巴瓦雷尔立方体
几何画板及绘图内容加载中,请稍等……
①本范例演示了巴瓦雷尔立方体的几何构造与展开图;②涉及核心数学概念包括立方体、中线、菱形、对数、二项分布、标准差;③构造过程中运用了Intersect(相交)、Point(点)、Midpoint(中点)、Segment(线段)、Cube(立方体)、Net(展开图)、Distance(距离)、Polygon(多边形)、Circle(圆)、Plane(平面)、Line(直线)、Angle(角度)、Rotate(旋转)、OrthogonalLine(垂线)等GeoGebra命令与对象;④适合高中及以上学段学习立体几何与几何作图的学生使用。
GeoGebra 命令及参数
Intersect(xAxis, zAxis) → APoint(xAxis) → BMidpoint(A, B) → M_{AB}Segment(A + (0.001, 0), M_{AB}) → q_{13}Point(Circle[B, Distance[A, B], Segment[A, B]]) → CCube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGFNet(a, b) → c, I, R, S, T, U, V, faceIJKL, faceILNM, faceIJRQ, faceJKTS, faceKLVU, J, faceMNOP, edgeIL, edgeIJ, edgeJK, edgeKL, edgeLN, edgeMN, edgeIM, edgeIQ, edgeQR, K, edgeJR, edgeJS, edgeST, edgeKT, edgeKU, edgeUV, edgeLV, edgeNO, edgeOP, edgeMP, L, M, N, O, P, QDistance(A, W) → AWPolygon(W, W_1, 4, xOyPlane) → poly1, f, g, h, i, Z, A_1Distance(A, B) → ABCircle(W, (r * Distance[W, W_1]), xOyPlane) → dIntersect(f, d) → B_1, U_5Circle(W_1, Radius[d], xOyPlane) → r_2Intersect(g, r_2) → C_1, V_5Polygon(B_1, C_1, 4, xOyPlane) → poly2, j, k, l, m, D_1, E_1Circle(B_1, (r * Distance[B_1, C_1]), xOyPlane) → pIntersect(j, p) → F_1, W_5Circle(C_1, Radius[p], xOyPlane) → r_3Intersect(k, r_3) → G_1, C_6Polygon(F_1, G_1, 4, xOyPlane) → poly3, n, s, t, f_1, H_1, I_1Circle(F_1, (r * Distance[F_1, G_1]), xOyPlane) → c_1Intersect(n, c_1) → J_1, D_6Circle(G_1, Radius[c_1], xOyPlane) → r_4Intersect(s, r_4) → K_1, E_6Polygon(J_1, K_1, 4, xOyPlane) → poly4, g_1, h_1, i_1, j_1, L_1, M_1Polygon(W, B, W_1) → t1_b, w_1, w, b_1Polygon(B_1, W_1, C_1) → t2_b, c_2, b_2, w_2Polygon(F_1, C_1, G_1) → t3_b, g_2, f_2, c_3Polygon(J_1, G_1, K_1) → t4_b, k_1, j_2, g_3Circle(J_1, (r * Distance[J_1, K_1]), xOyPlane) → e_1Intersect(g_1, g_3) → N_1Intersect(g_1, g_3) → O_1Intersect(g_1, g_3) → P_1Intersect(g_1, g_3) → Q_1Intersect(g_1, g_3) → R_1Intersect(g_1, g_3) → S_1Intersect(g_1, g_3) → T_1Intersect(g_1, g_3) → U_1Intersect(g_1, g_3) → V_1Intersect(g_3, e_1) → Z_1, A_2Circle(K_1, Radius[e_1], xOyPlane) → r_5Intersect(h_1, r_5) → B_2, F_6Polygon(A_2, B_2, 4, xOyPlane) → poly5, l_1, m_1, n_1, q_1, C_2, D_2Polygon(B_2, K_1, A_2) → t5_b, a_2, b_3, k_2Circle(B, W_1, faceJKTS) → r_1Circle(S, Radius[r_1], faceJKTS) → s_1Intersect(edgeJS, s_1) → E_2, F_2Polygon(W_1, F_2, 