COSMOS Puzzles - Tetraminoes
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This example demonstrates the tetramino puzzle in the COSMOS series. Key mathematical concepts include geometric construction and transformations. Using GeoGebra commands such as Intersect, Polygon, and Midpoint, the tetraminoes can be constructed and assembled. Suitable for middle school and above students or teachers for geometry education and learning.
GeoGebra Commands & Parameters
Intersect(xAxis, yAxis) → APolygon(A, B, 4) → poly1, f, g, h, i, C, DMidpoint(D, A) → EMidpoint(A, B) → FMidpoint(B, C) → GMidpoint(C, D) → HMidpoint(H, D) → IMidpoint(D, E) → JMidpoint(E, A) → KMidpoint(A, F) → LMidpoint(F, B) → MMidpoint(B, G) → NMidpoint(G, C) → OMidpoint(C, H) → PSegment(I, L) → jSegment(H, F) → kSegment(P, M) → lSegment(J, O) → mSegment(E, G) → nSegment(K, N) → pPolygon(A, L, 4) → poly2, q, r, s, t, Q, RPolygon(F, M, 4) → poly3, a, b, c, d, S, TPolygon(Q, T, 4) → poly4, e, f_1, g_1, h_1, U, VPolygon(E, V, 4) → poly5, i_1, j_1, k_1, l_1, W, ZPolygon(I, W, 4) → poly6, m_1, n_1, p_1, q_1, A_1, B_1Polygon(A_1, U, 4) → poly7, r_1, s_1, t_1, a_1, C_1, D_1Polygon(C_1, S, 4) → poly8, b_1, c_1, d_1, e_1, E_1, F_1Polygon(P, D_1, 4) → poly9, f_2, g_2, h_2, i_2, G_1, H_1Point(Circle[I_1, 2]) → J_1Segment(I_1, J_1) → j_2Midpoint(j_2) → K_1Polygon(I_1, K_1, 4) → whiteS2, k_2, l_2, m_2, n_2, L_1, M_1Polygon(K_1, J_1, 4) → poly11, p_2, q_2, r_2, s_2, N_1, O_1Polygon(L_1, N_1, 4) → whiteS1, t_2, a_2, b_2, c_2, P_1, Q_1Polygon(P_1, N_1, 4) → poly13, d_2, e_2, f_3, g_3, R_1, S_1Polygon(I_1, J_1, N_1, R_1, S_1, Q_1, L_1, M_1) → Sborder_0, i_3, j_3, n_3, r_3, s_3, q_3, l_3, m_3Polygon(M_1, I_1, J_1, N_1, R_1, S_1, Q_1, L_1) → Sborder_2, m_4, i_4, j_4, n_4, r_4, s_4, q_4, l_4Segment(L_1, K_1) → h_3Segment(P_1, N_1) → k_3Segment(L_1, N_1) → p_3Point(Circle[T_1, 2]) → U_1Segment(T_1, U_1) → t_3Midpoint(t_3) → V_1Polygon(T_1, V_1, 4) → poly10, a_3, b_3, c_3, d_3, W_1, Z_1Polygon(V_1, U_1, 4) → whiteL1, e_3, f_4, g_4, h_4, A_2, B_2Polygon(Z_1, W_1, 4) → whiteL2, k_4, p_4, t_4, a_4, C_2, D_2Polygon(D_2, C_2, 4) → poly15, b_4, c_4, d_4, e_4, E_2, F_2Polygon(F_2, T_1, U_1, A_2, W_1, E_2) → Lborder_0, f_5, t_5, u_1, a_5, w_1, e_5Segment(D_2, C_2) → g_5Segment(Z_1, W_1) → h_5Segment(W_1, V_1) → i_5Polygon(F_2, T_1, U_1, A_2, W_1, E_2) → Lborder_2, f_6, t_6, u_2, a_6, w_2, e_6Point(Circle[G_2, 3]) → H_2Segment(G_2, H_2) → j_5Circle(G_2, 1) → c_5Circle(H_2, 1) → d_5Intersect(c_5, j_5, 1) → I_2Intersect(d_5, j_5, 1) → J_2Polygon(G_2, I_2, 4) → poly14, k_5, l_5, m_5, n_5, K_2, L_2Polygon(I_2, J_2, 4) → whiteT1, p_5, q_5, r_5, s_5, M_2, N_2Polygon(J_2, H_2, 4) → poly17, b_5, g_6, h_6, i_6, O_2, P_2Polygon(K_2, M_2, 4) → poly18, j_6, k_6, l_6, m_6, Q_2, R_2Polygon(G_2, H_2, O_2, M_2, Q_2, R_2, K_2, L_2) → Tborder_0, g_7, h_7, o_2, m_7, q_6, r_6, k_7, l_7Segment(K_2, I_2) → n_6Segment(K_2, M_2) → p_6Segment(M_2, J_2) → s_6Polygon(G_2, H_2, O_2, M_2, Q_2, R_2, K_2, L_2) → Tborder_2, g_8, h_8, o_1, m_8, q_7, r_7, k_8, l_8Point(Circle[S_2, 4]) → T_2Segment(S_2, T_2) → b_6Midpoint(b_6) → U_2Midpoint(S_2, U_2) → V_2Midpoint(U_2, T_2) → W_2Polygon(S_2, V_2, 4) → whiteI1, c_6, d_6, f_7, i_7, Z_2, A_3Polygon(V_2, U_2, 4) → poly19, j_7, n_7, p_7, s_7, B_3, C_3Polygon(U_2, W_2, 4) → whiteI2, t_7, a_7, b_7, c_7, D_3, E_3Polygon(W_2, T_2, 4) → Iborder_1, d_7, e_7, f_8, i_8, F_3, G_3Polygon(A_3, S_2, T_2, F_3) → Iborder_0, a_8, s_8, t_8, f_9Segment(Z_2, V_2) → j_8Segment(B_3, U_2) → n_8Segment(D_3, W_2) → p_8Polygon(A_3, S_2, T_2, F_3) → Iborder_2, a_9, s_9, t_9, f_{10}