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Triangular Prism Net by gigiaz27

Triangular Prism Net by gigiaz27
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2013-02-28 12:00
PolygonSolid GeometryGeometric Construction
In collections Nets of Solids
This example demonstrates the net of a triangular prism and its folding process. Core math concepts include polygons, solid geometry, surface area calculation, and vector operations. Construction highlights involve commands like Segment, Polygon, Vector, Translate, and Point to draw faces and perform translation transformations. Suitable for middle school students and above learning solid geometry, geometric construction, and spatial visualization.

GeoGebra Commands & Parameters

  1. Segment(B, A) → a
  2. Polygon(B, A, C) → poly1, c, b, a_1
  3. Vector(C, D) → u
  4. Translate(B, u) → B'
  5. Translate(A, u) → A'
  6. Translate(C, u) → C'
  7. Polygon(B', A', C') → poly1', c', b', a'
  8. Segment(A, A') → d
  9. Segment(B, B') → e
  10. Segment(B_1, A_1) → a_3
  11. Polygon(B_1, A_1, C_1) → poly1_1, c_1, b_1, a_2
  12. Polygon(B, B', D, C) → poly2, b_2, b'_1, d_1, c_2
  13. Polygon(B, B', A', A) → poly3, b_3, b'_2, a'_1, a_4
  14. Polygon(A, A', D, C) → poly4, a_5, a'_2, d_2, c_3
  15. Point(xAxis) → E
  16. Point(xAxis) → F
  17. Polygon(C_1, E, G, H) → poly5, c_4, e_1, g, h
  18. Polygon(A_1, I, H, C_1) → poly6, a_6, i, h_1, c_5
  19. Polygon(F, J, I, A_1) → poly7, f, j, i_1, a_7
  20. Polygon(I, K, H) → poly8, h_2, i_2, k

AI Drawing Prompt Reference

Draw the net of a triangular prism, showing its folding process. Start by sketching three connected triangles to form the lateral faces, then add the bottom and top faces. Translate the lateral faces upward to create the corresponding top faces, and connect the vertices to form the edges of the prism. Finally, include some guide lines to emphasize the layers of folding.
The prompt above was compiled from the original drawing commands and is for reference only.