Asjtarjan Layers

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2020-04-30 19:24

This example demonstrates the construction process of Asjtarjan layers. It involves core geometric concepts such as polygons and transformations. Using GeoGebra commands like PolyLine, it dynamically illustrates the construction of the layers. Suitable for middle school and above students and teachers.

GeoGebra Commands & Parameters

PolyLine(E, F, O, P, Q, R, S, T, U, G, H, I, J, K, L, M, N) → f
PolyLine(V, W, H_1, I_1, J_1, K_1, L_1, M_1, N_1, Z, A_1, B_1, C_1, D_1, E_1, F_1, G_1) → g
PolyLine(O_1, P_1, A_2, B_2, C_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2, Q_1, K_2, L_2, M_2, N_2, O_2, P_2, Q_2, R_1, S_1, T_1, U_1, V_1, W_1, Z_1) → h
PolyLine(R_2, S_2, D_3, E_3, F_3, G_3, H_3, I_3, J_3, K_3, L_3, M_3, T_2, N_3, O_3, P_3, Q_3, S_3, T_3, U_3, V_3, W_3, U_2, V_2, W_2, Z_2, A_3, B_3, C_3) → i
PolyLine(R_3, U_4, F_5, G_5, H_5, I_5, J_5, K_5, L_5, M_5, N_5, O_5, V_4, P_5, Q_5, R_5, S_5, T_5, U_5, V_5, Z_4, W_4, A_5, B_5, C_5, D_5, E_5) → k
PolyLine(W_5, Z_5, A_6, B_6, C_6, D_6, E_6) → l
PolyLine(F_6, G_6, H_6, I_6, J_6, K_6, L_6) → m
PolyLine(M_6, N_6, O_6, P_6) → n
PolyLine(Q_6, R_6, S_6, T_6) → p
PolyLine(Z_3, A_4, J_4, K_4, L_4, M_4, N_4, O_4, P_4, Q_4, F_7, R_4, B_4, G_7, S_4, T_4, C_4, D_4, E_4, F_4, G_4, H_4, I_4) → j
PolyLine(U_6, B_4, B_7, L_4, C_7, N_4, D_7, P_4, E_7, F_7, H_7, G_7, V_6, I_7, D_4, W_6, F_4, Z_6, H_4, A_7, J_4) → q
PolyLine(J_7, K_7, R_7, A_7, S_7, T_7, C_7, U_7, D_7, V_7, W_7, Z_7, L_7, A_8, B_8, H_7, C_8, D_8, E_8, V_6, M_7, N_7, O_7, P_7, Q_7, Z_6) → r
PolyLine(N_7, F_8, G_8, H_8, I_8, J_8, P_7) → s
PolyLine(W_7, K_8, L_8, M_8, N_8, O_8, A_8) → t
PolyLine(C_8, U_9, T_9, S_9, R_9) → b
PolyLine(M_9, N_9, O_9, P_9, Q_9) → c
PolyLine(L_9, K_9, U_7, J_9, I_9, H_9, G_9) → d
PolyLine(A_9, C_9, D_9, B_9, R_7, F_9, E_9) → e
PolyLine(T_8, U_8, V_8, W_8, Z_8) → f_1