Cyclide of Dupin
Loading the math board and drawing, please wait…
In collections
Curves and Surfaces
This example demonstrates the construction of the Cyclide of Dupin, a special type of quadratic surface with unique symmetry and geometric properties. By adjusting parameters a, b, c, the shape of the cyclide can be observed. The Surface command is used to draw the cyclide. Suitable for high school mathematics education and research.
GeoGebra Commands & Parameters
Surface(((c * (b - (c * cos(u)))) + ((a * cos(u)) * (a - (b * cos(v))))) / (a - ((c * cos(u)) * cos(v))), (((sqrt(a^(2) - b^(2)) * (a - (b * cos(v)))) * sin(u))) / (a - ((c * cos(u)) * cos(v))), (((sqrt(a^(2) - b^(2)) * (b - (c * cos(u)))) * sin(v))) / (a - ((c * cos(u)) * cos(v))), u, (-2 * π), (2 * π), v, 0, (2 * π)) → d
AI Drawing Prompt Reference
Draw a special quadratic surface, the Cyclide of Dupin, adjusting parameters a, b, c to observe its shape, showcasing unique symmetry and geometric properties, using the surface command for high school mathematics education and research.
The prompt above was compiled from the original drawing commands and is for reference only.