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Adjacent Cells

Adjacent Cells
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2020-04-30 14:23
PolygonSolid GeometryGeometric Construction
This example demonstrates adjacent cells. It involves the concept of polygons in geometry. Using GeoGebra commands such as Intersect, Point, and Polygon, a tetrahedron can be constructed. Suitable for middle school geometry education to help students understand the construction and properties of polyhedra.

GeoGebra Commands & Parameters

  1. Intersect(zAxis, yAxis) → B
  2. Point(xAxis) → C
  3. Point(yAxis) → D
  4. Polygon(B, C, A, D) → vierhoek1, b, c, a, d
  5. Prism(vierhoek1, 2) → e, E, RibbeBE, RibbeCF, RibbeAG, RibbeDH, RibbeEF, RibbeFG, RibbeGH, RibbeEH, F, G, H, zijvlakBCFE, zijvlakACFG, zijvlakADHG, zijvlakBDHE, zijvlakEFGH
  6. Point(zAxis) → I
  7. Line(M, N) → f
  8. CircleArc(M, J, L) → g
  9. Line(M, I) → h
  10. Segment(J, F) → i
  11. Segment(L, K) → j
  12. Segment(B, K) → k
  13. Point({k, RibbeEF, RibbeBE, i, j, g}) → P
  14. Locus(PP, P) → mp1
  15. CircleArc(M, O, J) → p
  16. Segment(O, Q) → l
  17. Segment(Q, A) → m
  18. Line(A, G) → as
  19. Mirror(vierhoek1, as) → vierhoek1'
  20. Mirror(zijvlakEFGH, as) → zijvlakEFGH'
  21. Mirror(E, as) → E'
  22. Mirror(B, as) → B'
  23. Segment(E', B') → RibbeBE'
  24. Mirror(L, as) → L'
  25. Mirror(K, as) → K'
  26. Plane((2, 0, 0), (0, 2, 0), (2, 0, 1)) → q
  27. Mirror(B, q) → B'_1
  28. Mirror(K, q) → K'_1
  29. Segment(B'_1, K'_1) → k'
  30. Mirror(J, q) → J'
  31. Mirror(F, q) → F'
  32. Segment(J', F') → i'
  33. Mirror(g, q) → g'
  34. Mirror(p, q) → p'
  35. Mirror(O, q) → O'
  36. Mirror(Q, q) → Q'
  37. Segment(O', Q') → l'
  38. Mirror(Q, q) → Q'_1
  39. Mirror(A, q) → A'
  40. Segment(Q'_1, A') → m'
  41. Segment((2, 1.8, 0), (2, 1.8, 1)) → j'
  42. Segment((1, 2, 0), (1, 2, 2)) → n
  43. Point(g) → R
  44. Point(g') → S
  45. Vector(R, J) → u
  46. Vector(S, J') → v
  47. Point(p) → T
  48. Point(p') → U
  49. Vector(T, J) → w
  50. Vector(U, J') → r
  51. Mirror(D, as) → D'
  52. Vector(D, B) → s
  53. Vector(D, A) → t
  54. Mirror(C, as) → C'
  55. Vector(C', A) → u_1
  56. Vector(C', B') → v_1