Fractal dimension
The role of Fractal Geometry as an extension of Classical Geometry has become increasingly important, making it now possible to define shapes of clouds, coastlines and profiles in the horizon. This thesis discusses how two-dimensional fractals are obtained through the use of similarities. Affine tra...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
1995
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/16254 |
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| Institution: | De La Salle University |
| Language: | English |
| Summary: | The role of Fractal Geometry as an extension of Classical Geometry has become increasingly important, making it now possible to define shapes of clouds, coastlines and profiles in the horizon. This thesis discusses how two-dimensional fractals are obtained through the use of similarities. Affine transformations and isometries are also discussed. The concept of Fractal Dimension is introduced. This thesis shows how fractal dimension can be approximated or computed using the Box Counting Theorem. Finally, an upper bound for the fractal dimension of fractals in the plane is given. |
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