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Surface of Revolution: y-Axis (3D Glasses Effect)

Surface of Revolution: y-Axis (3D Glasses Effect)
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2020-01-27 20:55
FunctionSolid GeometryCalculusTransformationSlider Animation
This example demonstrates the surface generated by rotating a function around the y-axis, viewable with 3D glasses for a stereoscopic effect. Key math concepts include surface of revolution, function graph, and 3D geometry. Construction involves using GeoGebra's Rotate command for the function f, controlled by slider n for rotation count, with f_1 as the base function and a as the rotation axis parameter. Suitable for high school and above students studying surface generation, calculus, and solid geometry.

GeoGebra Commands & Parameters

  1. Rotate(f, n, yAxis) → f_1
  2. Surface(f, n, yAxis) → a

AI Drawing Prompt Reference

Create a surface generated by rotating a function around the y-axis, controlled by a slider for rotation count to display a stereoscopic effect, suitable for studying surface of revolution, function graphs, and 3D geometry.
The prompt above was compiled from the original drawing commands and is for reference only.