Light and Fast Renderings of Limit Sets for Fuchsian and Kleinian Groups
Author(s):
Alessandro Rosa
Software Developer
alessandro.a.rosa@gmail.com
Abstract:
After introducing some basic mathematical theory on kleinian groups,
we discuss both technical features and drawbacks of the classic approach
adopted to render the digital representation of diagrams that display
either the action of tessellation and the limit sets related to Kleinian
groups in one complex variable. We will then follow to illustrating the
details of a new approach, based upon numerical base conversion. This
discussion will be supported by pseudo-code, in order to explain the
implementation guidelines. Finally, we will review the benefits of this
algorithm.
Keywords
- algorithms
- dynamical systems
- Kleinian groups
- Limit sets
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