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Richard Anuszkiewicz Animation Demo

Richard Anuszkiewicz Animation Demo
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2018-04-28 19:23
CircleVectorTrigonometryGeometric Construction
In collections Homothety, Rotation Symmetry -RO
This example demonstrates the dynamic process of Richard Anuszkiewicz-related geometric figures. It involves core mathematical concepts such as vectors, trigonometric functions, incircle, and algebra. Geogebra commands like Segment, OrthogonalLine, Point, Midpoint, Intersect, Polygon, PolyLine, Line, and Mirror are used for geometric construction. Suitable for high school and above students to understand vector operations, trigonometric applications, and geometric dynamic demonstrations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. Point(g) → C
  4. Midpoint(C, B) → J_2
  5. OrthogonalLine(C, g) → h
  6. OrthogonalLine(B, h) → i
  7. Intersect(h, i) → D
  8. Polygon(C, D, B, A) → q1, c_7, d_6, b_4, a_2
  9. Point(d_6) → G_4
  10. Segment(G_4, J_2) → q_1
  11. Segment(C, A) → j
  12. Segment(C, D) → k
  13. Segment(D, B) → l
  14. Segment(C, B) → m
  15. Segment(A, D) → n
  16. PolyLine(A, D, B) → s
  17. Point(q_1) → E
  18. Midpoint(C, E) → D_1
  19. Midpoint(C, D_1) → E_1
  20. Midpoint(C, E_1) → F_1
  21. Midpoint(E_1, D_1) → G_1
  22. Midpoint(D_1, E) → H_1
  23. Midpoint(H_1, E) → I_1
  24. Midpoint(D_1, H_1) → J_1
  25. Midpoint(F_1, E_1) → K_1
  26. Midpoint(E_1, G_1) → L_1
  27. Midpoint(G_1, D_1) → M_1
  28. Midpoint(D_1, J_1) → N_1
  29. Midpoint(J_1, H_1) → O_1
  30. Midpoint(H_1, I_1) → P_1
  31. Midpoint(I_1, E) → Q_1
  32. Midpoint(E, B) → R_1
  33. Midpoint(B, R_1) → S_1
  34. Midpoint(R_1, S_1) → T_1
  35. Midpoint(S_1, B) → U_1
  36. Midpoint(E, R_1) → V_1
  37. Midpoint(E, V_1) → W_1
  38. Midpoint(V_1, W_1) → Z_1
  39. Midpoint(E, W_1) → A_2
  40. Midpoint(V_1, R_1) → B_2
  41. Midpoint(B_2, V_1) → C_2
  42. Midpoint(B_2, R_1) → D_2
  43. Midpoint(R_1, T_1) → E_2
  44. Midpoint(T_1, S_1) → F_2
  45. Midpoint(S_1, U_1) → G_2
  46. Midpoint(U_1, B) → H_2
  47. Midpoint(C, F_1) → I_2
  48. Midpoint(J_2, D) → F
  49. Intersect(n, s) → H, I
  50. Intersect(n, s) → J, K
  51. Intersect(n, s) → L, M
  52. Intersect(n, s) → N, O
  53. Line(I_2, k) → p
  54. Line(F_1, p) → q
  55. Line(K_1, q) → r
  56. Line(E_1, r) → t
  57. Line(L_1, t) → a
  58. Line(G_1, a) → b
  59. Line(M_1, b) → c
  60. Line(D_1, c) → d
  61. Line(N_1, d) → e
  62. Line(J_1, e) → f_1
  63. Line(O_1, f_1) → g_1
  64. Line(H_1, g_1) → h_1
  65. Line(P_1, h_1) → i_1
  66. Line(I_1, i_1) → j_1
  67. Line(Q_1, j_1) → k_1
  68. Line(E, k_1) → l_1
  69. Intersect(p, s) → P, Q
  70. Intersect(q, n) → R
  71. Intersect(n, s) → S, T
  72. Intersect(r, n) → U
  73. Intersect(t, n) → V
  74. Intersect(a, n) → W
  75. Intersect(b, n) → Z
  76. Intersect(c, n) → A_1
  77. Intersect(d, n) → B_1
  78. Intersect(n, s) → Q_3, R_3
  79. Intersect(e, n) → S_3
  80. Intersect(f_1, n) → T_3
  81. Intersect(g_1, n) → U_3
  82. Intersect(h_1, n) → V_3
