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Rotating Cuboid by Gabriele Sponheimer

Rotating Cuboid by Gabriele Sponheimer
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2018-06-24 21:54
VectorFunctionSolid Geometry
This example demonstrates the dynamic rotation of a cuboid around an axis. It involves core mathematical concepts such as solid geometry, vector operations, linear and polynomial functions. Construction highlights include commands like Segment and Polygon, and objects like v_x, B1, A1, v_z. Suitable for high school and above students studying solid geometry, vectors, and function applications.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, D) → h
  4. Segment(D, E) → i
  5. Segment(E, F) → j
  6. Segment(G, D) → k
  7. Segment(G, B) → a
  8. Segment(A, F) → f_1
  9. Segment(A, H) → g_1
  10. Segment(H, E) → h_1
  11. Segment(F, G) → i_1
  12. Segment(C, H) → j_1
  13. Polygon(A, H, E, F) → q1, a_1, h_2, e_1, f_2
  14. Polygon(B, C, D, G) → q2, b_1, c_1, d_1, g_2
  15. Polygon(H, C, D, E) → q3, h_3, c_2, d_2, e_2
  16. Polygon(A, H, C, B) → q4, a_2, h_4, c_3, b_2
  17. Polygon(A, B, G, F) → q5, a_3, b_3, g_3, f_3
  18. Polygon(E, F, G, D) → q6, e_3, f_4, g_4, d_3

AI Drawing Prompt Reference

Draw a rotating cuboid around an axis to demonstrate its dynamic movement, highlighting solid geometry and vector operations, construct the cuboid's faces using polygons, and emphasize the application of linear and polynomial functions.
The prompt above was compiled from the original drawing commands and is for reference only.