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Pentagonal Prism by CHAU CHUN SING

Pentagonal Prism by CHAU CHUN SING
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2015-06-22 15:19
PolygonSolid GeometryGeometric Construction
This example demonstrates the construction of a pentagonal prism. Key mathematical concepts include polygons, solid geometry, and geometric construction. Using GeoGebra commands such as Point, Circle, Segment, etc., the faces and edges of the pentagonal prism can be constructed. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Circle(A, 3, zAxis) → c
  3. Point(yAxis) → B
  4. Midpoint(B, A) → C
  5. Point(xAxis) → D
  6. Segment(C, D) → a
  7. Circle(yAxis, C) → d
  8. Circle(yAxis, C) → e
  9. Circle(yAxis, B) → f
  10. Circle(a, C) → g
  11. Circle(C, B) → h
  12. Intersect(h, a, 1) → E
  13. Circle(D, E) → k
  14. Intersect
  15. Intersect(c, k, 2) → F
  16. Intersect(c, k, 1) → G
  17. Segment(F, G) → b
  18. Intersect(yAxis, c, 2) → H
  19. Circle(G, F, xOyPlane) → p
  20. Intersect
  21. Intersect(c, p, 1) → I
  22. Segment(G, I) → i
  23. Circle(I, G, xOyPlane) → q
  24. Intersect
  25. Intersect(c, q, 1) → J
  26. Segment(J, I) → j
  27. Circle(J, I, xOyPlane) → r
  28. Intersect
  29. Intersect(c, r, 1) → K
  30. Segment(F, K) → l
  31. Segment(K, J) → m
  32. OrthogonalLine(K, xOyPlane) → n
  33. Point(n) → L
  34. Intersect(xAxis, j) → M
  35. Prism(K, M, I, G, F, L) → o, N, faceFKLQ, faceLNOPQ, edgeKM, edgeIM, edgeGI, edgeFG, edgeFK, edgeKL, edgeMN, edgeIO, O, edgeGP, edgeFQ, edgeLN, edgeNO, edgeOP, edgePQ, edgeLQ, P, Q, faceFGIMK, faceKLNM, faceIMNO, faceGIOP, faceFGPQ
  36. Midpoint(N, O) → S
  37. Vector(F, Q) → u
  38. Vector(Q, S) → v
  39. OrthogonalLine(P, xOyPlane) → t
  40. Segment(G, P) → a_1
  41. Vector(G, P) → w
  42. Distance(G, P) → GP
  43. Point(G, w_1) → R
  44. Vector(I, O) → u_1
  45. Point(I, v_1) → T
  46. Vector(F, R) → c_1
  47. Vector(R, T) → d_1
  48. Vector(T, S) → e_1
  49. Distance(F, Q) → distanceFQ
  50. Distance(Q, S) → distanceQS
  51. Distance(F, R) → distanceFR
  52. Distance(R, T) → distanceRT
  53. Distance(T, S) → distanceTS

AI Drawing Prompt Reference

Draw a pentagonal prism with two parallel pentagonal bases and five vertical edges. Start by creating points on the Y-axis, such as A and B, then construct the pentagonal bases and edges using points C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, and Z. Finally, use these points to construct the prism's faces, including the pentagonal bases and side faces.
The prompt above was compiled from the original drawing commands and is for reference only.