掷骰子乘6：随机点与多边形变换的交互演示

GeoGebra 命令及参数

1. Shuffle(positionlist) → pl, {(9, 21), (14, 16), (2, 16), (5, 10), (21, 21), (21, 15), (8, 15), (19.234824979926557, 9.296710623986465), (3, 22), (15, 22)}
2. Element(pl, 1) → A
3. Element(pl, 2) → B
4. Element(pl, 3) → C
5. Element(pl, 4) → D
6. Element(pl, 5) → E
7. Element(pl, 6) → F
8. Element(pl, 7) → G
9. Element(pl, 8) → H
10. Element(pl, 9) → I
11. Element(pl, 10) → J
12. Circle(A, sd) → c
13. Circle(B, sd) → d
14. Circle(C, sd) → e
15. Circle(D, sd) → f
16. Circle(E, sd) → g
17. Circle(J, sd) → h
18. Circle(I, sd) → k
19. Circle(H, sd) → p
20. Circle(G, sd) → q
21. Random(90, 270) → a1
22. Circle(F, sd) → r
23. Point(c) → K
24. Point(d) → L
25. Point(e) → M
26. Point(f) → N
27. Point(g) → O
28. Rotate(K, a1°, A) → K'
29. Angle(K, A, K') → α
30. Polygon(A, K', 4) → poly1, i, j, l, m, P, Q
31. Random(0, 360) → a2
32. Random(0, 360) → a3
33. Random(0, 360) → a4
34. Random(0, 360) → a5
35. Random(0, 360) → a6
36. Random(0, 360) → a7
37. Random(0, 360) → a8
38. Random(0, 360) → a9
39. Random(0, 360) → a10
40. Point(r) → R
41. Point(q) → S
42. Point(p) → T
43. Point(k) → U
44. Point(h) → V
45. Rotate(L, a2°, B) → L'
46. Angle(L, B, L') → β
47. Rotate(M, a3°, C) → M'
48. Angle(M, C, M') → γ
49. Rotate(N, a4°, D) → N'
50. Angle(N, D, N') → δ
51. Rotate(O, a5°, E) → O'
52. Angle(O, E, O') → ε
53. Rotate(R, a6°, F) → R'
54. Angle(R, F, R') → ζ
55. Rotate(S, a7°, G) → S'
56. Angle(S, G, S') → η
57. Rotate(T, a8°, H) → T'
58. Angle(T, H, T') → θ
59. Rotate(U, a9°, I) → U'
60. Angle(U, I, U') → ι
61. Rotate(V, a10°, J) → V'
62. Angle(V, J, V') → κ
63. Polygon(B, L', 4) → poly2, n, s, t, a, W, Z
64. Polygon(C, M', 4) → poly3, b, f_1, g_1, h_1, A_1, B_1
65. Polygon(D, N', 4) → poly4, i_1, j_1, k_1, l_1, C_1, D_1
66. Polygon(E, O', 4) → poly5, m_1, n_1, p_1, q_1, E_1, F_1
67. Polygon(F, R', 4) → poly6, r_1, s_1, t_1, a_1, G_1, H_1
68. Polygon(G, S', 4) → poly7, b_1, c_1, d_1, e_1, I_1, J_1
69. Polygon(H, T', 4) → poly8, f_2, g_2, h_2, i_2, K_1, L_1
70. Polygon(I, U', 4) → poly9, j_2, k_2, l_2, m_2, M_1, N_1
71. Polygon(J, V', 4) → poly10, n_2, p_2, q_2, r_2, O_1, P_1
72. Circle(J, O_1) → c_2
73. Circle(H, K_1) → d_2
74. Circle(G, I_1) → e_2
75. Circle(F, G_1) → s_2
76. Circle(E, E_1) → t_2
77. Circle(D, C_1) → c_3
78. Circle(C, A_1) → d_3
79. Circle(B, W) → e_3
80. Circle(I, M_1) → f_3
81. Circle(A, P) → g_3
82. Midpoint(K', Q) → Q_1
83. Midpoint(Q_1, Q) → R_1
