Yoshimoto Cube Net (make 8)

Yoshimoto Cube Net (make 8)
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2017-07-03 00:39
This example demonstrates how to construct 8 Yoshimoto Cube nets through unfolding diagrams. Core math concepts include solid geometry, polygon construction, and geometric drawing. Construction highlights involve using GeoGebra commands like Segment, Point, Line, Circle, Intersect, and OrthogonalLine for point-line-circle intersections and perpendicular line constructions. Suitable for high school solid geometry teaching or geometric construction practice.

GeoGebra Commands & Parameters

  1. Segment(B, C) → a
  2. Segment(C, D) → b
  3. Segment(D, E) → c
  4. Point(a) → F
  5. Segment(E, F) → d
  6. Segment(B, G) → e
  7. Point(b) → H
  8. Segment(G, H) → f
  9. Line(I, xAxis) → g
  10. Point(g) → J
  11. Circle(F, Segment[I, C]) → h
  12. Point(yAxis) → K
  13. Segment(K, L) → i
  14. Point(yAxis) → M
  15. Segment(M, N) → j
  16. Intersect(h, j, 1) → O
  17. Intersect(h, i, 1) → P
  18. Circle(B, Radius[h]) → k
  19. Circle(E, Radius[k]) → p
  20. Intersect(p, i, 2) → Q
  21. OrthogonalLine(I, g) → l
  22. Intersect(k, l, 2) → R
  23. Segment(O, B) → m
  24. Segment(O, F) → n
  25. Segment(F, P) → q
  26. Segment(P, C) → r
  27. Segment(C, I) → s
  28. Segment(I, H) → t
  29. Segment(H, J) → a_1
  30. Segment(J, D) → b_1
  31. Segment(D, Q) → c_1
  32. Segment(Q, E) → d_1
  33. Segment(B, R) → e_1
  34. Segment(R, G) → f_1
  35. Intersect(d, f) → S
  36. Line(L, c_1) → g_1
  37. Line(L, d_1) → h_1
  38. Line(N, f) → i_1
  39. Line(M, m) → j_1
  40. Line(M, n) → k_1
  41. Line(T, e_1) → l_1
  42. Line(T, f_1) → m_1
  43. Line(U, q) → n_1
  44. Line(U, r) → p_1
  45. Point(xAxis) → W
  46. Point(xAxis) → Z
  47. Line(V, d) → q_1
  48. Line(Z, b_1) → r_1
  49. Line(Z, a_1) → s_1
  50. Line(W, t) → t_1
  51. Line(W, s) → a_2
  52. Point(l_1) → A_1
  53. Segment(B, A_1) → b_2
  54. Point(l_1) → B_1
  55. Segment(R, B_1) → c_2
  56. Segment(A_1, B_1) → d_2
  57. Point(m_1) → C_1
  58. Segment(R, C_1) → e_2
  59. Point(m_1) → D_1
  60. Segment(G, D_1) → f_2
  61. Segment(C_1, D_1) → g_2
  62. Intersect(h_1, i_1) → E_1
  63. Segment(G, E_1) → h_2
  64. Point(i_1) → F_1
  65. Segment(S, F_1) → i_2
  66. Point(q_1) → G_1
  67. Segment(S, G_1) → j_2
  68. Segment(F_1, E_1) → k_2
  69. Intersect(m_1, q_1) → H_1
  70. Segment(E, H_1) → l_2
  71. Segment(G_1, H_1) → m_2
  72. Point(h_1) → I_1
  73. Segment(E, I_1) → n_2
  74. Point(h_1) → J_1
  75. Segment(Q, J_1) → p_2
  76. Segment(I_1, J_1) → q_2
  77. Point(g_1) → K_1
  78. Segment(D, K_1) → r_2
  79. Point(g_1) → L_1
  80. Segment(Q, L_1) → s_2
  81. Segment(K_1, L_1) → t_2
  82. Point(r_1) → M_1
  83. Segment(D, M_1) → a_3
  84. Point(r_1) → N_1
  85. Segment(J, N_1) → b_3
  86. Segment(N_1, M_1) → c_3
  87. Intersect(s_1, t_1) → O_1
  88. Segment(H, O_1) → d_3
  89. Intersect(p_1, t_1) → P_1
  90. Point(s_1) → Q_1
  91. Segment(J, Q_1) → f_3
  92. Segment(Q_1, O_1) → g_3
  93. Segment(O_1, P_1) → h_3
  94. Point(a_2) → R_1
  95. Segment(I, R_1) → i_3
  96. Point(a_2) → S_1
  97. Segment(R_1, S_1) → j_3
  98. Segment(S_1, C) → k_3
  99. Point(p_1) → T_1
  100. Segment(C, T_1) → l_3
  101. Point(p_1) → U_1
  102. Segment(T_1, U_1) → m_3
  103. Segment(U_1, P) → n_3
  104. Point(n_1) → V_1
  105. Segment(P, V_1) → p_3
  106. Intersect(k_1, n_1) → W_1
  107. Segment(V_1, W_1) → q_3
  108. Segment(W_1, F) → r_3
  109. Point(k_1) → Z_1
  110. Segment(W_1, Z_1) → s_3
  111. Segment(Z_1, O) → t_3
  112. Point(j_1) → A_2
  113. Segment(O, A_2) → a_4
  114. Point(j_1) → B_2
  115. Segment(A_2, B_2) → b_4
  116. Segment(B_2, B) → c_4
  117. Intersect(s, t) → C_2
  118. Point(h_3) → D_2
  119. Segment(C_2, D_2) → e_3
  120. Intersect(d_3, g_3) → E_2
  121. Segment(D_2, E_2) → d_4

AI Drawing Prompt Reference

Draw a net of a cube consisting of six connected squares. Start by drawing two parallel line segments, then place four squares on each segment. Connect the squares with edges to form a mesh-like structure. Adjust the angles and positions to resemble an unfolded cube.
The prompt above was compiled from the original drawing commands and is for reference only.