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3D Rotational Activity: Face and Vase Combination

3D Rotational Activity: Face and Vase Combination
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2019-04-08 08:30
VectorSolid GeometryGeometric Construction
This example uses 3D rotation to combine a user's face with a 3D printable vase, demonstrating rotation transformations in solid geometry. Key mathematical concepts include rotation, vectors, and 3D geometric construction. Commands used include Spline, CurveCartesian, Surface, etc. Suitable for high school and above students or enthusiasts for geometric drawing and 3D geometry understanding.

GeoGebra Commands & Parameters

  1. Spline({A, B, B_1, B_2, B_3, C, C_1, C_2, C_3, D, D_1, D_2, D_3, E, E_1, E_2, E_3, F, F_1, F_2, F_3, G, H, I, J, J_1, J_2, J_3, K, L, M, N, O, P, Q, R, S, T, U}, 3) → a
  2. CurveCartesian(a(t / d), t, 0, d) → c
  3. Surface(c, (2 * π), yAxis) → b
  4. OrthogonalPlane(U, yAxis) → e
  5. OrthogonalLine(U, yAxis) → f