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The Golden Section science exhibit
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The Golden Section

Mathematics · Interactive

  • DimensionsSubject to on-site plan
  • PresentationInteractive
  • PricingQuoted by manufacture spec

The Golden Section is a hands-on, mechanical & electromechanical interactive exhibit manufactured by Hefei Panda for science centers, children’s museums, discovery centers, STEM learning centers and family entertainment centers. Engineered for durable, robust, low-maintenance, high-traffic gallery installation, it turns abstract scientific concepts into direct, interactive visitor exploration. Hefei Panda is a global exhibit manufacturer exporting hands-on science displays to 50+ countries, with in-house engineering, fabrication, installation and commissioning.

Exhibit Summary

The Golden Section is a Interactive interactive exhibit in the Mathematics category, designed for science centers, children’s museums, discovery centers, STEM learning centers and family entertainment centers. Built as a hands-on, mechanical & electromechanical display, it turns an abstract scientific concept into direct, interactive visitor exploration, and is engineered for durable, low-maintenance, high-traffic gallery use.

Scientific Principle

The exhibition item borrows the human body proportion diagram of ancient Roman engineers to vividly interpret the golden ratio discovered by Pylagrass. Through the application and display expansion of the golden ratio, it reveals the profound impact this discovery has had on various fields such as architecture and design in later generations.

Operation

The polymath Leonardo da Vinci worked hard to draw a perfectly proportioned human sketch "Vitruvian Man" (picture below) around 1485 based on Vitruvius's description in "Ten Books on Architecture" about 1,500 years ago. He embedded the human body into a rectangle and a circle at the same time, perfectly demonstrating the proportions of the human body, which contains the most magical mathematical ratio - the Golden Section. Just take a right triangle, its two right-angled sides are 1 and 1/2 respectively, then the hypotenuse is square root 5 divided by 2, and then subtract 1/2 of the right-angled side length to get AD. Then take AE=AD on AC, then the line segment AC divided by point E is the center-to-outer ratio (golden ratio), which is 0.618. Application of the golden ratio: The famous ancient Greek statues of Venus de Milo and Apollo, the sun god, were designed with their legs extended, so that the ratio to their height is 0.618; photography taken using the golden ratio is more in line with the physiological structure of the human eye, making it easier for people to discover its beauty; the golden ratio was used in Leonardo da Vinci's works "Vitruvian Man", "Mona Lisa" and "The Last Supper". The golden section concept is also followed in ancient buildings such as the Parthenon in Athens and the pyramids in Egypt. One of the optimization methods popularized by the famous mathematician Mr. Hua Luogeng in his later years is the golden section 0.618 method. The golden section in nature: The golden section exists a lot in nature, in the proportions of the human body, the structure of animals, and the shapes of plants. For example, the length-to-width ratio of maple leaves, the ratio of body length to wing width of butterflies, the expansion ratio of nautilus, etc. The structure of crystals is also often related to the Fibonacci sequence. Fibonacci Sequence: Italian mathematician Leonardo Pisano, better known as Fibonacci (Leonardo Pisano, known as Fibonacci, 1170-1250), discovered the famous Fibonacci sequence defined by recursion, in which each term is equal to the sum of the previous two terms. The quotient obtained by dividing adjacent two terms of this magical sequence will approach 0.618 as the number of terms increases. Therefore, the Fibonacci sequence is called the golden section sequence. Expand according to Fibonacci numbers on the plane, and the resulting rectangle is called a golden rectangle. Walking along the diagonal corners of the golden rectangle, we get a beautiful spiral, which is also called a logarithmic spiral (also called an equiangular spiral). Pythagoras discovered the golden section and expressed it mathematically. Divide a line segment into two parts, so that the ratio of the larger part to the full length is equal to the ratio of the smaller part to the larger part, then this ratio is the golden section, and its ratio is approximately 0.618. In the 1st century BC, Marcus Vitruvius Pollio, the royal architectural engineer of ancient Rome, first proposed applying the natural proportions of the human body to the measurement of buildings, and summarized the proportional laws of the human body structure. The displays use the concept of the golden section as a reference to the layout of the human body to show the application of the golden section.

Export-Ready Features

  • Durable, robust construction for high-traffic gallery environments
  • Low-maintenance electromechanical design with reliable, safe components
  • Custom sizing, theming & multilingual labeling available
  • OEM & turnkey exhibit solutions with full project management
  • Overseas shipping, export documentation & on-site installation supported
  • Shipped to science centers and museums in 50+ countries
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