Fibonacci Sequence Found in Parkfield Earthquake

USA scientists found a 22-year cycle in Parkfield earthquake sequence, and they predicted that the next quake would come in 1988 ± 5 with 95% possibility, while the quake happened in 2004, which is 11 years later than the prediction. Here, we reanalyze the Parkfield earthquake sequence, and find 11-year cycle;multiple 11-year cycle and Fibonacci sequence existed for earthquake. With these methods, the 2004 earthquake can be predicted well. We also predict that the next earthquake may occur in 2031-2032.

基于Python的Fibonacci Sequence求解算法设计实现研究

本文通过对Fibonacci Sequence的研究,采用当下流行的python程序设计语言进行Fibonacci Sequence的多种算法设计实现,并对每一种算法进行对比研究.

Finding the Fibonacci Spiral Patterns in Atmospheric Equatorial Waves

The purpose of this paper is to analyze and visualize the exact invariant solution of the nonlinear simplified version of the shallow water equations which are being used to simulate equatorial atmospheric waves of planetary scales. The method of obtaining the exact solution is based on the Lie group invariance principle. It is shown that the obtained invariant solution has a Fibonacci spiral-like form and has two parameters k and t0. We have defined a new model hypermarameter Δkt = t – t0, where t is time. The question of particular interest is: can we tune the hypermarameter in order to match the exact solution to the actual Fibonacci spiral? It was discovered that the physically relevant part of the solution matches exactly the Fibonacci spiral.

The Most Irrational Number that Shows up Everywhere: The Golden Ratio

Since the time of the ancient Greeks, humans have been aware of this mathematical idea. Golden ratio is an irrational number that is symbolized by the Greek numeral phi (φ). One can find this ratio everywhere. It is in nature, art, architecture, human body, etc. But this symbolism can result in a strong connection with mathematical nature. In this paper we will be discussing the connection between Fibonacci sequence (a series of numbers where every number is equal to the sum of two numbers before it) and Golden ratio. Secondly, how this mathematical idea shows up in a nature, such as sunflower and human DNA.

Transmission properties in Fibonacci quasi-periodic photonic crystal containing negative-zero-positive index metamaterials

The transmission properties in Fibonacci quasi-periodic photonic crystals containing negative-zero-positive index metamaterials(NZPIM)are investigated systematically.Because of linear dispersion,an asymmetric band gap appears near the optical Dirac point(DP)only at an oblique incidence.Zero-n gaps and Bragg gaps exist when the refractive indexes of NZPIM are negative and positive,respectively.We also obtain gaps induced by total reflection on both sides of the DP gap.The corresponding Goos-Hänchen(GH)shifts and phase variations are also demonstrated in detail.It is shown that the characteristics of the band gaps,GH shifts,and phase variations depend crucially on the incident angle,number of periods,and layer thickness.

Standards of Classical Architecture Criticism: Between Mathematics and Philosophy

Criticism is an intellectual process that primarily searches for beauty aspects in the works of art,including architecture.This article explores the mathematical and philosophical principles of classical architectural criticism.It is hypothesized that design criteria during the Classic period were clear and specific.The research presents theories of classical art that focus on the process of beauty interpretation.It also assesses the mathematical evaluation of architectural art and beauty through“The Golden Ratio”and“The Fibonacci Sequence.”Classical philosophy,and its perception of beauty,is discussed as an essential basis in any artistic critical activity.The research asserts that the science of aesthetics is both objective and subjective,which explains the difference in aesthetic evaluation across eras.Objectivity stems from conditions of proportionality that must be met for an architectural art to be aesthetically judged as beautiful.Subjectivity lies in the time and place of the architectural work,whereby tendencies,tastes,and needs related to the human and geographical environment can affect the standards of beauty.This makes the evaluation of beauty in classical architecture a delicate and complex process in which many aspects must be considered to have an objective,fair,and correct judgment.

The Golden Ratio and Loshu-Fibonacci Diagram:Novel Research View on Relationship of Chinese Medicine and Modern Biology

Associating geometric arrangements of 9 Loshu numbers modulo 5, investigating property of golden rectangles and characteristics of Fibonacci sequence modulo 10 as well as the two subsequences of its modular sequence by modulo 5, the Loshu-Fibonacci Diagram is created based on strict logical deduction in this paper, which can disclose inherent relationship among Taiji sign, Loshu and Fibonacci sequence modulo 10 perfectly and unite such key ideas of holism, symmetry, holographic thought and yin-yang balance pursuit from Chinese medicine as a whole. Based on further analysis and reasoning, the authors discover that taking the golden ratio and Loshu-Fibonacci Diagram as a link, there is profound and universal association existing between researches of Chinese medicine and modern biology.

Sunflower petals:Some physical properties and modeling distribution of their number,dimensions,and mass

Sunflower petal is one of the parts of the sunflower which has drawn attention and has several applications these days.These applications justify getting information about physical properties,mechanical properties,drying trends,etc.in order to design new machines and use new methods to harvest or dry the sunflower petals.For three varieties of sunflower,picking force of petals was measured;number of petals of each head was counted;unit mass and 1000-unit mass of fresh petals were measured and length,width,and projected area of fresh petals were calculated based on image processing technique;frequency distributions of these parameters were modeled using statistical distribution models namely Gamma,Generalized Extreme Value(G.E.V),Lognormal,and Weibull.Results of picking force showed that with increasing number of days after appearing the first petal on each head from 5 to 14 and decreasing loading rate from 150 gmin^-1 to 50 g min^-1 values of picking force were decreased for three varieties,but diameter of sunflower head had different effects on picking force for each variety.Length,width,and number of petals of Dorsefid variety ranged from 38.52 to 95.44 mm,3.80 to 9.28mm and 29 to 89,respectively.The corresponding values ranged from 34.19 to 88.18 mm,4.28 to 10.60 mm and 21 to 89,respectively for Shamshiri variety and ranged from 44.47 to 114.63 mm,7.03 to 20.31 mm and 29 to 89 for Sirena variety.Results of frequency distribution modeling indicated that in most cases,G.E.V and Weibull distributions had better performance than other distributions.