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Triangular Prism Cross Section Demo

Triangular Prism Cross Section Demo
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2016-06-23 23:46
PolygonSolid GeometryGeometric Construction
This example demonstrates various cross sections of a triangular prism by moving three points. It involves core math concepts like prisms, cross-sections, and polygon geometry. Constructed using commands like Segment, Intersect, Plane, Prism, and IntersectPath. Suitable for middle school and above students to understand solid geometry and cross-section transformations, ideal for teaching demonstrations.

GeoGebra Commands & Parameters

  1. Segment(B, F) → BF
  2. Segment(E, F) → EF
  3. Intersect(EF, BF) → M
  4. Intersect(zAxis, EF) → L
  5. Segment(C, D) → CD
  6. Segment(B, C) → BC
  7. Segment(A, E) → AE
  8. Segment(D, A) → DA
  9. Segment(A, B) → AB
  10. Segment(E, D) → ED
  11. Segment(F, C) → FC
  12. Point(list1) → I
  13. Point(list1) → J
  14. Point(list1) → K
  15. Plane(I, J, K) → P
  16. Intersect(ED, AE) → G
  17. Intersect(DA, AE) → H
  18. Intersect(ED, DA) → N
  19. Intersect(EF, BF) → R
  20. Prism(G, H, N, R) → BoundedPrism, O, edgeGN, edgeGR, edgeHO, edgeNQ, edgeOR, edgeOQ, edgeQR, Q, faceGHN, faceGHOR, faceHNQO, faceGNQR, faceOQR, edgeGH, edgeHN
  21. IntersectPath(P, BoundedPrism) → BoundedPolygon_1, S, e, T, U, V, W, a, b, c, d

AI Drawing Prompt Reference

Draw a triangular prism with movable points to demonstrate various cross-sections. Start by constructing a triangle and connecting the vertices to form the prism. Then, define a plane using three movable points and show the cross-section of the prism by the plane. The cross-section will change as the plane moves, displaying different polygon shapes to illustrate transformations.
The prompt above was compiled from the original drawing commands and is for reference only.