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GeoGebra Easter Basket Preparation Example

GeoGebra Easter Basket Preparation Example
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2020-04-12 15:48
FunctionTrigonometryCoordinate GeometrySolid GeometryGeometric Construction
In collections Eggs
This example demonstrates how to use GeoGebra to create a 3D surface and related geometric shapes for an Easter basket. It involves core math concepts like surfaces, geometric distribution, boxplots, hyperbolas, means, and random experiments. Construction highlights include commands like CurveCartesian, Surface, Rotate, and CircumcircleArc, along with objects such as theta, h, r, etc. Suitable for high school and above mathematics education and geometric construction learning.

GeoGebra Commands & Parameters

  1. CurveCartesian(sin(t), cos(t), ((1 / 2 * cos(t)) * sin(t)), t, 0, (2 * π)) → courbeauh
  2. CurveCartesian(((1.3 * r) * sin(t)), (r * cos(t)), h, t, (-2 * π), (2 * π)) → courbebas
  3. Surface(((1.3 * v) * sin(t)), (v * cos(t)), h, t, (-π), π, v, 0, r) → Fond
  4. Rotate(courbeauh, 45°, zAxis) → courbeauh'
  5. Surface(((1 - u) * x(courbebas(t))) + (u * x(courbeauh'(t))), ((1 - u) * y(courbebas(t))) + (u * y(courbeauh'(t))), ((1 - u) * z(courbebas(t))) + (u * z(courbeauh'(t))), t, (-π), ang, u, 0, 1) → Tour
  6. CircumcircleArc(B, C, A) → d
  7. Surface(x(F) + ((R * cos(i)) * cos(j)), y(F) + ((R * cos(i)) * sin(j)), z(F) + ((R + 0.0451) * sin(i)), i, 0, (2 * π), j, 0, (2 * π)) → a
  8. Surface(x(I) + ((R * cos(i)) * cos(j)), y(I) + ((R + 0.0451) * sin(i)), z(I) + ((R * cos(i)) * sin(j)), i, 0, (2 * π), j, 0, (2 * π)) → b
  9. Surface(x(H) + ((R + 0.0451) * sin(i)), y(H) + ((R * cos(i)) * cos(j)), z(H) + ((R * cos(i)) * sin(j)), i, 0, (2 * π), j, 0, (2 * π)) → c
  10. Surface(x(G) + ((R * cos(i)) * cos(j)), y(G) + ((R + 0.0451) * sin(i)), z(G) + ((R * cos(i)) * sin(j)), i, 0, (2 * π), j, 0, (2 * π)) → e