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Coloring Dini's Surface in GeoGebra 5

Coloring Dini's Surface in GeoGebra 5
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2015-01-02 04:10
FunctionSolid GeometryParametric EquationGraphing
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This example demonstrates how to graph and color Dini's surface in GeoGebra 5, a complex 3D parametric surface. Key math concepts include parametric equations, 3D graphing, function visualization, and symmetry. Construction highlights involve commands like Sequence, Join, RemoveUndefined, Textfield, Max, Min, Surface, and Point. Suitable for high school students and math enthusiasts learning parametric surface plotting and visualization.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[(u_{min} + (i * dx), v_{min} + (j * dy)), i, 0, Na], j, 0, Na) → l1a
  2. Join(l1a) → uv
  3. RemoveUndefined(X1) → X1E
  4. RemoveUndefined(Y1) → Y1E
  5. RemoveUndefined(Z1) → Z1E
  6. Textfield(X1) → inputBox1
  7. Textfield(Y1) → inputBox2
  8. Textfield(Z1) → inputBox3
  9. Max(X1E) → x1maxa
  10. Min(X1E) → x1mina
  11. Max(Y1E) → y1maxa
  12. Min(Y1E) → y1mina
  13. Max(Z1E) → z1maxa
  14. Min(Z1E) → z1mina
  15. Textfield(N) → inputBox6
  16. Surface(((5 * cos(u)) * sin(v)), ((r_Y * sin(u)) * sin(v)), (r_Z * (cos(v) + log(tan(v / 2)))) + (a * u), u, u_{min}, u_{max}, v, v_{min}, v_{max}) → h
  17. Textfield(h) → inputBox4
  18. Point(M_{866}) → B
  19. Point(M_{923}) → A