84. Midpoint(K', Q_1) → S_1
85. Midpoint(B, W) → T_1
86. Midpoint(T_1, W) → U_1
87. Midpoint(B, T_1) → V_1
88. Midpoint(C, A_1) → W_1
89. Midpoint(C, W_1) → Z_1
90. Midpoint(W_1, A_1) → A_2
91. Midpoint(D, C_1) → B_2
92. Midpoint(D, B_2) → C_2
93. Midpoint(B_2, C_1) → D_2
94. Midpoint(E, E_1) → E_2
95. Midpoint(E_2, E_1) → F_2
96. Midpoint(E, E_2) → G_2
97. Midpoint(F, G_1) → H_2
98. Midpoint(H_2, G_1) → I_2
99. Midpoint(F, H_2) → J_2
100. Midpoint(G, I_1) → K_2
101. Midpoint(G, K_2) → L_2
102. Midpoint(I_1, K_2) → M_2
103. Midpoint(H, K_1) → N_2
104. Midpoint(H, N_2) → O_2
105. Midpoint(N_2, K_1) → P_2
106. Midpoint(J, O_1) → Q_2
107. Midpoint(J, Q_2) → R_2
108. Midpoint(Q_2, O_1) → S_2
109. Midpoint(M_1, I) → T_2
110. Midpoint(M_1, T_2) → U_2
111. Midpoint(T_2, I) → V_2
112. Element(dl, dsl) → dn
113. Textfield(kiddice) → InputBox1
114. Textfield(kiddots) → InputBox2
115. Element(dl, dsl) → dice
116. Intersect(j, l) → E_3
117. Intersect(t, a) → F_3
118. Intersect(g_1, h_1) → G_3
119. Intersect(k_1, l_1) → H_3
120. Intersect(p_1, q_1) → I_3
121. Intersect(t_1, a_1) → J_3
122. Intersect(d_1, e_1) → K_3
123. Intersect(h_2, i_2) → L_3
124. Intersect(l_2, m_2) → M_3
125. Intersect(n_2, p_2) → N_3
126. Intersect(q_2, r_2) → O_3
127. Midpoint(A, Q_1) → P_3
128. Midpoint(Q_1, E_3) → Q_3
129. Midpoint(F_3, T_1) → R_3
130. Midpoint(L', T_1) → S_3
131. Midpoint(M', W_1) → T_3
132. Midpoint(W_1, G_3) → U_3
133. Midpoint(H_3, B_2) → V_3
134. Midpoint(B_2, N') → W_3
135. Midpoint(E_2, I_3) → Z_3
136. Midpoint(E_2, O') → A_4
137. Midpoint(R', H_2) → B_4
138. Midpoint(H_2, J_3) → C_4
139. Midpoint(K_2, S') → D_4
140. Midpoint(K_3, K_2) → E_4
141. Midpoint(L_3, N_2) → F_4
142. Midpoint(N_2, T') → G_4
143. Midpoint(U', T_2) → H_4
144. Midpoint(T_2, M_3) → I_4
145. Midpoint(N_3, Q_2) → J_4
146. Midpoint(Q_2, O_3) → K_4
147. Midpoint(Q_3, R_1) → B_3
148. Midpoint(S_1, P_3) → C_3
149. Midpoint(S_3, U_1) → D_3
150. Midpoint(V_1, R_3) → L_4
151. Midpoint(V_3, C_2) → M_4
152. Midpoint(D_2, W_3) → N_4
153. Midpoint(A_2, U_3) → O_4
154. Midpoint(T_3, Z_1) → P_4
155. Midpoint(U_2, I_4) → Q_4
156. Midpoint(H_4, V_2) → R_4
157. Midpoint(C_4, J_2) → S_4
158. Midpoint(I_2, B_4) → T_4
159. Midpoint(P_2, G_4) → U_4
160. Midpoint(F_4, O_2) → V_4
161. Midpoint(E_4, M_2) → W_4
162. Midpoint(L_2, D_4) → Z_4
163. Midpoint(K_4, S_2) → A_5
164. Midpoint(F_2, A_4) → B_5
165. Midpoint(Z_3, G_2) → C_5
166. Midpoint(R_2, J_4) → D_5