Cube and Octahedron to Cuboctahedron Transformation

GeoGebra Commands & Parameters

1. Point(Circle[A, (2 * sqrt(2))]) → B
2. Segment(A, B) → f
3. Polygon(A, B, 4) → poly1, g, h, i, j, C, D
4. Polygon(E, F, 4, xOyPlane) → poly2, k, l, m, n, G, H
5. Prism(poly2, b) → c, M, edgeEM, edgeFN, edgeGO, edgeHP, edgeMN, edgeNO, edgeOP, edgeMP, N, O, P, faceEFNM, faceFGON, faceGHPO, faceEHPM, faceMNOP
6. Polygon(A, B, 4) → poly3, p, q, r, s, I, J
7. Pyramid(poly3, e) → o, L, faceABL, faceBIL, faceIJL, faceAJL, edgeAL, edgeBL, edgeIL, edgeJL
8. Pyramid(poly3, t) → u, Q, faceABQ, faceBIQ, faceIJQ, faceAJQ, edgeAQ, edgeBQ, edgeIQ, edgeJQ
9. Sphere(M, a) → v
10. Intersect(edgeGO, v) → K,
11. Intersect(edgeMN, v, 1) → R
12. Intersect(edgeEM, v, 1) → S
13. Intersect(edgeMP, v, 1) → T
14. Polygon(T, S, R) → t1, r_1, t_1, s_1
15. Midpoint(M, O) → U
16. Midpoint(E, G) → V
17. Line(U, V) → f_1
18. Rotate(t1, (-(90°)), f_1) → t1'
19. Rotate(R, (-(90°)), f_1) → R'
20. Rotate(T, (-(90°)), f_1) → T'
21. Rotate(S, (-(90°)), f_1) → S'
22. Rotate(t1, (-(180°)), f_1) → t1'_1
23. Rotate(R, (-(180°)), f_1) → R'_1
24. Rotate(T, (-(180°)), f_1) → T'_1
25. Rotate(S, (-(180°)), f_1) → S'_1
26. Rotate(t1, (-(270°)), f_1) → t1'_2
27. Rotate(R, (-(270°)), f_1) → R'_2
28. Rotate(T, (-(270°)), f_1) → T'_2
29. Rotate(S, (-(270°)), f_1) → S'_2
30. Segment(H, E) → g_1
31. Segment(E, F) → h_1
32. Segment(F, G) → i_1
33. Segment(H, G) → j_1
34. Sphere(E, a) → w
35. Intersect(h_1, w, 1) → W
36. Intersect(edgeEM, w, 1) → Z
37. Intersect(g_1, w, 1) → A_1
38. Polygon(Z, A_1, W) → t2, w_1, z_1, a_1
39. Rotate(t2, (-(90°)), f_1) → t2'
40. Rotate(Z, (-(90°)), f_1) → Z'
41. Rotate(W, (-(90°)), f_1) → W'
42. Rotate(A_1, (-(90°)), f_1) → B_1
43. Rotate(t2, (-(180°)), f_1) → t2'_1
44. Rotate(W, (-(180°)), f_1) → W'_1
45. Rotate(A_1, (-(180°)), f_1) → C_1
46. Rotate(Z, (-(180°)), f_1) → Z'_1
47. Rotate(t2, (-(270°)), f_1) → t2'_2
48. Rotate(Z, (-(270°)), f_1) → Z'_2
49. Rotate(A_1, (-(270°)), f_1) → D_1
50. Rotate(W, (-(270°)), f_1) → W'_2
51. Sphere(L, ((a * 2) * sqrt(2) / 2)) → b_1
52. Intersect(edgeIL, b_1, 1) → E_1
53. Intersect(edgeBL, b_1, 1) → F_1
54. Intersect(edgeJL, b_1, 1) → G_1
55. Intersect(edgeAL, b_1, 1) → H_1
56. Polygon(H_1, F_1, E_1, G_1) → q1, k_1, l_1, e_1, m_1
57. Sphere(A, (a * sqrt(2))) → c_1
