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3D Cube in 2D Environment

3D Cube in 2D Environment
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2016-04-18 03:29
Coordinate GeometrySolid GeometryGeometric Construction
In collections surface 3D /3D-Oberflächen 1 surface 3D /3D-Oberflächen 1
This example demonstrates how to construct a 3D cube in a 2D environment and transform it into an artistic form. Key mathematical concepts include solid geometry and geometric construction. Using GeoGebra commands such as Circle, Point, and Segment, the faces and edges of the cube are constructed. Suitable for high school students and those interested in geometric art.

GeoGebra Commands & Parameters

  1. Circle(A, 12) → c
  2. Point(c) → B
  3. Circle(B, 5) → d
  4. Point(c) → C
  5. Circle(C, 5) → e
  6. Point(e) → D
  7. Point(e) → E
  8. Point(e) → F
  9. Point(e) → G
  10. Point(d) → H
  11. Point(d) → I
  12. Point(d) → J
  13. Point(d) → K
  14. Segment(D, I) → a
  15. Segment(F, K) → b
  16. Segment(I, D) → f
  17. Segment(G, H) → g
  18. Segment(E, J) → h
  19. Segment(G, D) → i
  20. Segment(D, E) → j
  21. Segment(E, F) → k
  22. Segment(F, G) → l
  23. Segment(K, H) → m
  24. Segment(H, I) → n
  25. Segment(I, J) → p
  26. Segment(J, K) → q

AI Drawing Prompt Reference

Draw a 2D projection of a 3D cube, including 8 vertices and 12 edges. Start by drawing a circle and selecting point B, then draw another circle with B as the center and select point C, and continue this process until all vertices are determined. Finally, connect these vertices to form the 12 edges of the cube.
The prompt above was compiled from the original drawing commands and is for reference only.