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Slippery Surface Geometry Demo

Slippery Surface Geometry Demo
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2015-05-28 15:43
VectorSolid GeometryProbability & StatisticsTransformationGeometric Construction
In collections Slippery surface
This example demonstrates geometric transformations and reflections on a slippery surface, involving core concepts like expected value, similarity transformation, reflection, prism, and surface. It uses commands such as Polygon, Segment, Intersect, Vector, PolyLine, and Translate in GeoGebra. Suitable for high school students and geometry enthusiasts to understand spatial transformations and probability applications.

GeoGebra Commands & Parameters

  1. Polygon(E, F, B, N, O, R, S, T, U, V, W, Z, G, A_1, B_1, C_1, D_1, E_1, F_1, G_1, H_1, I_1, J_1, H, K_1, L_1, M_1, N_1, O_1, P_1, Q_1, R_1, I, J, K, L, M, A) → camino, c, m, p, q, i_1, s_1, t_1, c_2, d_2, e_2, f_2, d, g_2, h_2, j_2, k_2, l_2, m_2, n_2, p_2, q_2, r_2, e, s_2, t_2, a_3, b_3, c_3, d_3, e_3, f_3, g_3, f, g, h, j, k, l
  2. Segment(Q, P) → segmento
  3. Intersect(segmento, camino) → corte, corte_1, corte_2, corte_3, corte_4
  4. Segment(C, D) → llegada
  5. Intersect(llegada, segmento) → corteganador
  6. Vector(ejemplo, ejemplopunta) → ejemplovector
  7. PolyLine(listarastro) → rastro
  8. Vector(controles + (1, 1), controles + (0, 1)) → izq
  9. Vector(controles + (2, 0.5), controles + (2, 1.5)) → arr
  10. Vector(controles + (3, 1.5), controles + (3, 0.5)) → aba
  11. Vector(controles + (4, 1), controles + (5, 1)) → der
  12. Vector(ejemplo, puntoexplicado) → vectorexplicado_1
  13. Vector(puntoexplicado, ejemplopunta) → vectorexplicado_2
  14. Vector(P, P + (i * (Q - P))) → segmentovisible
  15. Polygon((0, 0), (0.8, 0), (0.8, 1.8), (0, 1.8)) → rectangulito, rectangulito_2, rectangulito_3, rectangulito_4, rectangulito_5
  16. Translate(Rotate[rectangulito, 90*°], controles + (5.4, 0.6)) → der_F
  17. Translate(rectangulito, controles + (2.6, 0.1)) → aba_F
  18. Translate(rectangulito, controles + (1.6, 0.1)) → arr_F
  19. Translate(Rotate[rectangulito, 90*°], controles + (1.4, 0.6)) → izq_F