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Surface of Revolution by Mathieu Blossier

Surface of Revolution by Mathieu Blossier
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2015-06-17 22:20
Solid GeometryTransformationGeometric Construction
This example demonstrates the process of generating a surface of revolution. Key mathematical concepts include rotation, mirroring, and surfaces. Using GeoGebra commands such as Circle, Rotate, Mirror, and Surface, a surface of revolution can be constructed. Suitable for high school mathematics education and students learning solid geometry.

GeoGebra Commands & Parameters

  1. Circle(xAxis, B) → c
  2. Rotate(B, dα, xAxis) → B'
  3. Mirror(B, xAxis) → B'_1
  4. CircumcircleArc(B, B'_1, B') → d
  5. Point(d) → C
  6. Surface(u, (f(u) * cos(v)), (f(u) * sin(v)), u, 0, 3, v, 0, α) → a
  7. CurveCartesian(u, (f(u) * cos(α)), (f(u) * sin(α)), u, 0, 3) → b