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 ...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.展开更多
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 b...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.展开更多
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 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.展开更多
文摘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.
文摘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.
文摘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.
