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Description:
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Crystals are natural phenomena that exhibit high degrees of order , symmetry , and
recursion . They naturally form interesting and inspiring geometric shapes .
This thesis provides geometric modeling techniques for creating shapes with crystallike
geometry . The tiered extrusion method , along with a face grouping technique , simplifies
the creation of complex , intricate faceted shapes . In combination with remeshing ,
these methods provide the capability to generate geometric shapes exhibiting planar faces ,
symmetry , and fractal geometry .
The techniques have also been implemented in software , as a proof of concept . They
are used in an interactive geometric modeling system , in which users can use these techniques
to create crystal -like shapes .
The crystal -like modeling operations are shown to successfully create beautiful geometric
shapes . The methods improve upon traditional modeling capabilities , providing an
easier way to create crystal -like geometric shapes . |