4, faceJKTS) → poly6, t_1, a_1, h_2, i_2, G_2, H_2Polygon(B, F_2, W_1) → t1_b', w_3, b_4, f_3Circle(F_2, Radius[d], faceJKTS) → d_2Circle(W_1, Radius[d_2], faceJKTS) → e_2Intersect(i_2, e_2, 2) → I_2Intersect(t_1, d_2, 2) → J_2Polygon(I_2, J_2, 4, faceJKTS) → poly7, l_2, m_2, n_2, p_2, K_2, L_2Circle(I_2, Radius[p], faceJKTS) → q_2Circle(J_2, Radius[p], faceJKTS) → r_{13}Intersect(p_2, q_2) → M_2, N_2Intersect(l_2, r_{13}) → O_2, P_2Polygon(N_2, P_2, 4, faceJKTS) → poly8, s_2, t_2, h_3, i_3, Q_2, R_2Circle(N_2, Radius[c_1], faceJKTS) → d_3Circle(P_2, Radius[c_1], faceJKTS) → e_3Intersect(i_3, d_3) → S_2, T_2Intersect(s_2, e_3) → U_2, V_2Polygon(T_2, V_2, 4, faceJKTS) → poly9, j_3, k_3, l_3, m_3, W_2, Z_2Circle(T_2, Radius[r_5], faceJKTS) → p_3Circle(V_2, Radius[r_5], faceJKTS) → q_3Intersect(j_3, q_3) → A_3, B_3Intersect(m_3, p_3) → C_3, D_3Polygon(D_3, B_3, 4, faceJKTS) → poly10, n_3, r_{14}, s_3, t_3, E_3, F_3Polygon(I_2, W_1, J_2) → t2_g', j_4, i_4, w_4Polygon(N_2, I_2, P_2) → t3_p', p_4, n_4, i_5Polygon(T_2, N_2, V_2) → t4_y', v_2, t_4, n_5Polygon(D_3, T_2, B_3) → t5_b', b_5, d_4, t_5Circle(A_2, (r * Distance[A_2, B_2]), xOyPlane) → c_4Circle(B_2, Radius[c_4], xOyPlane) → r_6Circle(D_3, Radius[r_6], faceJKTS) → f_4Circle(B_3, Radius[f_4], faceJKTS) → g_4Intersect(t_3, f_4) → G_3, H_3Intersect(n_3, t_5) → I_3Intersect(n_3, t_5) → J_3Intersect(n_3, t_5) → K_3Intersect(n_3, t_5) → L_3Intersect(n_3, t_5) → M_3Intersect(t_5, g_4) → N_3, G_6Polygon(H_3, N_3, 4, faceJKTS) → poly11, a_3, h_4, k_4, l_4, O_3, P_3Intersect(l_1, k_2) → Q_3Intersect(k_2, c_4) → R_3, H_6Intersect(faceIJKL, poly1) → S_3, T_3, U_3, V_3, W_3, Z_5, A_6, B_6Intersect(m_1, r_6) → Z_3, I_6Polygon(R_3, Z_3, 4, xOyPlane) → poly12, m_4, q_4, r_{15}, s_4, A_4, B_4Circle(R_3, (r * Distance[R_3, Z_3]), xOyPlane) → c_5Circle(Z_3, Radius[c_5], xOyPlane) → r_7Intersect(m_4, c_5) → C_4, J_6Intersect(q_4, r_7) → D_4, K_6Polygon(C_4, D_4, 4, xOyPlane) → poly13, a_4, f_5, g_5, h_5, E_4, F_4Circle(H_3, Radius[r_7], faceJKTS) → e_5Circle(N_3, Radius[e_5], faceJKTS) → k_5Intersect(t_5, a_3) → G_4Intersect(a_3, k_5) → H_4, I_4Intersect(l_4, e_5) → J_4, K_4Polygon(K_4, I_4, 