Nautilus Shell
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In collections
Curves and Surfaces
This example demonstrates the generation of a nautilus shell. Key mathematical concepts include exponential functions and right triangles. The Surface command is used to construct the nautilus shell, involving objects R, a, b, c, h, k, w, d. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
Surface(((ℯ^((w * u)) * (h + (a * cos(v)))) * cos((c * u))), (((R * ℯ^((w * u))) * (h + (a * cos(v)))) * sin((c * u))), (ℯ^((w * u)) * (k + (b * sin(v)))), u, (-2 * π), (3 * π), v, 0, (2 * π)) → d
AI Drawing Prompt Reference
Draw a nautilus shell shape, generated by exponential functions and right triangle concepts, using a surface command applied to parameters u and v with ranges from -2π to 3π for u and 0 to 2π for v. The surface is defined by three trigonometric expressions involving exponentials, cosines, and sines combined, creating a spiral, ascending nautilus shell form.
The prompt above was compiled from the original drawing commands and is for reference only.