Sierpinski Triangle
★Exhibit Content: Fractal geometry, self-similar figures, nonlinear mathematics static observation science experience ★Interaction: Static 3D model observation and thinking interaction ★Operation: Observe the 3D three-color Sierpinski triangle metal model in layers up close, compare the overall large triangle with the small triangle structures split from within, observe the self-similar characteristics of infinite subdivision and consistent local and overall forms, and understand the basic laws of fractal geometry. ★Exhibit Description: "Sierpinski Triangle" is a circular tabletop science exhibit on fractal geometry, belonging to the advanced mathematics geometry exhibition area, and is a core exhibit in the mathematics frontier section of the science museum. The exhibit uses a white and blue ring-shaped circular floor-standing platform, with a multi-layer graded 3D metal Sierpinski triangle model fixed in the center of the artificial stone countertop, distinguished by multiple colors of blue, yellow, white, and red to indicate different iteration levels, and the countertop is paired with a transparent acrylic UV-printed science description board. The model intuitively presents the classic fractal figure proposed by Polish mathematician Sierpinski in 1915, materializing the abstract self-similarity and non-integer dimensional space-filling theory, and demonstrating the unique geometric characteristics of fractals continuously self-replicating at ever-finer scales. ★Scientific Principle: 1. Construction rules of the Sierpinski triangle: Take an equilateral triangle, mark the midpoints of its three sides, divide it into four congruent smaller triangles, and remove the central triangle; repeat this operation infinitely on the remaining three smaller triangles to form a fractal figure with strict self-similarity. 2. Core definition of fractals: After any local part of the figure is magnified, its form is highly similar to the whole, possessing a non-integer dimension and efficiently filling space; fractal theory is a branch of nonlinear science and is widely used in meteorology, biology, fluid dynamics, art, chaotic mechanics, and other fields. Mandelbrot established the complete fractal discipline system. The multi-layer 3D structure of the exhibit intuitively displays the iterative subdivision effect, clearly reflecting the core characteristic of self-similarity where the part is identical to the whole.
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- Φ1.2×2.2m Φ1.2×2.2mDimensions (diameter × height): Φ1.2×2.2m Brand: KexMall Model: PopsciCat-math-130 1. Materials ① Circular platform: frame 2mm cold-rolled steel plate, enclosure 2.0mm cold-rolled steel plate with color-baked paint, rounded corners for anti-collision treatment; countertop: Kelaisi artificial stone, thickness ≥12mm, lower flame-retardant and moisture-proof bottom plate ② Triangle fractal model: Q235 steel plate welded assembly, plate thickness ≥1.5mm, layered color-baked paint, multi-layer graded 3D hollow structure ③ Fixed support: Q235 steel plate welded bracket, thickness ≥1.5mm, anti-rust baked paint treatment ④ Description board: transparent acrylic sheet, UV high-definition printing 2. Main Configuration None 3. Installation Requirements ① Energy requirement: No external power supply needed, pure static observation exhibit, no electrical energy consumption ② Installation foundation: Circular platform placed on the floor, fixed to the ground with expansion screws at the bottom to prevent tipping; keep away from hard objects that may hit the metal model ③ Entry passage: Door frame size (width × height) ≥1.4m×2.4m, continuous turning interval in passage ≥2.2m ④ Maintenance access: Not required
★Exhibit Content: Fractal geometry, self-similar figures, nonlinear mathematics static observation science experience ★Interaction: Static 3D model observation and thinking interaction ★Operation: Observe the 3D three-color Sierpinski triangle metal model in layers up close, compare the overall large triangle with the small triangle structures split from within, observe the self-similar characteristics of infinite subdivision and consistent local and overall forms, and understand the basic laws of fractal geometry. ★Exhibit Description: "Sierpinski Triangle" is a circular tabletop science exhibit on fractal geometry, belonging to the advanced mathematics geometry exhibition area, and is a core exhibit in the mathematics frontier section of the science museum. The exhibit uses a white and blue ring-shaped circular floor-standing platform, with a multi-layer graded 3D metal Sierpinski triangle model fixed in the center of the artificial stone countertop, distinguished by multiple colors of blue, yellow, white, and red to indicate different iteration levels, and the countertop is paired with a transparent acrylic UV-printed science description board. The model intuitively presents the classic fractal figure proposed by Polish mathematician Sierpinski in 1915, materializing the abstract self-similarity and non-integer dimensional space-filling theory, and demonstrating the unique geometric characteristics of fractals continuously self-replicating at ever-finer scales. ★Scientific Principle: 1. Construction rules of the Sierpinski triangle: Take an equilateral triangle, mark the midpoints of its three sides, divide it into four congruent smaller triangles, and remove the central triangle; repeat this operation infinitely on the remaining three smaller triangles to form a fractal figure with strict self-similarity. 2. Core definition of fractals: After any local part of the figure is magnified, its form is highly similar to the whole, possessing a non-integer dimension and efficiently filling space; fractal theory is a branch of nonlinear science and is widely used in meteorology, biology, fluid dynamics, art, chaotic mechanics, and other fields. Mandelbrot established the complete fractal discipline system. The multi-layer 3D structure of the exhibit intuitively displays the iterative subdivision effect, clearly reflecting the core characteristic of self-similarity where the part is identical to the whole.
Review
Principle Display: ★★★ Interaction Effect: ★★ Ease of Installation: ★★★★★ Durability: ★★★★★ Overall Rating: ★★★★