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Bibendum Geometric Model

Bibendum Geometric Model
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2018-02-21 01:11
TriangleCirclePolygonGeometric Construction
This example demonstrates a geometric model named Bibendum, involving concepts such as circles, triangles, and polygons. Using GeoGebra commands like Sphere, Mirror, and Surface, a complex geometric figure is constructed. Suitable for high school and above students or teachers for teaching geometric construction and transformations.

GeoGebra Commands & Parameters

  1. Sphere(E, 0.8) → epauleG
  2. Mirror(epauleG, Plane[xAxis, zAxis]) → epauleD
  3. Sphere(C, 0.9) → cuisseG
  4. Mirror(cuisseG, Plane[xAxis, zAxis]) → cuisseD
  5. Sphere(Mo, 0.6) → molletG
  6. Mirror(molletG, Plane[xAxis, zAxis]) → molletD
  7. Sphere(A, 1.2) → abdomen
  8. Sphere(P, 1.5) → poitrine
  9. Sphere(B, 0.6) → brasG
  10. Mirror(brasG, Plane[xAxis, zAxis]) → brasD
  11. Sphere(Ma, 0.4) → mainG
  12. Mirror(mainG, Plane[xAxis, zAxis]) → mainD
  13. Sphere(C + (0.8; 0°; -70°), 0.3) → genouG
  14. Mirror(genouG, Plane[xAxis, zAxis]) → genouD
  15. Sphere(P + (0.9; 180°; 60° + ((5 * p))°), 1) → dos
  16. Sphere(T, 0.9) → tete
  17. Surface(x(T) + ((0.85 * cos(25°)) * cos(((20 * p) - 10)°)) + ((0.2 * cos(u)) * cos(v)), y(T) + ((0.85 * sin(25°)) * cos(((20 * p) - 10)°)) + ((0.2 * sin(u)) * cos(v)), z(T) - (0.85 * sin(((20 * p) - 10)°)) + ((cc * 0.2) * sin(v)), u, 0, (2 * π), v, ((-π)) / 2, π / 2) → a
  18. Surface(x(T) + ((0.85 * cos(25°)) * cos(((20 * p) - 10)°)) + ((0.2 * cos(u)) * cos(v)), y(T) - ((0.85 * sin(25°)) * cos(((20 * p) - 10)°)) + ((0.2 * sin(u)) * cos(v)), z(T) - (0.85 * sin(((20 * p) - 10)°)) + ((cc * 0.2) * sin(v)), u, 0, (2 * π), v, ((-π)) / 2, π / 2) → b
  19. Circle((0, 0, 0), 3, zAxis) → d

AI Drawing Prompt Reference

Draw a Bibendum geometric model with multiple spheres and mirror operations. Start by drawing a sphere with a radius of 0.8 for the shoulder, then mirror it to the x-axis and z-axis plane to get another shoulder. Next, draw a sphere with a radius of 0.9 for the thigh, and mirror it to the x-axis and z-axis plane to get another thigh. Continue by drawing a sphere with a radius of 0.6 for the shin, and mirror it to the x-axis and z-axis plane to get another shin. Draw a sphere with a radius of 1.2 for the abdomen, and a sphere with a radius of 1.5 for the chest. Draw a sphere with a radius of 0.6 for the left arm, and mirror it to the x-axis and z-axis plane to get the right arm. Draw a sphere with a radius of 0.4 for the left hand, and mirror it to the x-axis and z-axis plane to get the right hand. Draw a sphere with a radius of 0.3 for the left knee, and mirror it to the x-axis and z-axis plane to get the right knee. Draw a sphere with a radius of 1 for the back. Draw a sphere with a radius of 0.9 for the head. Finally, draw two surfaces, one representing the side of the head and the other representing the front of the head.
The prompt above was compiled from the original drawing commands and is for reference only.