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Cube Construction by Casey

Cube Construction by Casey
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2016-11-29 08:30
Solid GeometryTransformationGeometric Construction
This example demonstrates the construction of a cube. It involves the basic properties and geometric transformations of a cube. Using GeoGebra commands such as Line, Segment, Point, etc., the faces and edges of the cube can be constructed. Suitable for middle school and above students to learn solid geometry.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Segment(A, C) → g
  3. Segment(B, C) → h
  4. Point(g) → D
  5. Point(h) → E
  6. Segment(B, D) → i
  7. Segment(A, E) → j
  8. Intersect(i, j) → F
  9. OrthogonalLine(C, f) → k
  10. OrthogonalLine(D, f) → l
  11. OrthogonalLine(E, f) → m
  12. OrthogonalLine(F, f) → n
  13. Point(k) → G
  14. Ray(B, G) → p
  15. Ray(A, G) → q
  16. Intersect(l, q) → H
  17. Intersect(m, p) → I
  18. Ray(B, H) → r
  19. Ray(A, I) → s
  20. Segment(D, C) → t
  21. Segment(C, E) → a
  22. Segment(E, F) → b
  23. Segment(F, D) → c
  24. Segment(D, H) → d
  25. Segment(H, G) → e
  26. Segment(G, C) → f_1
  27. Segment(G, I) → g_1
  28. Segment(I, E) → h_1
  29. Intersect(n, r) → J
  30. Segment(H, J) → i_1
  31. Segment(J, I) → j_1
  32. Segment(F, J) → k_1
  33. Segment(C, D) → m_1
  34. Segment(E, F) → n_1
  35. Segment(G, H) → p_1

AI Drawing Prompt Reference

Draw a cube by first drawing a line segment through points A and B, then drawing line segments through A and C, B and C, and determining points D, E, F, G, H, I, J, and finally drawing all the edges of the cube.
The prompt above was compiled from the original drawing commands and is for reference only.