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Ice Cream

Ice Cream
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2017-06-02 21:52
VectorSolid GeometryGeometric ConstructionGraphing
This example demonstrates the interaction between surfaces and spheres in three-dimensional space. It involves core mathematical concepts such as real numbers, rational numbers, 3D vectors, diagrams, and logarithms. The construction uses commands like Surface and Sphere in GeoGebra. Suitable for high school and above students learning solid geometry and 3D graphics.

GeoGebra Commands & Parameters

  1. Surface((((c - (a * sin(t))) * cos(t)) * cos(v)), (((c - (a * sin(t))) * cos(t)) * sin(v)), ((c - (b * sin(t))) * sin(t)), t, 0, (2 * π), v, 0, π) → s
  2. Sphere((0, 0, 0), r) → j
  3. Surface(((ℯ^(((-v)) / e) * (d + sin(u)^(ps))) * cos(v)), ((ℯ^(((-v)) / e) * (d + sin(u)^(ps))) * sin(v)), (ℯ^(((-v)) / e) * cos(u)) + (h * sqrt(v)), u, 0, π, v, 0, (n * π)) → f
  4. Surface(((ℯ^(((-v)) / e) * (d + sin(u)^(ps))) * cos(v + (2 * π / 3))), ((ℯ^(((-v)) / e) * (d + sin(u)^(ps))) * sin(v + (2 * π / 3))), (ℯ^(((-v)) / e) * cos(u)) + (h * sqrt(v)), u, 0, π, v, 0, (n * π)) → g
  5. Surface(((ℯ^(((-v)) / e) * (d + sin(u)^(ps))) * cos(v + (4 * π / 3))), ((ℯ^(((-v)) / e) * (d + sin(u)^(ps))) * sin(v + (4 * π / 3))), (ℯ^(((-v)) / e) * cos(u)) + (h * sqrt(v)), u, 0, π, v, 0, (n * π)) → i