학술논문
Determining parastichy numbers using discrete Fourier transforms.
Document Type
Journal
Author
Negishi, Riichirou (J-SIT) AMS Author Profile; Sekiguchi, Kumiko (J-SIT) AMS Author Profile; Totsuka, Yuichi (J-GLSFC) AMS Author Profile; Uchida, Masaya (J-SIT) AMS Author Profile
Source
Subject
11 Number theory -- 11B Sequences and sets
11B39Fibonacci and Lucas numbers and polynomials and generalizations
65Numerical analysis -- 65T Numerical methods in Fourier analysis
65T50Discrete and fast Fourier transforms
11B39
65
65T50
Language
English
Abstract
Summary: ``We report a practical method to assign parastichy numbers to spiral patterns formed by sunflower seeds and pineapple ramenta using a discrete Fourier transform. We designed various simulation models of sunflower seeds and pineapple ramenta and simulated their point patterns. The parastichy numbers can be directly and accurately assigned using the discrete Fourier transform method to analyze point patterns even when the parastichy numbers contain a divergence angle that results in two or more generalized Fibonacci numbers. The presented method can be applied to extract the structural features of any spiral pattern.''