4, faceJKTS) → poly14, j_5, l_5, m_5, p_5, L_4, M_4Circle(C_4, (r * Distance[C_4, D_4]), xOyPlane) → q_5Intersect(a_4, q_5) → N_4, L_6Circle(D_4, Radius[q_5], xOyPlane) → r_8Circle(K_4, Radius[r_8], faceJKTS) → s_5Circle(I_4, Radius[s_5], faceJKTS) → c_6Intersect(p_5, s_5) → O_4, P_4Intersect(j_5, c_6) → Q_4, R_4Polygon(P_4, R_4, 4, faceJKTS) → poly15, a_5, f_6, g_6, h_6, S_4, T_4Intersect(f_5, r_8) → U_4, M_6Polygon(N_4, U_4, 4, xOyPlane) → poly16, i_6, j_6, k_6, l_6, V_4, W_4Circle(N_4, (r * Distance[N_4, U_4]), xOyPlane) → d_6Intersect(i_6, d_6) → Z_4, N_6Circle(U_4, Radius[d_6], xOyPlane) → r_9Intersect(j_6, r_9) → A_5, O_6Polygon(Z_4, A_5, 4, xOyPlane) → poly17, m_6, n_6, p_6, q_6, B_5, C_5Circle(P_4, Radius[r_9], faceJKTS) → r_{12}Circle(R_4, Radius[r_{12}], faceJKTS) → s_6Intersect(h_6, r_{12}) → D_5, E_5Intersect(a_5, s_6) → F_5, G_5Polygon(E_5, G_5, 4, faceJKTS) → poly18, t_6, a_6, b_6, f_7, H_5, I_5Circle(Z_4, (r * Distance[Z_4, A_5]), xOyPlane) → c_7Circle(A_5, Radius[c_7], xOyPlane) → r_{10}Circle(E_5, Radius[c_7], faceJKTS) → e_7Circle(G_5, Radius[e_7], faceJKTS) → g_7Intersect(f_7, e_7) → J_5, K_5Intersect(t_6, g_7) → L_5, M_5Polygon(K_5, M_5, 4, faceJKTS) → poly19, h_7, i_7, j_7, k_7, N_5, O_5Intersect(n_6, r_{10}) → P_5, P_6Intersect(m_6, c_7) → Q_5, Q_6Polygon(Q_5, P_5, 4, xOyPlane) → poly20, l_7, m_7, n_7, p_7, R_5, S_5Polygon(R_3, B_2, Z_3) → t6_b, z_3, r_{11}, b_7Polygon(Z_3, D_4, C_4) → t7_b, c_8, z_1, d_8Polygon(D_4, U_4, N_4) → t8_b, n_8, d_9, u_4Polygon(U_4, A_5, Z_4) → t9_b, z_4, u_1, a_7Polygon(A_5, P_5, Q_5) → t10_b, q_7, a_8, p_8Polygon(N_3, D_3, H_3) → t6_g', h_8, n_9, d_1Polygon(I_4, H_3, K_4) → t7_p', k_8, i_8, h_9Polygon(R_4, K_4, P_4) → t8_y', p_1, r_{16}, k_9Polygon(G_5, P_4, E_5) → t9_b', e_4, g_8, p_9Polygon(M_5, E_5, K_5) → t10_g', k_{10}, m_8, e_6Polygon(Z, C, W_1) → t1_g, w_5, z_2, c_9Polygon(D_1, Z, C_1) → t2_g, c_{11}, d_7, z_6Polygon(H_1, D_1, G_1) → t3_g, g_9, h_{10}, d_5Polygon(L_1, H_1, K_1) → t4_g, k_{11}, l_8, h_{11}Polygon(C_2, L_1, B_2) → t5_g, b_8, c_{10}, l_9Polygon(A_4, C_2, Z_3) → t6_g, z_5, a_9, c_{12}Polygon(E_4, A_4, D_4) → t7_g