## Nihonkai Mathematical Journal

### The Subdivision of the Window Derived from Finite Subsequences of Fibonacci Sequences

#### Abstract

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.

#### Article information

Source
Nihonkai Math. J., Volume 22, Number 2 (2011), 59-66.

Dates
First available in Project Euclid: 14 June 2012

https://projecteuclid.org/euclid.nihmj/1339696711

Mathematical Reviews number (MathSciNet)
MR2952817

Zentralblatt MATH identifier
1256.37004

Keywords
projection method

#### Citation

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

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