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Dyme - 2.5 (with numbers)

Dyme - 2.5 (with numbers)
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2019-10-01 05:40
Coordinate GeometrySolid GeometryProbability & Statistics
This example demonstrates the geometric construction of Dyme - 2.5 (with numbers). Key mathematical concepts include area, numbers, logarithm, standard deviation, sphere, arithmetic mean, and cube. Using GeoGebra commands such as Point, OrthogonalLine, Intersect, Line, Segment, and Polygon, complex geometric shapes are constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. OrthogonalLine(B, yAxis) → f
  3. OrthogonalLine(A, xAxis) → g
  4. Intersect(f, yAxis) → C
  5. Intersect(xAxis, yAxis) → D
  6. Line(C, D) → h
  7. Segment(A, D) → i
  8. Segment(B, C) → j
  9. Segment(B, A) → k
  10. Segment(C, D) → l
  11. Intersect(j, k) → E
  12. Intersect(i, k) → F
  13. Intersect(i, l) → G
  14. Intersect(j, l) → H
  15. Polygon(E, F, G, H) → q1, e, f_1, g_1, h_1
  16. Intersect(i, k) → I
  17. OrthogonalLine(I, j) → m
  18. Intersect(m, j) → J
  19. Point(j) → K
  20. OrthogonalLine(K, i) → n
  21. Intersect(n, i) → L
  22. Segment(K, L) → p
  23. OrthogonalLine(N, xAxis) → q
  24. OrthogonalLine(N, yAxis) → r
  25. Point(r) → M
  26. OrthogonalLine(M, xAxis) → s
  27. Intersect(s, xAxis) → O
  28. OrthogonalLine(O, q) → t
  29. Intersect(q, t) → P
  30. Segment(N, M) → a
  31. Segment(M, O) → b
  32. Segment(O, P) → c
  33. Segment(P, N) → d
  34. Polygon(N, P, O, M) → q2, n_1, p_1, o, m_1
  35. Intersect(c, d) → Q
  36. Point(d) → R
  37. OrthogonalLine(Q, xAxis) → i_1
  38. OrthogonalLine(R, b) → j_1
  39. Intersect(b, c) → S
  40. OrthogonalLine(S, j_1) → k_1
  41. Point(d) → V
  42. OrthogonalLine(V, xAxis) → r_1
  43. Point(d) → W
  44. OrthogonalLine(W, b) → s_1
  45. Intersect(b, o) → Z
  46. Intersect(s_1, b) → A_1
  47. OrthogonalLine(A_1, xAxis) → t_1
  48. Intersect(t_1, b) → B_1
  49. Intersect(t_1, b) → C_1
  50. Intersect(t_1, b) → D_1
  51. Intersect(t_1, b) → E_1
  52. Intersect(t_1, b) → F_1
  53. Intersect(t_1, b) → G_1
  54. Intersect(t_1, b) → H_1
  55. Point(q2) → I_1
  56. OrthogonalLine(I_1, d) → a_1
  57. Polygon(W, V, I_1, A_1) → q3, w, v, b_1, c_1
  58. Point(c_1) → J_1
  59. OrthogonalLine(J_1, a_1) → d_1
  60. Intersect(a_1, d_1) → K_1
  61. Segment(J_1, K_1) → e_1
  62. Intersect(a, d) → L_1
  63. OrthogonalLine(L_1, xAxis) → f_2
  64. Intersect(f_2, d) → M_1
  65. Point(d) → N_1
  66. OrthogonalLine(N_1, b) → g_2
  67. Intersect(b, o) → O_1
  68. Intersect(b, o) → P_1
  69. Point(b) → Q_1
  70. OrthogonalLine(Q_1, xAxis) → h_2
  71. Point(h_2) → R_1
  72. OrthogonalLine(R_1, yAxis) → i_2
  73. Polygon(L_1, N_1, Q_1, R_1) → q4, j_2, k_2, l_2, m_2
  74. Point(a) → S_1
  75. OrthogonalLine(S_1, xAxis) → n_2
  76. Intersect(g_2, n_2) → T_1
  77. Segment(S_1, T_1) → p_2
  78. Point(d) → U_1
  79. Intersect(c, d) → V_1
  80. Point(c) → W_1
  81. Point(b) → Z_1
  82. Polygon(U_1, V_1, W_1, Z_1) → q5, u_1, v_1, w_1, z_1
  83. Point(z_1) → T
  84. OrthogonalLine(T, xAxis) → l_1
  85. Intersect(l_1, c) → U
  86. Segment(T, U) → q_1
  87. Intersect(a, d) → A_2
  88. Intersect(c, d) → B_2
  89. Intersect(b, c) → C_2
  90. Intersect(a, b) → D_2
  91. Polygon(A_2, B_2, C_2, D_2) → q6, a_2, b_2, c_2, d_2

AI Drawing Prompt Reference

Draw a complex geometric figure consisting of multiple squares and rectangles. Start by creating point A on the x-axis, then create a vertical line f through point B and the y-axis, and create a vertical line g through point A and the x-axis. Find the intersection of f and the y-axis (point C), and the intersection of the x-axis and y-axis (point D). Then create line h through C and D, and line segments i through A and D, j through B and C, k through B and A, and l through C and D. Next, find the intersection of j and k (point E), i and k (point F), i and l (point G), and j and l (point H). Create quadrilateral q1 through points E, F, G, and H. Continue by creating line m through I and j, finding the intersection of m and j (point J), creating point K through j, creating a vertical line n through K and i, finding the intersection of n and i (point L), creating line segment p through K and L. Then create vertical line q through N and the x-axis, vertical line r through N and the y-axis, finding the intersection of r and the x-axis (point M), creating a vertical line s through M and the x-axis, finding the intersection of s and the x-axis (point O), creating a vertical line t through O and q, finding the intersection of t and q (point P), creating line segment a through N and M, line segment b through M and O, line segment c through O and P, and line segment d through P and N. Finally, create quadrilateral q2 through points N, P, O, and M.
The prompt above was compiled from the original drawing commands and is for reference only.