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One-Stroke Drawing

Mathematics

★Exhibit Content: The one-stroke drawing problem and graph theory principles ★Interaction: Model interaction ★Operation: 1. Visitors approach the exhibit and read the operation instructions; 2. Nails are driven into the wooden board in different patterns. By winding the string, try to go around all the nails in one stroke without passing through any nail more than once. ★Exhibit Description: This exhibit consists of four wooden boards, each with a connected figure drawn on it. Nails are driven at the vertices of the figures, and a string is tied to one nail. Visitors are required to connect the string between the nails to trace the figure drawn on the board without repeating any route. Through model interaction, visitors can enjoy a fun experience of one-stroke drawing and think about its underlying principles. It is a recommended exhibit from PopsciCat Exhibit Store. ★Scientific Principle: In traditional geometry, the properties of figures such as shape and size are studied. However, there are some geometric problems whose objects of study are unrelated to the shape of the figure or the lengths of the line segments, but only to the number of line segments and their connections. The one-stroke drawing problem is one such example. The well-known "Seven Bridges of Königsberg" problem led the great mathematician Euler to found a new branch of mathematics—graph theory. This is also known as "one-stroke drawing." The necessary condition for a figure to be drawable in one stroke is that the number of odd vertices is 0 or 2.

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Principle Display: ★★★★ Interaction Effect: ★★★★ Ease of Installation: ★★★★★ Durability: ★★★★ Overall Rating: ★★★★

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