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Two Polyhedra by Eleni

Two Polyhedra by Eleni
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2015-02-12 04:39
PolygonSolid GeometryGeometric Construction
This example demonstrates the construction of two polyhedra. It involves basic concepts of polyhedra such as prisms and pyramids. Using GeoGebra commands like If, Corner, Polygon, the structure of polyhedra can be dynamically built and observed. Suitable for middle and high school students learning solid geometry.

GeoGebra Commands & Parameters

  1. If(Angle[A4, B4, B1] < 180°, Polygon[A4, B4, B1, A1]) → многоугольник15
  2. If((Angle[A2, B2, B3] < 180°) ∧ (Angle[D2, E2, E3] < 180°), Polygon[A2, B2, B3, A3]) → многоугольник2
  3. If((Angle[A4, B4, B1] < 180°) ∧ (Angle[D4, E4, E1] < 180°), Polygon[A4, B4, B1, A1]) → многоугольник4
  4. If((Angle[A1, B1, B2] < 180°) ∧ (Angle[D1, E1, E2] < 180°), Polygon[A1, B1, B2, A2]) → многоугольник1
  5. If((Angle[A3, B3, B4] < 180°) ∧ (Angle[D3, E3, E4] < 180°), Polygon[A3, B3, B4, A4]) → многоугольник3
  6. If(Angle[B4, B3, C3] < 180°, Polygon[F3, B3, B4, F4]) → многоугольник7
  7. If(Angle[B2, B1, C1] < 180°, Polygon[F1, B1, B2, F2]) → многоугольник5
  8. If(Angle[B3, B2, C2] < 180°, Polygon[F2, B2, B3, F3]) → многоугольник6
  9. If(Angle[B1, B4, C4] < 180°, Polygon[F4, B4, B1, F1]) → многоугольник8
  10. If(Angle[D2, E2, E3] < 180°, Polygon[D2, E2, E3, D3]) → многоугольник10
  11. If(Angle[D3, E3, E4] < 180°, Polygon[D3, E3, E4, D4]) → многоугольник11
  12. If(Angle[D4, E4, E1] < 180°, Polygon[D4, E4, E1, D1]) → многоугольник12
  13. If(Angle[D1, E1, E2] < 180°, Polygon[D1, E1, E2, D2]) → многоугольник13
  14. If(Angle[E1, E4, E3] < 180°, Polygon[E1, E2, E3, E4]) → многоугольник14
  15. If(Angle[D1, D2, D3] < 180°, Polygon[D1, D2, D3, D4]) → многоугольник16
  16. If(Angle[A2, B2, B3] < 180°, Polygon[A2, B2, B3, A3]) → многоугольник17
  17. If(Angle[A3, B3, B4] < 180°, Polygon[A3, B3, B4, A4]) → многоугольник18
  18. If(Angle[A1, B1, B2] < 180°, Polygon[A1, B1, B2, A2]) → многоугольник19
  19. If((Angle[A1, F1, F4] < 180°) ∧ (Angle[D4, E4, E1] < 180°), Polygon[A4, F4, F1, A1]) → многоугольник9
  20. If((Angle[A2, F2, F1] < 180°) ∧ (Angle[E2, D2, D1] < 180°), Polygon[A2, F2, F1, A1]) → многоугольник20
  21. If((Angle[A3, F3, F2] < 180°) ∧ (Angle[E3, D3, D2] < 180°), Polygon[A3, F3, F2, A2]) → многоугольник21
  22. If((Angle[A4, F4, F3] < 180°) ∧ (Angle[E4, D4, D3] < 180°), Polygon[A4, F4, F3, A3]) → многоугольник22
  23. If(Angle[F1, F4, A4] < 180°, Polygon[F1, F4, A4, A1]) → многоугольник23
  24. If(Angle[F4, F3, A3] < 180°, Polygon[F4, F3, A3, A4]) → многоугольник24
  25. If(Angle[F3, F2, A2] < 180°, Polygon[F3, F2, A2, A3]) → многоугольник25
  26. If(Angle[F2, F1, A1] < 180°, Polygon[F2, F1, A1, A2]) → многоугольник26
  27. Corner(1) → A
  28. Corner(2) → B
  29. Corner(3) → C
  30. Corner(4) → D
  31. Polygon(A, B, C, D) → многоугольник27, a_1, b_1, c_1, d
  32. Polygon(A, B, C, D) → многоугольник28, a_2, b_2, c_2, d_1

AI Drawing Prompt Reference

Please draw two polyhedra: a prism and a pyramid. The prism has a quadrilateral base, a parallel and congruent top, and rectangular sides. The pyramid has a quadrilateral base and a vertex above the base center. Construction order: first draw the prism's base and sides, then the pyramid's base and vertex.
The prompt above was compiled from the original drawing commands and is for reference only.