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Rotation of Cube and Octahedron

Rotation of Cube and Octahedron
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2013-02-05 00:50
Solid GeometryGeometric Construction
This example demonstrates the rotation of a cube and an octahedron. Key mathematical concepts include solid geometry and rotation. Using commands like RotateText, Distance, Polygon, Midpoint, Area, etc., the rotation animation of the cube and octahedron can be constructed. Suitable for high school mathematics education and students learning solid geometry.

GeoGebra Commands & Parameters

  1. RotateText("\copyright uStas\;\;Strelets", 90°) → надпись24
  2. Distance(A_5, B_5) → b
  3. Polygon(A_5, B_5, 6) → многоугольник1, a_5, F_5, b_5, a, f, g, j, C_5, D_5, E_5
  4. Midpoint(A_5, D_5) → O_3
  5. Area(A_5, B_5, C_5, D_5, E_5, F_5) → w_1
  6. OrthogonalLine(О, j) → c
  7. Intersect(j, c) → H
  8. Distance(A_5, B_5) → d
  9. Point(c) → I
  10. Midpoint(E_5, B_5) → L
  11. Segment(E_5, A_5) → l
  12. OrthogonalLine(L, j) → m
  13. Intersect(m, l) → M
  14. Segment(D_5, B_5) → n
  15. OrthogonalLine(L, b_5) → q
  16. Intersect(n, q) → N
  17. OrthogonalLine(L, f) → r
  18. Segment(F_5, D_5) → a_1
  19. Intersect(r, a_1) → P
  20. Polygon(M, P, N) → многоугольник2, n_1, m_2, p_1
  21. Distance(L, N) → расстояниеLN
  22. Distance(L, N) → u
  23. Polygon(A, J, K, B) → многоугольник4, a_2, j_2, k_2, b_1
  24. Polygon(B, C, K) → многоугольник5, k_4, b_2, c_1
  25. Polygon(F, J, A) → многоугольник6, a_3, f_1, j_4
  26. Polygon(E, Q, J, F) → многоугольник7, e_1, q_2, j_5, f_2
  27. Polygon(D, Q, E) → многоугольник8, e_2, d_1, q_3
  28. Polygon(C, K, Q, D) → многоугольник9, c_2, k_5, q_4, d_2
  29. Rotate(M, 60°, L) → M_4
  30. Rotate(P, 60°, L) → P_4
  31. Rotate(N, 60°, L) → N_4
  32. Polygon(M_4, P_4, N_4) → многоугольник2', n', m', p'
  33. Polygon(R, B, C, T) → многоугольник3, r_1, b_3, c_3, t_1
  34. Polygon(T, D, C) → многоугольник10, c_4, t_2, d_3
  35. Polygon(R, A, B) → многоугольник11, b_4, r_2, a_4
  36. Polygon(U, F, A, R) → многоугольник12, u_2, f_3, a_6, r_3
  37. Polygon(U, E, F) → многоугольник13, f_4, u_3, e_3
  38. Polygon(T, D, E, U) → многоугольник14, t_3, d_4, e_4, u_4
  39. Polygon(Q, J, K) → многоугольник15, k_1, q_1, j_1

AI Drawing Prompt Reference

Draw a rotation animation of a cube and an octahedron. Start by drawing the six faces of the cube and the eight faces of the octahedron. Then, rotate these faces around the center points of the cube and octahedron to show their rotation effects.
The prompt above was compiled from the original drawing commands and is for reference only.