3D Parametric Heart Surface
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This example demonstrates a 3D heart surface using parametric equations. It shows how to construct a 3D geometric shape using the Surface command in GeoGebra. Suitable for high school and above students to learn about solid geometry and parametric equations.
GeoGebra Commands & Parameters
Surface((((((4 * cos(v)) * sin(abs(u))^(abs(u))) * cos(u)) * cos(v)) * 1.6), ((((4 * cos(v)) * sin(abs(u))^(abs(u))) * sin(u)) * cos(v)), (2 * sin(v)), u, -3.141592653589793, 3.141592653589793, v, -1.5707963267948966, 1.5707963267948966) → a
AI Drawing Prompt Reference
Draw a 3D heart-shaped surface. The surface is defined by parametric equations, consisting of a rotating ring and a variable radius. Construct it by first drawing the ring, then adjusting the radius based on parameters to form the heart shape. Ensure the surface is symmetric and smooth in three-dimensional space.
The prompt above was compiled from the original drawing commands and is for reference only.