, d_{10}, e_8, a_{10}Polygon(E_4, V_4, U_4) → t8_g, u_2, e_9, v_4Polygon(V_4, B_5, A_5) → t9_g, a_{11}, v_1, b_9Polygon(P_5, B_5, R_5) → t10_g, r_{17}, p_{10}, b_{10}Polygon(W_1, C, H_2) → t1_g', h_{12}, w_6, c_{13}Polygon(H_2, I_2, L_2) → t2_p', l_{10}, h_{13}, i_9Polygon(L_2, N_2, R_2) → t3_y', r_{18}, l_{11}, n_{10}Polygon(R_2, T_2, Z_2) → t4_b', z_7, r_{19}, t_7Polygon(Z_2, D_3, F_3) → t5_g', f_8, z_8, d_{11}Polygon(F_3, H_3, P_3) → t6_p', p_{11}, f_9, h_{14}Polygon(K_4, P_3, M_4) → t7_y', m_9, k_{12}, p_{12}Polygon(P_4, M_4, T_4) → t8_b', t_8, p_{13}, m_{10}Polygon(E_5, T_4, I_5) → t9_g', i_{10}, e_{10}, t_9Polygon(K_5, I_5, O_5) → t10_p', o_5, k_{13}, i_{11}Polygon(A_1, A, W) → t1_p, w_7, a_{12}, a_{13}Polygon(E_1, W, B_1) → t2_p, b_{11}, e_{11}, w_8Polygon(I_1, B_1, F_1) → t3_p, f_{10}, i_{12}, b_{12}Polygon(M_1, F_1, J_1) → t4_p, j_8, m_{11}, f_{11}Polygon(D_2, J_1, A_2) → t5_p, a_{14}, d_{12}, j_9Polygon(B_4, A_2, R_3) → t6_p, r_{20}, b_{13}, a_{15}Polygon(F_4, R_3, C_4) → t7_p, c_{14}, f_{12}, r_{21}Polygon(W_4, C_4, N_4) → t8_p, n_{11}, w_9, c_{15}Polygon(C_5, N_4, Z_4) → t9_p, z_9, c_{16}, n_{12}Polygon(S_5, Z_4, Q_5) → t10_p, q_8, s_7, z_{10}Polygon(G_2, F_2, S) → t1_y', s_8, g_{10}, f_{13}Polygon(K_2, J_2, F_2) → t2_b', f_{14}, k_{14}, j_{10}Polygon(Q_2, P_2, J_2) → t3_g', j_{11}, q_9, p_{14}Polygon(V_2, P_2, W_2) → t4_p', w_{10}, v_3, p_{15}Polygon(B_3, V_2, E_3) → t5_y', e_{12}, b_{14}, v_5Polygon(B_3, N_3, O_3) → t6_b', o_3, b_{15}, n_{13}Polygon(N_3, I_4, L_4) → t7_g', l_{12}, n_{14}, i_{13}Polygon(I_4, R_4, S_4) → t8_p', s_9, i_{14}, r_{22}Polygon(R_4, G_5, H_5) → t9_y', h_{15}, r_{23}, g_{11}Polygon(G_5, M_5, N_5) → t10_b', n_{15}, g_{12}, m_{12}Polygon(Z, D, A_1) → t1_y, a_{16}, z_{11}, d_{13}Polygon(D_1, A_1, E_1) → t2_y, e_{13}, d_{14}, a_{17}Polygon(H_1, E_1, I_1) → t3_y, i_{15}, h_{16}, e_{14}Polygon(L_1, I_1, M_1) → t4_y, m_{13}, l_{13}, i_{16}Polygon(C_2, M_1, D_2) → t5_y, d_{15}, c_{17}, m_{14}Polygon(A_4, D_2, B_4) → t6_y, b_{16}, a_{18}, d_{16}Polygon(E_4, B_4, F_4) → t7_y, f_{15}, e_{15}, b_{17}Polygon(V_4, F_4, W_4) → t8_y, w_{11}, v_6, f_{16}Polygon(B_5, W_4, C_5) → t9_y, c_{18}, b_{18}, w_{12}Polygon(R_5, C_5, S_5) → t