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This thesis presents an educational software toolkit implemented in Julia, developed to support the course Algorithms for Scientific Computing at the Technical University of Munich, with a focus on teaching and visualizing space-filling curves on grid structures. It includes both adaptive and non-adaptive variants of the Hilbert curve, implemented via recursive grammars, and drawn using custom turtle graphics. The software supports multiple drawing strategies, symbolic grammars, and integrates tools for partitioning and analyzing traversal order. The code is structured to support reuse and experimentation.

Bachelor's thesis presentation. Tibet is advised by Prof. Dr. Michael Bader.

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