A Surface Display
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This example demonstrates a 3D surface. It involves core concepts of polynomial functions, quadratic functions, and sine functions. Using GeoGebra commands, complex surface graphics can be constructed. Suitable for high school mathematics teaching, especially in solid geometry and function graphing.
GeoGebra Commands & Parameters
b(x, y) = (1 / 40 * (((x - 3)^(2) * (x + 3)^(2)) + ((y - 3)^(2) * (y + 3)^(2))))
AI Drawing Prompt Reference
Create a 3D surface using a function b(x, y) = (1/40 * ((x-3)^2 * (x+3)^2 + (y-3)^2 * (y+3)^2)), which combines polynomial and quadratic functions. Observe how the shape of the surface is influenced by these functions and understand their impact on the surface's form.
The prompt above was compiled from the original drawing commands and is for reference only.