10_y, s_{10}, r_{24}, c_{19}Polygon(G_2, T, H_2) → t1_p', q, e, t_{11}Polygon(L_2, G_2, K_2) → t2_y', k_{15}, l_{14}, g_{15}Polygon(R_2, K_2, Q_2) → t3_b', q_{10}, r_{25}, k_{16}Polygon(Z_2, Q_2, W_2) → t4_g', w_{13}, z_{12}, q_{11}Polygon(F_3, W_2, E_3) → t5_p', e_{16}, f_{17}, w_{14}Polygon(P_3, E_3, O_3) → t6_y', o_1, p_{16}, e_{17}Polygon(M_4, O_3, L_4) → t7_b', l_{15}, m_{15}, o_2Polygon(T_4, L_4, S_4) → t8_g', s_{11}, t_{10}, l_{16}Polygon(I_5, S_4, H_5) → t9_p', h_{18}, i_{17}, s_{12}Polygon(H_5, O_5, N_5) → t10_y', n_{16}, h_{19}, o_4Plane(K, B, R) → oLine(K, B) → j_{12}Line(R, B) → q_{12}Angle(K, B, R, o) → αLine(I, B) → t_{12}Rotate(t1_b, α, t_{12}) → t1_b''Rotate(t2_b, α, t_{12}) → t2_y''Rotate(t3_y, α, t_{12}) → t3_b''Rotate(t4_g, α, t_{12}) → t4_b''Rotate(t5_b, α, t_{12}) → t5_b''Rotate(t6_p, α, t_{12}) → t6_b''Rotate(t7_y, α, t_{12}) → t7_b''Rotate(t8_b, α, t_{12}) → t8_p''Rotate(t9_b, α, t_{12}) → t9_b''Rotate(t10_b, α, t_{12}) → t10_y''Rotate(t1_p, α, t_{12}) → t1_p''Rotate(t2_p, α, t_{12}) → t2_b''Rotate(t3_g, α, t_{12}) → t3_p''Rotate(t4_b, α, t_{12}) → t4_p''Rotate(t5_p, α, t_{12}) → t5_p''Rotate(t6_y, α, t_{12}) → t6_p''Rotate(t7_g, α, t_{12}) → t7_p''Rotate(t8_p, α, t_{12}) → t8_g''Rotate(t9_p, α, t_{12}) → t9_p''Rotate(t10_p, α, t_{12}) → t10_b''OrthogonalLine(B, xOyPlane) → g_{13}Rotate(t2_y, α, t_{12}) → t2_p''Rotate(t8_g, α, t_{12}) → t8_b''Rotate(t10_y, α, t_{12}) → t10_p''Rotate(t8_y, α, t_{12}) → t8_y''Rotate(t9_y, α, t_{12}) → t9_g''Rotate(t10_g, α, t_{12}) → t10_g''Rotate(t9_g, α, t_{12}) → t9_y''Rotate(t7_p, α, t_{12}) → t7_y''Rotate(t7_b, α, t_{12}) → t7_g''Rotate(t6_g, α, t_{12}) → t6_g''Rotate(t6_b, α, t_{12}) → t6_y''Rotate(t5_y, α, t_{12}) → t5_g''Rotate(t5_g, α, t_{12}) → t5_y''Rotate(t4_p, α, t_{12}) → t4_g''Rotate(t4_y, α, t_{12}) → t4_y''Rotate(t3_p, α, t_{12}) → t3_y''Rotate(t1_g, α, t_{12}) → t1_y''Rotate(t3_b, α, t_{12}) → t3_g''Rotate(t2_g, α, t_{12}) → t2_g''Rotate(t1_y, α, t_{12}) → t1_g''Line(D, K) → j_{13}Rotate(t1_g, (-α), j_{13}) → t1_g'''Rotate(t2_b, (-α), j_{13}) → t2_g'''Rotate(t3_p, (-α), j_{13}) → t3_g'''Rotate(t4_y, (-α), j_{13}) → t4_g'''Rotate(t5_g, (-α), j_{13}) → t5_g'''Rotate(t6_b, (-α), j_{13