Shell Parametric Modeling
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This example demonstrates the geometric shapes of natural shells using parametric curves; involves core math concepts like parametric curves, surfaces, geometric transformations, unit circle; constructed using GeoGebra commands/objects such as If, Surface, Vectors, Sliders; suitable for high school students and geometry enthusiasts to understand parametric equations and 3D modeling.
GeoGebra Commands & Parameters
If(n ≟ 0, 0, x - ((2 * pi / n) * round((n / ((2 * pi)) * x)))) → wIf(mitad, (s1 + s2) / 2, s2) → s3Surface(fx(s, t), fy(s, t), fz(s, t), s, s1, s3, t, (t1 * pi), (t2 * pi)) → sup