Rotating Hyperboloid
★Exhibit Content: Ruled Surface ★Interaction: Mechanical Interaction ★Operation: Turn the handwheel and observe how the shape of the cylinder changes. ★Exhibit Description: "Rotating Hyperboloid" is an interactive exhibit for popularizing geometric principles, designed for mathematics and engineering science exhibition areas, and is a recommended exhibit of PopsciCat Exhibit Store. The exhibit consists of a ring of rubber bands. By turning the handwheel, the audience drives the rubber bands to rotate. The originally straight lines form a regular single-sheet hyperboloid during rotation, intuitively demonstrating the formation process of a "ruled surface", allowing the audience to understand that seemingly smooth surfaces can also be formed by the motion trajectory of straight line elements, and to appreciate the application value of geometry in architecture and engineering. ★Scientific Principle: A hyperbola (single-sheet hyperboloid) can be generated by a rotating straight line, and the line connecting the intersection points on a cross-section is a hyperbola. This exhibit is composed of a ring of straight lines, so after rotation, it can form a regular hyperboloid. Why can straight lines form a surface? These shapes are called ruled surfaces, which are composed of a set of points swept by a moving straight line. Upon careful observation, the overall appearance of a ruled surface looks like a smooth curved surface, but in fact it is constructed with a grid of straight line elements. Hyperboloids and saddle surfaces are classic ruled surface shapes. Due to good stability and beautiful appearance, ruled surfaces are often used in large architectural structures. Cooling towers and the Canton Tower TV tower are both ruled surface shapes.
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- 0.7×0.7×1.1m 0.7×0.7×1.1mDimensions: 0.7×0.7×1.1m Brand: PopsciCat Model: PopsciCat-math-107 1. Materials: ①Base: frame 2mm cold-rolled sheet, surround 2.0mm cold-rolled sheet, surface baked paint ②Tabletop: Kelaisi artificial stone, thickness ≥12mm, with flame-retardant board underneath ③Handwheel: acrylic + stainless steel, smooth operation ④Instruction sign: 5mm acrylic UV printing, clear graphics and text 2. Main Configuration: ①Handwheel 1 set ②Hefei Panda rotation drive mechanism 1 set ③Ruled surface demonstration component 1 set 3. Exhibition Requirements: ①Energy demand: None ②Installation foundation: floor placement, direct placement ③Entry passage: door frame size (width×height) ≥0.9m×1.3m, continuous turning interval ≥1.5m ④Maintenance access: Not required
★Exhibit Content: Ruled Surface ★Interaction: Mechanical Interaction ★Operation: Turn the handwheel and observe how the shape of the cylinder changes. ★Exhibit Description: "Rotating Hyperboloid" is an interactive exhibit for popularizing geometric principles, designed for mathematics and engineering science exhibition areas, and is a recommended exhibit of PopsciCat Exhibit Store. The exhibit consists of a ring of rubber bands. By turning the handwheel, the audience drives the rubber bands to rotate. The originally straight lines form a regular single-sheet hyperboloid during rotation, intuitively demonstrating the formation process of a "ruled surface", allowing the audience to understand that seemingly smooth surfaces can also be formed by the motion trajectory of straight line elements, and to appreciate the application value of geometry in architecture and engineering. ★Scientific Principle: A hyperbola (single-sheet hyperboloid) can be generated by a rotating straight line, and the line connecting the intersection points on a cross-section is a hyperbola. This exhibit is composed of a ring of straight lines, so after rotation, it can form a regular hyperboloid. Why can straight lines form a surface? These shapes are called ruled surfaces, which are composed of a set of points swept by a moving straight line. Upon careful observation, the overall appearance of a ruled surface looks like a smooth curved surface, but in fact it is constructed with a grid of straight line elements. Hyperboloids and saddle surfaces are classic ruled surface shapes. Due to good stability and beautiful appearance, ruled surfaces are often used in large architectural structures. Cooling towers and the Canton Tower TV tower are both ruled surface shapes.
Review
Principle Display: ★★★★ Interaction Effect: ★★★★ Ease of Installation: ★★★★★ Durability: ★★★ Overall Rating: ★★★★