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Necker Cube Construction

Necker Cube Construction
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2015-06-29 15:38
Coordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the construction of an inverted cube. Key mathematical concepts include solid geometry and geometric construction. Using GeoGebra commands such as Line, OrthogonalLine, Point, etc., the faces and edges of the cube are constructed. Suitable for middle school and above students or teachers for teaching and learning solid geometry.

GeoGebra Commands & Parameters

  1. Line(B, xAxis) → c_1
  2. OrthogonalLine(B, c_1) → s
  3. Point(s) → C
  4. OrthogonalLine(C, s) → b_1
  5. Point(b_1) → J
  6. Point(b_1) → I
  7. Mirror(T_1, T_k) → Z_1
  8. Mirror(V_1, T_k) → A_2
  9. Mirror(W_1, T_k) → B_2
  10. Mirror(U_1, T_k) → C_2
  11. Segment(B_2, C_2) → d
  12. Segment(C_2, A_2) → e
  13. Segment(A_2, Z_1) → f
  14. Segment(B_2, Z_1) → g
  15. Segment(Z_1, U_1) → h
  16. Segment(V_1, U_1) → i
  17. Segment(B_2, V_1) → j
  18. Segment(U_1, W_1) → l
  19. Segment(W_1, T_1) → m
  20. Segment(V_1, T_1) → p
  21. Segment(C_2, T_1) → q
  22. Segment(A_2, W_1) → r
  23. Point(s) → A
  24. Point(s) → D
  25. OrthogonalLine(F, s) → t
  26. Point(t) → G
  27. OrthogonalLine(K, b_1) → e_1
  28. Point(e_1) → L