58. Intersect(edgeAL, c_1, 1) → I_1
59. Intersect(p, c_1, 1) → J_1
60. Intersect(s, c_1, 1) → K_1
61. Intersect(edgeAQ, c_1, 1) → L_1
62. Polygon(K_1, L_1, J_1, I_1) → q2, n_1, p_1, q_1, d_1
63. Line(L, Q) → f_2
64. Rotate(q2, (-(90°)), f_2) → q2'
65. Rotate(K_1, (-(90°)), f_2) → M_1
66. Rotate(I_1, (-(90°)), f_2) → N_1
67. Rotate(J_1, (-(90°)), f_2) → O_1
68. Rotate(L_1, (-(90°)), f_2) → P_1
69. Rotate(q2, (-(180°)), f_2) → q2'_1
70. Rotate(K_1, (-(180°)), f_2) → Q_1
71. Rotate(I_1, (-(180°)), f_2) → R_1
72. Rotate(J_1, (-(180°)), f_2) → S_1
73. Rotate(L_1, (-(180°)), f_2) → T_1
74. Rotate(q2, (-(270°)), f_2) → q2'_2
75. Rotate(J_1, (-(270°)), f_2) → U_1
76. Rotate(K_1, (-(270°)), f_2) → V_1
77. Rotate(L_1, (-(270°)), f_2) → W_1
78. Rotate(I_1, (-(270°)), f_2) → Z_1
79. Line(J, B) → g_2
80. Rotate(q1, 180°, g_2) → q1'
81. Rotate(F_1, 180°, g_2) → A_2
82. Rotate(E_1, 180°, g_2) → B_2
83. Rotate(H_1, 180°, g_2) → C_2
84. Rotate(G_1, 180°, g_2) → D_2
85. Polygon(R_1, S_1, V_1, Z_1, G_1, E_1) → poly4, s_2, t_2, v_1, a_2, b_2, c_2
86. Polygon(Z_1, U_1, K_1, I_1, H_1, G_1) → poly5, h_2, u_1, i_2, j_2, d_2, e_2
87. Polygon(H_1, I_1, J_1, M_1, N_1, F_1) → poly6, k_2, l_2, m_2, n_2, f_3, g_3
88. Polygon(O_1, P_1, A_2, C_2, T_1, Q_1) → poly7, h_3, i_3, j_3, k_3, l_3, m_3
89. Polygon(S_1, T_1, C_2, D_2, W_1, V_1) → poly8, n_3, p_3, q_3, r_3, s_3, t_3
90. Polygon(U_1, W_1, D_2, B_2, L_1, K_1) → poly9, a_3, b_3, c_3, d_3, e_3, f_4
91. Polygon(R', T'_1, R'_1, T'_2, R'_2, T, R, T') → poly10, r', t'_1, r'_1, t'_2, r'_2, t_4, r_4, t'
92. Polygon(R, S, Z, W, B_1, Z', S', T') → poly11, r_5, s_4, z_2, w_2, g_4, z', s', h_4
93. Polygon(R', S', Z', W', C_1, Z'_1, S'_1, T'_1) → poly12, i_4, j_4, k_4, w', l_4, z'_1, s'_1, m_4
94. Polygon(R'_1, S'_1, Z'_1, W'_1, D_1, Z'_2, S'_2, T'_2) → poly13, n_4, p_4, q_4, w'_1, a_4, z'_2, s'_2, b_4
95. Polygon(R'_2, S'_2, Z'_2, W'_2, A_1, Z, S, T) → poly14, c_4, d_4, e_4, w'_2, f_5, z_3, s_5, t_5
96. Polygon(A_1, W'_2, D_1, W'_1, C_1, W', B_1, W) → poly15, g_5, h_5, i_5, j_5, k_5, l_5, m_5, w_3
97. Polygon(E_1, R_1, Q_1, O_1, N_1, F_1) → poly16, p_2, q_2, r_2, o_1, n_5, p_5
98. Polygon(I_1, K_1, L_1, J_1) → q3, q_5, a_5, b_5, c_5
99. Polygon(A_2, B_2, D_2, C_2) → q4, d_5, e_5, f_6, g_6
100. Polygon(M_1, B_2, A_2) → t3, h_6, i_6, j_6