Nova Fractal - Formula

Formula

The formula for the Nova fractal is a generalization of a Newton fractal:

where is said to be a relaxation constant and . If c = 0, this expression reduces to the Newton fractal formula:

for . Usually, is assigned the value 3, while is an adjustable parameter, and is the location variable, for a "Mandelbrot Nova".

Fractals
Characteristics
  • Fractal dimension (Hausdorff dimension & Topological dimension)
  • Self-similarity
  • Recursion
Iterated function system
  • Koch snowflake
  • Cantor set
  • Sierpinski carpet
  • Sierpinski triangle
  • Space-filling curve
  • Dragon curve
  • T-square
  • Menger sponge
  • Barnsley fern
Strange attractor
  • Multifractal system
L-system
  • Space-filling curve
Escape-time fractals
  • Mandelbrot set
  • Julia set
  • Burning Ship fractal
  • Nova fractal
  • Lyapunov fractal
Random fractals
  • Lévy flight
  • Percolation theory
  • Self-avoiding walk
  • Fractal landscape
  • Brownian motion
  • Brownian tree
  • Diffusion-limited aggregation
People
  • Georg Cantor
  • Felix Hausdorff
  • Gaston Julia
  • Paul Lévy
  • Aleksandr Lyapunov
  • Benoit Mandelbrot
  • Lewis Fry Richardson
  • Wacław Sierpiński
  • Helge von Koch
Other
  • List of fractals by Hausdorff dimension
  • "How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension"

Read more about this topic:  Nova Fractal

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