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Pisot number system and its dual tiling
Shigeki Akiyama
133 - 154
NATO Security through Science Series - D: Information and Communication Security
Volume 7: Physics and Theoretical Computer Science
Abstract

Number systems in Pisot number base are discussed in relation to arithmetic construction of quasi-crystal model. One of the most important ideas is to introduce a ‘dual tiling’ of this system. This provides us a geometric way to understand the ‘algebraic structure’ of the above model as well as dynamical understanding of arithmetics algorithms.

$35.00 / €27.50 / £22.00
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