Tag-systems for the Hilbert Curve
نویسنده
چکیده
Hilbert words correspond to finite approximations of the Hilbert space filling curve. The Hilbert infinite word H is obtained as the limit of these words. It gives a description of the Hilbert (infinite) curve. We give a uniform tag-system to generate automatically H and, by showing that it is almost cube-free, we prove that it cannot be obtained by simply iterating a morphism.
منابع مشابه
Tag - systems for the Hilbert curve 1
Hilbert words correspond to finite approximations of the Hilbert space filling curve. The Hilbert infinite word H is obtained as the limit of these words. It gives a description of the Hilbert (infinite) curve. We give a uniform tag-system to generate automatically H and, by showing that it is almost cube-free, we prove that it cannot be obtained by simply iterating a morphism.
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عنوان ژورنال:
- Discrete Mathematics & Theoretical Computer Science
دوره 9 شماره
صفحات -
تاریخ انتشار 2007