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Net for a Rectangular Prism by Daryl Cox

Net for a Rectangular Prism by Daryl Cox
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2018-04-25 00:46
PolygonVectorSolid GeometryGeometric ConstructionSlider Animation
In collections Surface Area Discovery
This example demonstrates the net of a rectangular prism and its properties, involving core math concepts like solid geometry, polygon construction, and vector operations. It utilizes GeoGebra commands such as Sequence, Element, Polygon, and Segment, along with objects like z, R_z, a, echelle, P, β, sinβ, cosβ, R_y, α, sinα, cosα, R_x, I, u, v, w, Mat, cube, cube', alpha, texte1, texte2, AE, droite, listepoints, A, E, C_1, D, poly1, a_1, b, c_1, d, B, F, G, H, poly2. Suitable for high school students to understand spatial geometry and geometric constructions, or for educational demonstrations.

GeoGebra Commands & Parameters

  1. Sequence((Mat * Element[cube, k]), k, 1, 8) → cube'
  2. Element(Element[AE, 3], 1) → droite
  3. Sequence(I + (Element[cube', k, 1, 1], Element[cube', k, 2, 1]), k, 1, 8) → listepoints
  4. Element(listepoints, 2) → A
  5. Element(listepoints, 1) → E
  6. Element(listepoints, 4) → C_1
  7. Element(listepoints, 3) → D
  8. Polygon(A, E, C_1, D) → poly1, a_1, b, c_1, d
  9. Element(listepoints, 6) → B
  10. Element(listepoints, 7) → F
  11. Element(listepoints, 8) → G
  12. Element(listepoints, 5) → H
  13. Polygon(B, F, G, H) → poly2, e, f, g, h
  14. Element(listepoints, 3) → C
  15. Polygon(F, C, A, B) → poly3, f_1, i, a_2, b_1
  16. Element(AB, 3, 1) → avant
  17. Polygon(C_1, G, H, E) → poly4, c_2, g_1, h_1, e_1
  18. Element(AC, 3, 1) → dessus
  19. Polygon(F, C, C_1, G) → poly5, f_2, c_3, c_4, g_2
  20. Polygon(A, B, H, E) → poly6, a_3, b_2, h_2, e_2
  21. Segment(E, A) → c
  22. Segment(A, C) → j
  23. Segment(A, B) → k
  24. Segment(C, C_1) → l
  25. Segment(C_1, E) → m
  26. Segment(A, B) → p
  27. Segment(B, H) → q
  28. Segment(H, E) → r
  29. Segment(H, G) → s
  30. Segment(B, F) → t
  31. Segment(G, C_1) → d_1
  32. Segment(F, G) → i_1
  33. Segment(F, C) → j_1
  34. Polygon(A, B, F', D') → poly7, a_4, b_3, f', d'
  35. Polygon(E, A, D'', C') → poly8, e_3, a_5, d'', c'
  36. Polygon(B, F'', G', H) → poly9, b_4, f'', g', h_3
  37. Polygon(H, G'', C''', E) → poly10, h_4, g'', c''', e_4
  38. Polygon(A_2, B_2, G'', C''') → poly11, a_6, b_5, g''_1, c'''_1

AI Drawing Prompt Reference

Draw the net of a rectangular prism, consisting of six connected rectangular faces arranged in a cross shape, with labeled edge lengths and angles to demonstrate its 3D structure. Start by sketching the base rectangular prism, then unfold it into a flat net by sequentially connecting the vertices to form each face, and finally label the key points, edges, and angle measures for clarity.
The prompt above was compiled from the original drawing commands and is for reference only.