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Open Top Box Construction

Open Top Box Construction
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2017-04-06 10:18
PolygonTransformationGeometric Construction
In collections College Stuff
This example demonstrates the geometric construction of an open top box. Key mathematical concepts include polygons and transformations. Using GeoGebra commands such as Polygon and Rotate, the folding process of the box can be dynamically shown. Suitable for middle school and above students to learn geometric construction and transformations.

GeoGebra Commands & Parameters

  1. Polygon(E, G, I, H, F, N, O, P, M, K, L, J) → poly1, e, j, i, h, g, f, n, o, p, m, k, l
  2. Polygon(B, J, I, H) → poly2, b, j_1, i_1, h_1
  3. Polygon(C, L, K, M) → poly3, c, l_1, k_1, m_1
  4. Polygon(D, P, O, N) → poly4, d, p_1, o_1, n_1
  5. Polygon(A, E, G, F) → poly5, a_1, e_1, g_1, f_1
  6. Segment(I, G) → q
  7. Segment(G, O) → r
  8. Segment(O, K) → s
  9. Segment(K, I) → t
  10. Rotate(H, θ, q) → H'
  11. Rotate(E, θ, q) → E'
  12. Rotate(F, θ, r) → F'
  13. Rotate(N, θ, r) → N'
  14. Rotate(P, θ, s) → P'
  15. Rotate(M, θ, s) → M'
  16. Rotate(L, θ, t) → L'
  17. Rotate(J, θ, t) → J'
  18. Polygon(L', J', I, K) → poly6, l', j', i_2, k_2
  19. Polygon(K, M', P', O) → poly7, k_3, m', p', o_2
  20. Polygon(O, N', F', G) → poly8, o_3, n', f', g_2
  21. Polygon(G, E', H', I) → poly9, g_3, e', h', i_3
  22. Polygon(I, K, O, G) → poly10, i_4, k_4, o_4, g_4