Rotation of All Platonic Solids
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surface 3D /3D-Oberflächen 1
surface 3D /3D-Oberflächen 1
Geometry: Surface Area & Volume
Geometry: Surface Area & Volume
Geometry: Surface Area & Volume
GA Chapter 11: Surface Area and Volume
This example demonstrates the rotation of all Platonic solids. It involves the geometric transformation, particularly rotation. Using GeoGebra commands such as Polygon and Mirror, the rotation process of these solids can be dynamically displayed. Suitable for high school or university-level solid geometry courses.
GeoGebra Commands & Parameters
Polygon(H, L, J) → многоугольник15, j_4, h_4, l_5Polygon(J, Z, H) → многоугольник16, h_5, j_5, z_4Polygon(H, L, N) → многоугольник17, n_5, h_6, l_6Polygon(A_3, J, L) → многоугольник18, l_7, a_5, j_6Mirror(A_3, I) → G_1Mirror(N, I) → N'Polygon(D_1, E_3, F_3) → многоугольник19, f_2, d_5, e_5Mirror(Z, I) → Z'Polygon(N, Z', F_3) → многоугольник20, f_3, n_6, z'Polygon(L, Z', N) → многоугольник21, n_7, l_8, z'_1Polygon(Z', A_3, L) → многоугольник22, l_9, z'_2, a_6Polygon(H, G_1, N) → многоугольник23, n_8, h_7, g_4Polygon(Z, G_1, H) → многоугольник24, h_8, z_5, g_5Polygon(A_3, J, N') → многоугольник25, n', a_7, j_7Polygon(N', Z, J) → многоугольник26, j_8, n'_1, z_6Polygon(Z', E_3, F_3) → многоугольник27, f_4, z'_3, e_6Polygon(Z', A_3, E_3) → многоугольник28, e_7, z'_4, a_8Polygon(E_3, N', D_1) → многоугольник29, d_6, e_8, n'_2Polygon(N, F_3, G_1) → многоугольник30, g_6, n_9, f_5Polygon(D_1, G_1, F_3) → многоугольник31, f_6, d_7, g_7Polygon(D_1, Z, G_1) → многоугольник32, g_8, d_8, z_7Polygon(Z', N, L) → многоугольник33, l_{10}, z'_5, n_{10}Polygon(A_3, N', E_3) → многоугольник34, e_9, a_9, n'_3Polygon(N', Z, D_1) → многоугольник35, d_9, n'_4, z_8Polygon(F, C, E, B, A) → многоугольник1, f_1, c_1, e_1, b_1, a_1Mirror(H_{AB}, D) → H_1Mirror(H_{BE}, D) → I_1Mirror(H_{EC}, D) → J_1Mirror(H_{CF}, D) → K_1Mirror(H_{FA}, D) → L_1Polygon(H_{AB}, J_1, A, B, K_1) → многоугольник2, h_{ab}, j_1, a_2, b_2, k_1Polygon(H_{FA}, I_1, F, A, J_1) → многоугольник3, h_{fa}, i_1, f_7, a_3, j_2Polygon(H_{FA}, J_1, H_{AB}, C_1, E_1) → многоугольник4, h_1, j_3, h_2, c_2, e_2Polygon(O_1, R_1, P_1) → многоугольник5, p_1, o_1, r_1Polygon(Q_1, R_1, O_1) → многоугольник6, o_3, q_1, r_2Polygon(M_1, R_1, Q_1) → многоугольник7, q_2, m_2, r_3Polygon(P_1, R_1, M_1) → многоугольник8, m_3, p_2, r_4Polygon(P_1, M_1, S_1) → многоугольник9, s_1, p_3, m_4Polygon(S_1, M_1, Q_1) → многоугольник10, q_3, s_2, m_5Polygon(S_1, Q_1, O_1) → многоугольник11, o_4, s_3, q_4Polygon(S_1, O_1, P_1) → многоугольник12, p_4, s_4, o_5Mirror(T_1, T_k) → Z_1Mirror(V_1, T_k) → A_2Mirror(W_1, T_k) → B_2Mirror(U_1, T_k) → C_2Polygon(T_1, C_2, B_2, V_1) → многоугольник13, t_1, c_3, b_3, v_1Polygon(B_2, Z_1, U_1, V_1) → многоугольник14, b_4, z_1, u_2, v_2Polygon(Z_1, A_2, W_1, U_1) → многоугольник36, z_2, a_4, w_1, u_3Polygon(W_1, A_2, C_2, T_1) → многоугольник37, w_2, a_{10}, c_4, t_2Polygon(F_2, G_2, D_2) → многоугольник38, d_2, f_8, g_2Polygon(E_2, G_2, F_2) → многоугольник39, f_9, e_3, g_3Polygon(D_2, G_2, E_2) → многоугольник40, e_4, d_3, g_9Polygon(A_2, Z_1, B_2, C_2) → многоугольник41, a_{11}, z_3, b_5, c_5Polygon(E_2, F_2, D_2) → многоугольник42, d_4, e_{10}, f_{10}Polygon(W_1, T_1, V_1, U_1) → многоугольник43, w_3, t_3, v_3, u_4Polygon(B_1, H_{CF}, I_1, H_{FA}, E_1) → многоугольник44, b_6, h_{cf}, i_2, h_3, e_{11}Polygon(H_{BE}, K_1, B, E, L_1) → многоугольник45, h_{be}, k_2, b_7, e_{12}, l_1Polygon(H_{EC}, L_1, E, C, H_1) → многоугольник46, h_{ec}, l_2, e_{13}, c_6, h_9Polygon(H_{CF}, H_1, C, F, I_1) → многоугольник47, h_{10}, h_{11}, c_7, f_{11}, i_3Polygon(C_1, H_{AB}, K_1, H_{BE}, F_1) → многоугольник48, c_8, h_{12}, k_3, h_{13}, f_{12}Polygon(F_1, H_{BE}, L_1, H_{EC}, A_1) → многоугольник49, f_{13}, h_{14}, l_3, h_{15}, a_{12}Polygon(F_1, A_1, B_1, E_1, C_1) → многоугольник50, f_{14}, a_{13}, b_8, e_{14}, c_9Polygon(A_1, H_{EC}, H_1, H_{CF}, B_1) → многоугольник51, a_{14}, h_{16}, h_{17}, h_{18}, b_9
AI Drawing Prompt Reference
Create a dynamic visualization of the rotation of all Platonic solids to demonstrate geometric transformation, specifically rotation. Begin by constructing several regular polygons as fundamental units, then use mirror and rotation operations to dynamically display the rotational process of these solid figures, suitable for high school or university-level solid geometry courses.
The prompt above was compiled from the original drawing commands and is for reference only.