LEGO Gear Train Model
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LEGO MINDSTORMS robotics
This example demonstrates the geometric construction and motion relationship of a LEGO gear train. Key math concepts include gear ratios, circles, cylinders, integers, Pythagorean theorem, and arithmetic mean. Construction highlights involve commands like SelectedElement to manipulate objects such as gear_1, a_1, α_1, and auxiliary objects like B_1, C_1, B_2, C_2, with ratio calculations and text display. Suitable for middle school and above learning mechanical principles, geometric transformations, and mathematical modeling.
GeoGebra Commands & Parameters
SelectedElement(gear_1) → a_1SelectedElement(gear_2) → a_2
AI Drawing Prompt Reference
Create a 3D LEGO-style gear train model with two interlocking gears, each composed of cylindrical teeth. The gears have different radii to illustrate gear ratio, with their radius values labeled. Include auxiliary circles and connecting lines to show the center distance equals the sum of radii. Keep the background clean, emphasizing geometric construction and mechanical transmission for educational demonstration.
The prompt above was compiled from the original drawing commands and is for reference only.