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 how it can be derived from geometry. - It often investigates the connection between the Golden Ratio and the Fibonacci sequence, providing insights into how 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 whole segment (a + b) to the longer part (a) is the same as the ratio of the longer part (a) to the shorter 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 how it has been perceived and utilized throughout different cultures and eras. - The book highlights notable figures, such as Euclid, Fibonacci, and various Renaissance artists who contributed to the understanding and application of the Golden Ratio.

B : A significant portion of the book discusses how 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. Photographers often use the Golden Ratio to structure their images, leading to more visually engaging photographs. 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 how 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 authors’ 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 those 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 how 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!