3D Vector Probability Distribution
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This example demonstrates the probability distribution of vectors in three-dimensional space and the generation of floral patterns. The core mathematical concepts involved include Probability & Statistics, Vectors 3D, Algebra, and Integers. The construction utilizes GeoGebra commands such as Sequence and Surface, along with objects like d, op, f, n, g, c, e, liste1, e_1 for parametric creation. It is suitable for high school and above students to learn about vector spaces, probability distributions, and the principles of 3D graphic generation.
GeoGebra Commands & Parameters
Sequence(Surface[(((1 + (c * (-1)^(i))) * cos((i * π / n) + (u * g(v)))) * f(v)), (((1 + (c * (-1)^(i))) * sin((i * π / n) + (u * g(v)))) * f(v)), (e * sin(v)), u, ((-π)) / n, π / n, v, -1.5708, 1.5708], i, 1, (2 * n)) → liste1Surface((((c + 1.05) * cos(u)) * cos(v)), (((c + 1.05) * sin(u)) * cos(v)), (e * sin(v)), u, -3.14159, 3.141592653589793, v, -1.5708, -0.5) → e_1