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Parametric Sphere

Parametric Sphere
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2015-11-13 19:22
Coordinate GeometrySolid GeometryParametric Equation
This example demonstrates how parametric equations generate a sphere. Key mathematical concepts include parametric equations and 3D geometry. Using commands like Polygon, Surface, and CurveCartesian, the parametric equation of a sphere is constructed. Suitable for high school and above students or teachers for teaching and learning 3D geometry and parametric equations.

GeoGebra Commands & Parameters

  1. Polygon(B, D, E, C) → poly1, b, d, e_1, c
  2. Surface(((2 * sin(v)) * cos(u)), ((2 * sin(v)) * sin(u)), (2 * cos(v)), u, 0, 6.28319, v, 0, 3.141592653589793) → h
  3. CurveCartesian(((2 * sin(v)) * cos(u)), ((2 * sin(v)) * sin(u)), (2 * cos(v)), v, 0, 3.141592653589793) → f
  4. CurveCartesian(((2 * sin(v)) * cos(u)), ((2 * sin(v)) * sin(u)), (2 * cos(v)), u, 0, 6.28319) → e