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Fresnel Elastic Surface

Fresnel Elastic Surface
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2018-03-17 19:31
FunctionTrigonometrySolid Geometry
This example demonstrates the Fresnel elastic surface. It involves core mathematical concepts such as trigonometric functions and quadratic equations. Using GeoGebra commands like Polygon and Surface, complex surface graphics can be constructed. Suitable for high school or university mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → c1, a_1, b_1, c_1, d_1
  2. Surface(((c^(2) / a * cos(u)) * cos(v) / (sin(v)^(2) + ((c^(2) * cos(v)^(2)) * (cos(u)^(2) / a^(2) + sin(u)^(2) / b^(2))))), ((c^(2) / b * sin(u)) * cos(v) / (sin(v)^(2) + ((c^(2) * cos(v)^(2)) * (cos(u)^(2) / a^(2) + sin(u)^(2) / b^(2))))), (c * sin(v) / (sin(v)^(2) + ((c^(2) * cos(v)^(2)) * (cos(u)^(2) / a^(2) + sin(u)^(2) / b^(2))))), u, 0, (2 * π), v, 0, (2 * π)) → fresnel

AI Drawing Prompt Reference

Draw a graph of a Fresnel elastic surface, which is composed of trigonometric functions and quadratic equations, presented through a combination of polygons and surfaces, suitable for high school or university mathematics education to demonstrate the construction of complex surface graphics.
The prompt above was compiled from the original drawing commands and is for reference only.