girolle Mathematical Example
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In collections
surface 3D
This example demonstrates the girolle surface and its related geometric properties. It involves core mathematical concepts such as surface, linear equations, variance, straight lines, isosceles triangles, and conditional probability. The construction uses commands like Surface and objects cg, af, r, R, h, a, n, g, ea, eb, f, e. Suitable for high school students and researchers exploring the intersection of multidimensional geometry and probability statistics.
GeoGebra Commands & Parameters
Surface((((r + g(v)) * cos(u)) * (1 - v)) + ((v * (R + g(v))) * cos(u)), (((r + g(v)) * sin(u)) * (1 - v)) + ((v * (R + g(v))) * sin(u)), (v * ((a * sin((n * u))) + h)) + f(v), u, 0, (2 * π), v, 0, 1) → e