Application of Fractal
Geometry in Architecture
                     Presented By~
                        Deepa Dhar
                 Roll No: 2020apb006
                       IIEST Shibpur
ABSTRACT
   Fractal geometry is a product of fractal theory, a mathematical approach that
    describes the way space is filled by figures or objects. A fractal geometric
    figure is one that can be iteratively subdivided or grown in accordance with a
    series of rules. The overall fractal figure then has parts, which under varying
    levels of magnification tend to look similar – if not identical – to each other,
    and the figure fills more space than its topological boundaries.
   At this point in time, the purpose of this study is to investigate the
    possibilities of the fractal as an alternative tool of analysis and design in
    contemporary architecture. In this study, two major aspects are discussed.
    First, the fractal concepts just like ‘fractal dimension’, ‘box-counting
    dimension’ and ‘fractal rhythm’ can be applied to analysis in architecture.
    Second, the fractal formative principles just like ‘scaling’, ‘superimposition
    trace’, ‘distortion’ and ‘repetition’ can be applied to design in architecture.
KEYWORDS
   Fractal
   Fractal Dimension
   Box-Counting Dimension
   Fractal rhythm
   Self-Similarity
   Non-Linearity
   Randomness
THEORETICAL CONSIDERATION OF
FRACTICAL GEOMETRY
   Chaos and fractal:
    Chaos means confusion and disorder. But it connotes order, and also it has a
    creative ability to self-organize abundant structures dynamically.
    Fractal called geometry of chaos is geometry able to describe and analyse
    structural irregularity of nature system. Fractal appears in phenomena of
    nature system of all scales from molecule to astronomical unit.
THEORETICAL CONSIDERATION OF
FRACTICAL GEOMETRY
   Creation principle of fractal geometry:
    Fractal geometry is developed by means of algorithm differently
    from classical geometry to be developed in numerical formulae.
TYPE OF FRACTAL GEOMETRY
CONCLUSION
This study was conducted for the purpose of reviewing its possibility as
an organization principle of organic design of nature’s patterned order
and similar fractal formative principle in the process of architectural
design.
 In architectural design, self-similarity of fractal discovered order
existing in flow of nature and then showed a possibility of organic
architectural design through its relation with architecture.
 In architectural design, non-linearity of fractal emphasized a new
meaning of architecture as an evolutionary body of time having a vital
force by means of showing a process of mutating structures and
increasing complexity.
 In architectural design, randomness of fractal showed that nonpredictive
creative results can be obtained by sudden emergence and instability
brought by repeated non-linear feedback.