podcastsinenglish Level 2.145 The golden section
Sep 27, 2018
Explore the fascinating golden section, defined by the number 1.618, also known as phi. Discover how to divide a line using this elegant ratio and why it exhibits self-similarity. Learn about its appearances in nature, from tree branches to sunflower seeds. Dive into the world of art as da Vinci's masterpieces, like The Last Supper, elegantly incorporate this mathematical wonder. Finally, connect the golden spiral found in shells and hurricanes, showcasing the beautiful intersection of art and mathematics.
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What The Golden Ratio Is
- The golden section (phi) is a specific ratio of about 1.618 used to divide a line into a larger and smaller part.
- That division keeps the same ratio between whole and larger part as between larger and smaller part, creating a self-similar proportion.
Dividing 12 To Show Phi
- Jackie demonstrates dividing 12 by 1.618 to get 7.42 and then subtracting to get 4.58 as the smaller part.
- She notes the ratio relationship: 7.42 is to 12 as 4.58 is to 7.42, illustrating the concept concretely.
Nature Shapes Visual Appeal
- The golden ratio appears often in nature, making divisions based on it visually appealing to us.
- That frequent natural occurrence leads people to consider it a 'good' or pleasing proportion.