  83. Intersect(i_1, n) → W_3
  84. Intersect(j_1, n) → Z_3
  85. Intersect(n, s) → A_4, B_4
  86. Polygon(I_2, P, H_2) → t1, h_2, i_2, p_1
  87. Polygon(F_1, R, U_1) → t2, u_1, f_2, r_1
  88. Polygon(K_1, U, G_2) → t3, g_2, k_2, u
  89. Polygon(E_1, V, S_1) → t4, s_1, e_1, v
  90. Polygon(L_1, W, F_2) → t5, f_3, l_2, w
  91. Polygon(G_1, Z, T_1) → t6, t_1, g_3, z_1
  92. Polygon(M_1, A_1, E_2) → t7, e_2, m_1, a_1
  93. Polygon(D_1, B_1, R_1) → t8, r_2, d_1, b_1
  94. Polygon(N_1, S_3, D_2) → t9, d_2, n_1, s_3
  95. Polygon(J_1, T_3, B_2) → t10, b_2, j_2, t_3
  96. Polygon(O_1, U_3, C_2) → t11, c_2, o_1, u_3
  97. Polygon(H_1, V_3, V_1) → t12, v_1, h_3, v_3
  98. Polygon(P_1, W_3, Z_1) → t13, z_2, p_2, w_3
  99. Polygon(W_1, I_1, Z_3) → t14, z_3, w_1, i_3
  100. Mirror(J_1, J_2) → G
  101. Mirror(T_3, J_2) → C_1
  102. Mirror(B_2, J_2) → K_2
  103. Polygon(G, C_1, K_2) → t10', k_3, g_4, c_1
  104. Mirror(I_2, J_2) → L_2
  105. Mirror(P, J_2) → P'
  106. Mirror(H_2, J_2) → M_2
  107. Polygon(L_2, P', M_2) → t1', m_2, l_3, p'
  108. Mirror(F_1, J_2) → N_2
  109. Mirror(R, J_2) → R'
  110. Mirror(U_1, J_2) → O_2
  111. Polygon(N_2, R', O_2) → t2', o_2, n_2, r'
  112. Mirror(K_1, J_2) → P_2
  113. Mirror(U, J_2) → U'
  114. Mirror(G_2, J_2) → Q_2
  115. Polygon(P_2, U', Q_2) → t3', q_2, p_3, u'
  116. Mirror(E_1, J_2) → R_2
  117. Mirror(V, J_2) → V'
  118. Mirror(S_1, J_2) → S_2
  119. Polygon(R_2, V', S_2) → t4', s_2, r_3, v'
  120. Mirror(L_1, J_2) → T_2
  121. Mirror(W, J_2) → W'
  122. Mirror(F_2, J_2) → U_2
  123. Polygon(T_2, W', U_2) → t5', u_2, t_2, w'
  124. Mirror(G_1, J_2) → V_2
  125. Mirror(Z, J_2) → Z'
  126. Mirror(T_1, J_2) → W_2
  127. Polygon(V_2, Z', W_2) → t6', w_2, v_2, z'
  128. Mirror(M_1, J_2) → Z_2
  129. Mirror(A_1, J_2) → A_3
  130. Mirror(E_2, J_2) → B_3
  131. Polygon(Z_2, A_3, B_3) → t7', b_3, z_4, a_3
  132. Mirror(D_1, J_2) → C_3
  133. Mirror(B_1, J_2) → D_3
  134. Mirror(R_1, J_2) → E_3
  135. Polygon(C_3, D_3, E_3) → t8', e_3, c_3, d_3
  136. Mirror(N_1, J_2) → F_3
  137. Mirror(S_3, J_2) → G_3
  138. Mirror(D_2, J_2) → H_3
  139. Polygon(F_3, G_3, H_3) → t9', h_4, f_4, g_5
  140. Mirror(O_1, J_2) → I_3
  141. Mirror(U_3, J_2) → J_3
  142. Mirror(C_2, J_2) → K_3
  143. Polygon(I_3, J_3, K_3) → t11', k_4, i_4, j_3
  144. Mirror(H_1, J_2) → L_3
  145. Mirror(V_3, J_2) → M_3
  146. Mirror(V_1, J_2) → N_3
  147. Polygon(L_3, M_3, N_3) → t12', n_3, l_4, m_3
  148. Mirror(P_1, J_2) → O_3
  149. Mirror(W_3, J_2) → P_3
  150. Mirror(Z_1, J_2) → C_4
  151. Polygon(O_3, P_3, C_4) → t13', c_4, o_3, p_4
  152. Mirror(W_1, J_2) → D_4
  153. Mirror(I_1, J_2) → E_4
  154. Mirror(Z_3, J_2) → F_4
  155. Polygon(D_4, E_4, F_4) → t14', f_5, d_4, e_4
  156. Polygon(I_3, J_3, K_3) → t15, k_5, i_5, j_4
  157. Polygon(K_2, C_1, G) → t16, g_6, k_6, c_5
  158. Polygon(K_3, M_3, L_3) → t17, l_5, k_7, m_4
  159. Polygon(K_3, J_3, I_3) → t18, i_6, k_8, j_5
  160. Polygon(N_3, M_3, L_3) → t19, l_6, n_4, m_5
  161. Polygon(C_4, P_3, O_3) → t20, o_4, c_6, p_5
  162. Polygon(D_4, F_4, E_4) → t21, e_5, d_5, f_6