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Barandilla Geometry

Barandilla Geometry
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2019-06-30 00:09
VectorSolid GeometryGeometric Construction
This example demonstrates the geometric construction of a railing. Key mathematical concepts include geometric construction, solid geometry, and vectors. Using GeoGebra commands such as Polygon, Prism, Intersect, etc., a 3D model of the railing can be constructed. Suitable for high school or university students and teachers.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → c1, f, g, h, i
  2. Prism(c1, (2 * k)) → e, E, arista1, arista2, arista3, arista4, arista5, arista6, arista7, arista8, F, G, H, cara1, cara2, cara3, cara4, cara5
  3. Polygon(L, I, K, J) → c2, l, i_1, k_1, j
  4. Prism(c2, (2 * k)) → a, M, aristaLM, aristaIN, aristaKP, aristaJQ, aristaMN, aristaNP, aristaPQ, aristaMQ, N, P, Q, caraILMN, caraIKPN, caraJKPQ, caraJLMQ, caraMNPQ
  5. Polygon(S, T, U, R) → c3, s, t, u, r
  6. Prism(c3, (2 * k)) → b, V, aristaSV, aristaTW, aristaUZ, arista9, aristaVW, aristaWZ, arista11, arista10, W, Z, A_1, caraSTWV, caraTUZW, cara7, cara6, cara8
  7. Intersect(aristaLM, aristaTW) → D_1
  8. Corner(2, 1) → E_1
  9. Corner(2, 2) → F_1
  10. Intersect(arista4, cara7) → B_1
  11. Intersect(aristaJQ, arista1) → C_1
  12. Intersect(arista9, caraJKPQ) → G_1
  13. Polygon(H, B_1, C_1, E) → c4, h_1, b_1, c_1, e_1
  14. Polygon(H, B_1, U) → t1, u_1, h_2, m
  15. Polygon(B_1, G_1, R, U) → c5, n, g_1, r_1, u_2
  16. Polygon(G_1, R, K) → t2, k_2, p, r_2
  17. Polygon(K, J, C_1, G_1) → c6, k_3, j_1, q, c
  18. Polygon(C_1, J, E) → t3, e_2, d, j_2
  19. Polygon(C_1, B_1, G_1) → t4, f_1, l_1, m_1
  20. Rotate(hex, 0, zAxis) → hex'
  21. Rotate(hex, π / 2, zAxis) → hex''
  22. Rotate(hex, π, zAxis) → hex'''
  23. Rotate(hex, (3 * π / 2), zAxis) → hex''''
  24. Mirror(hex', O) → hex''_1
  25. Mirror(hex'', O) → hex'''_1
  26. Mirror(hex''', O) → l1
  27. Mirror(hex'''', O) → l2
  28. Vector((0, 0, 0), (0, 0, (2 * k))) → uz
  29. Translate(e, uz) → e'
  30. Translate(e, Vector[(-uz)]) → e'_1
  31. Translate(b, ux) → a'
  32. Translate(b, Vector[(-ux)]) → b'
  33. Translate(a, uy) → a'_1
  34. Translate(a, Vector[(-uy)]) → a'_2

AI Drawing Prompt Reference

Draw a 3D railing model consisting of four rectangular prisms, each with four faces. First, draw four rectangular bases, then create prisms around each base. Connect adjacent prisms through their intersection points. Finally, rotate and mirror the prisms to form the complete railing structure.
The prompt above was compiled from the original drawing commands and is for reference only.