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Toro Sinusoidal Surface

Toro Sinusoidal Surface
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2018-02-03 03:59
FunctionTrigonometrySolid GeometryParametric EquationGraphing
This example demonstrates the generation of a 3D toroidal sinusoidal surface by rotating a sinusoidal curve. Key math concepts include functions, rotation, 3D geometry, and analytical geometry. Construction highlights involve commands like Polygon and Surface, along with objects such as rotasi (rotation) and ejessi (extrusion). Suitable for high school and above students studying 3D surface construction and function visualization.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → c1, a_1, b_1, c_1, d_1
  2. Surface(((a + (b * cos(v))) * cos(u)), ((a + (b * cos(v))) * sin(u)), ((b * sin(v)) * cos((k * u))), u, 0, (2 * π), v, 0, (2 * π)) → torosen1