Reading The Golden Rectangle Content Mathematics Reading Strategy Analyze Author’s Viewpoint What The Golden Rectangle is a very important shape in mathematics The Golden Rectangle appears in nature and music It also is often used in art and architecture The special property of the Golden Rectangle is that the ratio of its length to its width equals approximately 1.618: The Golden Rectangle is considered to be one of the most pleasing and beautiful shapes to look at That is why many artists have used it in their work Leonardo da Vinci and Piet Mondrian are perhaps the most famous for using the golden ratio Length Width Golden Ratio = ≈ 1.6 words used by the author are clues to his viewpoint on the Golden Rectangle? Do you agree? By using one golden rectangle to create another (above), you create the pattern of a spiral, which is found in nature in the Nautilus shell (right) property characteristic of something ratio relationships between two numbers approximately close, but not exact 88 Unit • Chapter Leonardo da Vinci Leonardo da Vinci was a great Italian Renaissance painter He was also a scientist and inventor In his art, da Vinci carefully examined the proportions of the human body He found many occurrences of the golden ratio and golden rectangles Art Masterpiece: Mona Lisa You have probably heard of the Mona Lisa The Mona Lisa is one of the most famous paintings in the world It is a very good example of da Vinci’s use of the golden ratio in art If you draw a rectangle around Mona Lisa’s face, that rectangle will turn out to be “golden.” The dimensions of the painting itself also form a golden rectangle As well, the proportions of Mona Lisa’s body exhibit several golden ratios For example, a golden rectangle can be drawn from her neck to just above the hands Reading Strategy Analyze Author’s Viewpoint Do you think the author admires da Vinci? Support your answer with examples from the text ✓ Reading Check Recall facts What is a special property of the golden rectangle? Identify proposition/ support Identify the idea in paragraph that the author proposes and the support that the author provides Make an inference Renaissance time period beginning in the 1500s in Europe when classical art was popular examined looked at closely occurrences how many times something happens exhibit show Do you think da Vinci used the golden rectangle in other paintings or only in the Mona Lisa? Unit • Chapter 89 10 Piet Mondrian is a modern Dutch artist, who lived 1872 to 1944 Although he painted many landscapes at the beginning of his career, Mondrian later moved to an abstract style in his work 11 Mondrian is famous for using horizontal and vertical black lines as the basis for a lot of his paintings Composition in Red, Yellow, Like da Vinci, Mondrian believed that and Blue Mondrian painted this work in 1942 There are mathematics and art were closely many golden rectangles in connected He used the simplest this painting geometric shapes and primary colors (blue, red, yellow) to express reality, nature and logic from a different point of view 12 Mondrian’s point of view is that any shape can be created with basic geometric shapes His point of view is also that any color can be created with different combinations of red, blue, and yellow The Golden Rectangle is one of the basic shapes that keeps appearing in Mondrian’s art: Reading Strategy Analyze Author’s Viewpoint Do you Piet Mondrian agree with the author about what Mondrian’s shapes and colors express? Explain why or why not 13 14 Create Your Own “Golden” Art • Take a blank piece of paper • Prepare different colored pencils • On a separate sheet of paper, practice drawing golden rectangles of different sizes and colors • Plan out your original design How are you going to arrange the rectangles on paper? Composition in Red, Yellow, and Blue This work was painted in 1926 You can find many golden rectangles here, too • Draw your design Experiment with the different colors and sizes of your golden rectangles (You can also draw some rectangles that aren’t golden See how those rectangles change the effect.) • Frame your work and decorate your wall modern belonging to the period of abstract art from the late 19th century to the mid 20th century abstract not representing anything real horizontal parallel to the ground vertical pointing between the ground and the sky logic a way of reasoning 90 Unit • Chapter ... use of the golden ratio in art If you draw a rectangle around Mona Lisa’s face, that rectangle will turn out to be ? ?golden. ” The dimensions of the painting itself also form a golden rectangle. .. Experiment with the different colors and sizes of your golden rectangles (You can also draw some rectangles that aren’t golden See how those rectangles change the effect.) • Frame your work and... golden rectangle As well, the proportions of Mona Lisa’s body exhibit several golden ratios For example, a golden rectangle can be drawn from her neck to just above the hands Reading Strategy