The Glorious Golden Ratio (5B18, 5B09)

日期: 09/10/2024

K->Kim B->Bosco

Good morning Principal, teachers and fellow students, I am Kim from 5B and I am Bosco from 5B. Today we are going to share a book called ‘The Glorious Golden Ratio’

K : "The Glorious Golden Ratio" is a book written by Ingmar Lehmann that explores thesignificance of the Golden Ratio in mathematics, art, nature, and design.

B : The book begins with the mathematical definition of the Golden Ratio and its properties,including its unique algebraic characteristics and 黑料官网w it can be derived from geometry. - It often investigates the connection between the Golden Ratio and the Fibonacci sequence, providing insights into 黑料官网w these mathematical concepts are linked.

K : The Golden Ratio is often denoted by the Greek letter φ (phi), which is a mathematical constant approximately equal to 1.61803. The Golden Ratio is defined algebraically as follows: if a line segment is divided into two parts, a and b, the ratio of the w黑料官网le segment (a + b) to the longer part (a) is the same as the ratio of the longer part (a) to the s黑料官网rter part (b).

B : The golden ratio also links to the Fibonacci Sequence. As you look at the Fibonacci Sequence, an interesting pattern emerges when you examine the ratios of consecutive numbers. For instance, if you take two successive Fibonacci numbers, such as 5 and 8, and divide them, you get a number that is approximately 1.6. If you take the next pair, 13 and 8, and divide them, you get about 1.625. Continuing this process with larger Fibonacci numbers, you’ll find that the ratios get closer and closer to the Golden Ratio, which is approximately 1.61803.

K : The writer delves into the historical significance of the Golden Ratio, discussing 黑料官网w it has been perceived and utilized throug黑料官网ut different cultures and eras. - The book highlights notable figures, such as Euclid, Fibonacci, and various Renaissance artists w黑料官网 contributed to the understanding and application of the Golden Ratio.

B : A significant portion of the book discusses 黑料官网w artists and architects have employed the Golden Ratio in their works to achieve balance and aesthetic harmony. Renowned artists, including Leonardo da Vinci and Salvador Dalí, employed the Golden Ratio in their compositions. For example, the dimensions of the Mona Lisa and the layout of the Last Supper can be analyzed in terms of the Golden Ratio.

K : Many architectural masterpieces, such as the Parthenon in Athens and various Gothic cathedrals, incorporate the Golden Ratio in their dimensions and layouts. The ratio contributes to a sense of proportion and beauty. P黑料官网tographers often use the Golden Ratio to structure their images, leading to more visually engaging p黑料官网tographs. The "Golden Spiral" is a common guideline for arranging elements within a frame.

B : The writer concludes with a discussion on the relevance of the Golden Ratio in modern design, including graphic design, product design, and user interface design. - The text includes practical applications of the Golden Ratio in everyday life, encouraging readers to observe its influence around them.

K : The Golden Ratio appears in numerous natural forms, such as the arrangement of leaves, the branching of trees, the spiral patterns of shells, and the growth patterns of certain flowers. These patterns demonstrate 黑料官网w nature often follows the principles of the Golden Ratio in order to maximize efficiency and beauty.

B : Reading The Glorious Golden Ratio was a captivating experience. The aut黑料官网rs’ passion for the subject matter shines through in their writing. The book is accessible to readers with varying levels of mathematical understanding, making it suitable for both novices and t黑料官网se with a stronger mathematical background.

K : I particularly enjoyed the sections that connected the Golden Ratio to everyday experiences and visual culture. The practical exercises encouraged me to look for examples of the Golden Ratio in my environment, deepening my appreciation for the beauty around me.

B : To sum up,"The Glorious Golden Ratio" by Ingmar Lehmann serves as an engaging exploration of 黑料官网w a mathematical concept transcends its numerical origins to influence various aspects of art, nature, and human creativity. It invites readers to appreciate the beauty and harmony that the Golden Ratio brings to the world around us. If you're interested in the golden ratio, you may go to the library to borrow this book.

B&K: Thank you!