A new twist to fractals

ABSTRACT

Work in the area of Fractal Geometry has generally focused on a specific facet of the discipline at the expense of other interesting features. This approach often generates more questions than answers for the general audience due to the lack of unification across all views. It appears that a common thread to relate all aspects of fractal features is missing. This paper addresses this question and presents some new and fascinating results. In addition, a method for calculating the fractal dimension of asymmetric fractals is proposed, where a symmetric fractal is a special case of an asymmetric fractal. These asymmetric fractals have variable segment lengths. Fractals designed by introducing variable length segments seem to depict more natural looking phenomena than symmetric fractals designed with uniform length segments.

REFERENCES

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INDEX TERMS

Primary Classification:
  I. Computing Methodologies
  I.3 COMPUTER GRAPHICS
      I.3.5 Computational Geometry and Object Modeling
          Subjects: Geometric algorithms, languages, and systems

Additional Classification:
  F. Theory of Computation
  F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
      F.2.2 Nonnumerical Algorithms and Problems
          Subjects: Geometrical problems and computations

  I. Computing Methodologies
  I.3 COMPUTER GRAPHICS
      I.3.5 Computational Geometry and Object Modeling
          Subjects: Curve, surface, solid, and object representations
  I.4 IMAGE PROCESSING AND COMPUTER VISION

  K. Computing Milieux
  K.2 HISTORY OF COMPUTING
      Subjects: Theory

General Terms:
Algorithms, Theory