}) → t6_g'''Rotate(t7_p, (-α), j_{13}) → t7_g'''Rotate(t8_y, (-α), j_{13}) → t8_g'''Rotate(t9_g, (-α), j_{13}) → t9_g'''Rotate(t10_b, (-α), j_{13}) → t10_g'''Rotate(t1_b, (-α), j_{13}) → t1_p'''Rotate(t2_p, (-α), j_{13}) → t2_p'''Rotate(t3_y, (-α), j_{13}) → t3_p'''Rotate(t4_g, (-α), j_{13}) → t4_p'''Rotate(t5_b, (-α), j_{13}) → t5_p'''Rotate(t6_p, (-α), j_{13}) → t6_p'''Rotate(t7_y, (-α), j_{13}) → t7_p'''Rotate(t8_g, (-α), j_{13}) → t8_p'''Rotate(t9_b, (-α), j_{13}) → t9_p'''Rotate(t10_p, (-α), j_{13}) → t10_p'''Rotate(t1_y, (-α), j_{13}) → t1_y'''Rotate(t2_g, (-α), j_{13}) → t2_y'''Rotate(t3_b, (-α), j_{13}) → t3_y'''Rotate(t4_p, (-α), j_{13}) → t4_y'''Rotate(t5_y, (-α), j_{13}) → t5_y'''Rotate(t6_g, (-α), j_{13}) → t6_y'''Rotate(t7_b, (-α), j_{13}) → t7_y'''Rotate(t8_p, (-α), j_{13}) → t8_y'''Rotate(t9_y, (-α), j_{13}) → t9_y'''Rotate(t10_g, (-α), j_{13}) → t10_y'''Rotate(t1_p, (-α), j_{13}) → t1_b'''Rotate(t2_y, (-α), j_{13}) → t2_b'''Rotate(t3_g, (-α), j_{13}) → t3_b'''Rotate(t4_b, (-α), j_{13}) → t4_b'''Rotate(t5_p, (-α), j_{13}) → t5_b'''Rotate(t6_y, (-α), j_{13}) → t6_b'''Rotate(t7_g, (-α), j_{13}) → t7_b'''Rotate(t8_b, (-α), j_{13}) → t8_b'''Rotate(t9_p, (-α), j_{13}) → t9_b'''Rotate(t10_y, (-α), j_{13}) → t10_b'''Rotate(t1_y, α, edgeAD) → t1_y''''Rotate(t2_g, α, edgeAD) → t2_y''''Rotate(t3_b, α, edgeAD) → t3_y''''Rotate(t4_p, α, edgeAD) → t4_y''''Rotate(t5_y, α, edgeAD) → t5_y''''Rotate(t6_g, α, edgeAD) → t6_y''''Rotate(t7_b, α, edgeAD) → t7_y''''Rotate(t8_p, α, edgeAD) → t8_y''''Rotate(t9_y, α, edgeAD) → t9_y''''Rotate(t10_g, α, edgeAD) → t10_y''''Rotate(t1_g, α, edgeAD) → t1_b''''Rotate(t2_b, α, edgeAD) → t2_b''''Rotate(t3_p, α, edgeAD) → t3_b''''Rotate(t4_y, α, edgeAD) → t4_b''''Rotate(t5_g, α, edgeAD) → t5_b''''Rotate(t6_b, α, edgeAD) → t6_b''''Rotate(t7_p, α, edgeAD) → t7_b''''Rotate(t8_y, α, edgeAD) → t8_b''''Rotate(t9_g, α, edgeAD) → t9_b''''Rotate(t10_b, α, edgeAD) → t10_b''''Rotate(t1_p, α, edgeAD) → t1_p''''Rotate(t2_y, α, edgeAD) → t2_p''''Rotate(t3_g, α, edgeAD) → t3_p''''Rotate(t4_b, α, edgeAD) → t4_p''''Rotate(t5_p, α, edgeAD) → t5_p''''Rotate(t6_y, α, edgeAD) → t6_p''''Rotate(t7_g, α, edgeAD) → t7_p''''Rotate(t8_b, α, edgeAD) → t8_p''''Rotate(t9_p, α, edgeAD) → t9_p''''Rotate(t10_y, α, edgeAD) → t10_p''''Rotate(t1_b, α, edgeAD) → t1_g''''Rotate(t2_p, α, edgeAD) → t2_g''''Rotate(t3_y, α, edgeAD) → t3_g''''Rotate(t4_g, α, edgeAD) → t4_g''''Rotate(t5_b, α, edgeAD) → t5_g''''Rotate(t6_p, α, edgeAD) → t6_g''''Rotate(t7_y, α, edgeAD) → t7_g''''Rotate(t8_g, α, edgeAD) → t8_g''''Rotate(t9_b, α, edgeAD) → t9_g''''Rotate(t10_p, α, edgeAD) → t10_g''''Rotate(t1_b'''', α, edgeMN) → t1_b'''''Rotate(t2_y'''', α, edgeMN) → t2_b'''''Rotate(t3_p'''', α, edgeMN) → t3_b'''''Rotate(t4_g'''', α, edgeMN) → t4_b'''''Rotate(t5_b'''', α, edgeMN) → t5_b'''''Rotate(t6_y'''', α, edgeMN) → t6_b'''''Rotate(t7_p'''', α, edgeMN) → t7_b'''''Rotate(t8_g'''', α, edgeMN) → t8_b'''''Rotate(t9_b'''', α, edgeMN) → t9_b'''''Rotate(t10_y'''', α, edgeMN) → t10_b'''''Rotate(t2_g'''', α, edgeMN) → t2_y'''''Rotate(t1_p'''', α, edgeMN) → t1_y'''''Rotate(t2_b'''', α, edgeMN) → t2_g'''''Rotate(t1_g'''', α, edgeMN) → t1_g'''''Rotate(t3_b'''', α, edgeMN) → t3_y'''''Rotate(t4_y'''', α, edgeMN) → t4_y'''''Rotate(t5_p'''', α, edgeMN) → t5_y'''''Rotate(t6_g'''', α, edgeMN) → t6_y'''''Rotate(t7_b'''', α, edgeMN) → t7_y'''''Rotate(t8_y'''', α, edgeMN) → t8_y'''''Rotate(t9_p'''', α, edgeMN) → t9_y'''''Rotate(t10_g'''', α, edgeMN) → t10_y'''''Rotate(t3_y'''', α, edgeMN) → t3_g'''''Rotate(t4_p'''', α, edgeMN) → t4_g'''''Rotate(t5_g'''', α, edgeMN) → t5_g'''''Rotate(t6_b'''', α, edgeMN) → t6_g'''''Rotate(t7_y'''', α, edgeMN) → t7_g'''''Rotate(t8_p'''', α, edgeMN) → t8_g'''''Rotate(t9_g'''', α, edgeMN) → t9_g'''''Rotate(t10_b'''', α, edgeMN) → t10_g'''''Rotate(t1_y'''', α, edgeMN) → t1_p'''''Rotate(t2_p'''', α, edgeMN) → t2_p'''''Rotate(t3_g'''', α, edgeMN) → t3_p'''''Rotate(t4_b'''', α, edgeMN) → t4_p'''''Rotate(t5_y'''', α, edgeMN) → t5_p'''''Rotate(t6_p'''', α, edgeMN) → t6_p'''''Rotate(t7_g'''', α, edgeMN) → t7_p'''''Rotate(t8_b'''', α, edgeMN) → t8_p'''''Rotate(t9_y'''', α, edgeMN) → t9_p'''''Rotate(t10_p'''', α, edgeMN) → t10_p'''''
AI 绘图提示语参考
绘制一个巴拉维尔立方体及其展开图。先构造一个立方体,以其一条棱的中点为起点,在相邻面上依次生成一系列共边的菱形网格,每个菱形的边长按比例递减,形成螺旋状嵌套结构。随后将立方体展开为平面网,并在展开后的各个正方形面上重复同样的菱形嵌套图案,同时保留各面之间的连接关系,最终呈现一个由多个相似菱形层叠构成的立体与平面展开对照图。
以上提示语为根据原始绘图命令整理而来,仅供参考。