.). Fractals in Natural Sciences. World Scientific Publishing Company...