Strange Wheels
★Exhibit Content: Principle of Curves of Constant Width ★Interaction: Mechanical Interaction ★Operation: 1. Push the square wheel to roll on the curved track; since the side length of the square wheel equals the arc length of the track, the square wheel will roll smoothly; 2. Place the board on the triangular wheel, push the board by hand to drive the triangular wheel to roll on the flat track, and observe that the triangular wheel can also move forward smoothly; 3. Learn about the principle of curves of constant width in mathematics. ★Exhibit Description: Through interaction with non-circular wheels, understand the principle of curves of constant width in mathematics. The exhibit consists of tracks and non-circular wheels, etc. It is also a recommended exhibit of the PopsciCat Exhibit Store. One set is a square wheel and a curved track; pushing the square wheel to roll on the curved track shows the square wheel running smoothly because the side length of the square wheel equals the arc length of the track. The other set is a Reuleaux triangle wheel and a flat track; placing a board on the triangular wheel and pushing the board by hand drives the triangular wheel to roll on the flat track, and the triangular wheel can also move forward smoothly, demonstrating the principle of curves of constant width in mathematics. A curve of constant width is defined as a shape that, when clamped between two parallel lines, has the same distance between the lines in any direction. Therefore, the Reuleaux triangle wheel is a curve of constant width; although it is not circular, it can still roll smoothly between the board and the flat track. ★Scientific Principle Curves of Constant Width: Circles and Reuleaux triangles have the characteristic that no matter from which direction two parallel lines are used to clamp them, the distance between the two parallel lines is always the same. We call a shape with this property a "curve of constant width" (or constant-width shape). The original definition of a curve of constant width places a curved shape between two parallel lines so that it is tangent to both lines; no matter how the curve moves, as long as it remains between the two parallel lines, it always remains tangent to both lines. The distance between these two parallel lines is called the width of the curve of constant width. Reuleaux Triangle: A special triangle formed by taking the vertices of an equilateral triangle as centers and its side length as radius to draw arcs; the curved triangle composed of these three arcs is called a Reuleaux triangle. The characteristic of the Reuleaux triangle is that it has the same width in any direction, meaning it can rotate freely between two parallel lines whose distance equals its arc radius a (equal to the side length of the equilateral triangle) while always maintaining contact with both lines.
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- 1.2×0.7×1.0 1.2×0.7×1.0Dimensions (unit: m): 1.2×0.7×1.0 Brand: PopsciCat Model: PopsciCat-math-086 1. Materials ① Base: square tube frame 25×25, sheet metal with baked paint (thickness ≥2mm) ② Tabletop: Kelesi artificial stone, thickness ≥12mm, with flame-retardant board underneath, anti-slip and wear-resistant ③ Track device: Wuhan Jiajian Chengchu custom curved track (for square wheel), flat track (for Reuleaux triangle wheel) ④ Special-shaped wheel interactive device: Wuhan Jiajian Chengchu custom square wheel, Reuleaux triangle wheel, and support board ⑤ Accessories: custom fasteners, guide rails, operating handles, etc. 2. Main Configuration ① Interactive mechanism: manual push-pull transmission device, supporting smooth rolling demonstration of two special-shaped wheels ② Safety components: anti-pinch design, limit device, rounded corners 3. Exhibition Requirements ① Energy requirement: None ② Installation base: place directly, requires flat ground ③ Entry passage: door frame size (width×height) ≥2.0m×2.0m, continuous turning interval in passage ≥2m ④ Maintenance access: Not required
★Exhibit Content: Principle of Curves of Constant Width ★Interaction: Mechanical Interaction ★Operation: 1. Push the square wheel to roll on the curved track; since the side length of the square wheel equals the arc length of the track, the square wheel will roll smoothly; 2. Place the board on the triangular wheel, push the board by hand to drive the triangular wheel to roll on the flat track, and observe that the triangular wheel can also move forward smoothly; 3. Learn about the principle of curves of constant width in mathematics. ★Exhibit Description: Through interaction with non-circular wheels, understand the principle of curves of constant width in mathematics. The exhibit consists of tracks and non-circular wheels, etc. It is also a recommended exhibit of the PopsciCat Exhibit Store. One set is a square wheel and a curved track; pushing the square wheel to roll on the curved track shows the square wheel running smoothly because the side length of the square wheel equals the arc length of the track. The other set is a Reuleaux triangle wheel and a flat track; placing a board on the triangular wheel and pushing the board by hand drives the triangular wheel to roll on the flat track, and the triangular wheel can also move forward smoothly, demonstrating the principle of curves of constant width in mathematics. A curve of constant width is defined as a shape that, when clamped between two parallel lines, has the same distance between the lines in any direction. Therefore, the Reuleaux triangle wheel is a curve of constant width; although it is not circular, it can still roll smoothly between the board and the flat track. ★Scientific Principle Curves of Constant Width: Circles and Reuleaux triangles have the characteristic that no matter from which direction two parallel lines are used to clamp them, the distance between the two parallel lines is always the same. We call a shape with this property a "curve of constant width" (or constant-width shape). The original definition of a curve of constant width places a curved shape between two parallel lines so that it is tangent to both lines; no matter how the curve moves, as long as it remains between the two parallel lines, it always remains tangent to both lines. The distance between these two parallel lines is called the width of the curve of constant width. Reuleaux Triangle: A special triangle formed by taking the vertices of an equilateral triangle as centers and its side length as radius to draw arcs; the curved triangle composed of these three arcs is called a Reuleaux triangle. The characteristic of the Reuleaux triangle is that it has the same width in any direction, meaning it can rotate freely between two parallel lines whose distance equals its arc radius a (equal to the side length of the equilateral triangle) while always maintaining contact with both lines.
Review
Principle Display: ★★★ Interaction Effect: ★★★★ Ease of Installation: ★★★★★ Durability: ★★★ Overall Rating: ★★★