Nihonkai Mathematical Journal
- Nihonkai Math. J.
- Volume 22, Number 2 (2011), 59-66.
The Subdivision of the Window Derived from Finite Subsequences of Fibonacci Sequences
The Fibonacci sequences can be identified with 1-dimensional quasiperiodic tilings by the canonical projection method. We divide the window of the canonical projection method into smaller intervals by using local configurations. Then, we show that the intervals which appears in the window are divided into the ratio at $1:1/\tau:1$ ad infinitum.
Nihonkai Math. J., Volume 22, Number 2 (2011), 59-66.
First available in Project Euclid: 14 June 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 52C23: Quasicrystals, aperiodic tilings
Secondary: 37E05: Maps of the interval (piecewise continuous, continuous, smooth)
Hayashi, Hiroko; Komatsu, Kazushi. The Subdivision of the Window Derived from Finite Subsequences of Fibonacci Sequences. Nihonkai Math. J. 22 (2011), no. 2, 59--66. https://projecteuclid.org/euclid.nihmj/1339696711