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Triangular Prism Unfolding

Triangular Prism Unfolding
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2017-05-10 06:52
PolygonAngleTransformation
This example demonstrates the unfolding of a triangular prism. Key mathematical concepts include polygons, angles, and transformations. Using GeoGebra commands such as Intersect, Point, and Polygon, the unfolded shape of the triangular prism is constructed. Suitable for students at the junior high school level and above for studying solid geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, C) → poly1, c, a, b
  4. Segment(B, D) → d
  5. Line(C, d) → e
  6. Line(D, a) → f
  7. Line(D, c) → g
  8. Line(A, d) → h
  9. Intersect(g, h) → E
  10. Intersect(e, f) → F
  11. Angle(xAxis, a) → α
  12. Rotate(C, ((-i) * α), B) → C'
  13. Line(C', d) → j
  14. Segment(B, C') → k
  15. Line(D, k) → l
  16. Intersect(j, l) → G
  17. Polygon(B, D, G, C') → poly2, b_1, d_1, g_1, c'
  18. Polygon(A, E, D, B) → poly3, a_1, e_1, d_2, b_2
  19. Point(xAxis) → H
  20. Angle(C, A, H) → β
  21. Rotate(C, (i * β), A) → C'_1
  22. Segment(A, C'_1) → m
  23. Line(C'_1, a_1) → p
  24. Line(E, m) → n
  25. Intersect(p, n) → I
  26. Polygon(C'_1, I, E, A) → poly4, c'_1, i_1, e_2, a_2
  27. Polygon(F, E, D) → poly5, d_3, f_1, e_3

AI Drawing Prompt Reference

Draw the net of a triangular prism. Start with a base triangle on the horizontal axis. Rotate one side triangle about its base edge to lie flat in the same plane as the base. Then rotate another side triangle about another base edge to unfold it. Finally, place the third side triangle directly adjacent to the remaining base edge. The result shows three unfolded triangular faces connected to the base triangle along shared edges, illustrating the flattened surface of the prism.
The prompt above was compiled from the original drawing commands and is for reference only.