莱昂纳多·达·芬奇与最后的晚餐
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所属专题
geometriadinamica.es
①本范例通过动态演示几何图形构造,模拟莱昂纳多·达·芬奇名作《最后的晚餐》中的构图布局;②涉及核心数学概念包括几何作图、坐标几何、相似变换、分形几何;③构造过程中运用了Line(直线)、OrthogonalLine(垂线)、Point(点)、Dilate(缩放)、Circle(圆)、Intersect(交点)、Polygon(多边形)、Midpoint(中点)、Segment(线段)、CircleArc(圆弧)等GeoGebra命令与对象;④适合高中及以上数学爱好者、几何作图教学与艺术几何交叉研究。
GeoGebra 命令及参数
Line(H1, H2) → aOrthogonalLine(A, a) → cLine(A, a) → bPoint(b) → BOrthogonalLine(B, b) → fDilate(B, pr, A) → DilCircle(A, Dil) → dIntersect(d, c) → D5, COrthogonalLine(C, c) → eIntersect(f, e) → DIf(paso > 0 ∧ paso < 7, 1, 0) → t_1If(paso > 1 ∧ paso < 7, 1, 0) → t_2If(paso > 2 ∧ paso < 7, 1, 0) → t_3If(paso > 3 ∧ paso < 7, 1, 0) → t_4If(paso > 4 ∧ paso < 7, 1, 0) → t_5If(paso > 5 ∧ paso < 7, 1, 0) → t_6Polygon(A, B, D, C) → P, a_1, b_1, d_1, c_1Point(b_1) → W_2Midpoint(A, B) → FCircle(A, F) → gCircle(B, F) → hIntersect(g, c_1) → E,Intersect(h, b_1) → G,Segment(E, G) → iOrthogonalLine(B_1, a_1) → jPoint(j) → HCircleArc(A, H, E) → kCircleArc(B, G, H) → pIntersect(j, i) → ISegment(H, I) → lOrthogonalLine(B_2, a_1) → mPoint(m) → KMidpoint(A, K) → LMidpoint(K, B) → MOrthogonalLine(M, a_1) → nOrthogonalLine(L, a_1) → qIntersect(i, q) → NIntersect(n, i) → OSegment(N, L) → rSegment(O, M) → sSegment(K, E) → f_1Segment(K, G) → g_1Intersect(m, i) → QSegment(Q, A) → tSegment(Q, B) → e_1Circle(N, N1) → h_1Circle(N, N2) → k_1Circle(N, N4) → q_1Circle(N, N5) → r_1OrthogonalLine(B_3, a_1) → i_1Point(i_1) → SPoint(i_1) → TPoint(i_1) → UPoint(i_1) → VPoint(i_1) → WPoint(i_1) → YOrthogonalLine(G, i_1) → j_1Point(j_1) → ZPoint(j_1) → C_1Point(j_1) → D_1Point(j_1) → E_1Point(j_1) → F_1Circle(O, F_1) → p_1Circle(O, E_1) → s_1Circle(O, D_1) → c_2Circle(O, C_1) → d_2Circle(O, Z) → e_2Circle(L, V) → f_2Circle(L, U) → g_2Circle(L, T) → h_2Circle(L, S) → k_2Circle(L, Y) → p_2Intersect(i_1, j_1) → H_1Circle(L, H_1) → q_2Intersect(g_2, a_1) → I_1, J_1Intersect(f_2, a_1) → K_1, L_1Intersect(h_2, a_1) → M_1,Intersect(k_2, a_1) → N_1,Intersect(p_2, a_1) → O_1,Intersect(q_2, a_1) → P_1,Intersect(p_1, s) → Q_1,Intersect(s_1, s) → R_1,Intersect(c_2, s) → S_1,Intersect(d_2, s) → T_1,Intersect(e_2, s) → U_1,Segment(Z, L_1) → l_1Segment(C_1, J_1) → m_1Segment(M_1, D_1) → n_1Segment(E_1, N_1) → a_2Segment(O_1, F_1) → b_2Segment(Q_1, Y) → i_2Segment(S, R_1) → j_2Segment(S_1, T) → l_2Segment(U, T_1) → m_2Segment(V, U_1) → n_2OrthogonalLine(B_4, a_1) → r_2Line(W_1, r_2) → s_2Line(Y_1, r_2) → a_3Line(Z_1, r_2) → b_3Point(s_2) → C_2Point(s_2) → D_2Point(r_2) → E_2Point(r_2) → F_2Point(a_3) → G_2Point(a_3) → H_2Point(b_3) → I_2Point(b_3) → J_2Polygon(C_2, I_2, J_2, D_2) → P_2, c_3, i_3, j_3, d_3Polygon(E_2, G_2, H_2, F_2) → Q_2, e_3, g_3, h_3, f_3Line(B_5, a_1) → k_3Point(k_3) → K_2Segment(K_2, E) → l_3Segment(K_2, N) → m_3Segment(K_2, N1) → n_3Segment(K_2, N2) → p_3Segment(K_2, D_1) → q_3Segment(K_2, N4) → r_3Segment(K_2, N5) → s_3Segment(K_2, O) → a_4Segment(K_2, G) → b_4Line(B_6, a_1) → c_4Point(c_4) → L_2Point(c_4) → M_2Point(c_4) → N_2Point(c_4) → O_2Circle(M_2, ra) → d_4Circle(L_2, ra) → e_4Circle(N_2, ra) → f_4Circle(O_2, ra) → g_4Midpoint(N, L) → R_2OrthogonalLine(R_2, c_1) → h_4Intersect(c_1, h_4) → S_2Intersect(b_1, h_4) → T_2Segment(S_2, T_2) → i_4Point(c_1) → U_2Segment(K_2, U_2) → j_4Segment(K_2, W_2) → k_4
AI 绘图提示语参考
绘制一幅受达芬奇《最后的晚餐》启发的几何构图作品。先在画面中确定一条水平基准线,在其上方设定消失点位置。通过消失点向画面底部两个角点绘制辐射线,形成透视框架。以两个底角为端点绘制弧线交于上方一点,围合成梯形人物布局区域。在梯形内绘制中垂线和平行线形成网格结构,再以关键节点为圆心绘制多个同心圆和圆弧,形成具有放射对称性的装饰图案。整体构图强调水平垂直线条与圆弧曲线的对比,体现文艺复兴时期绘画的透视原理和几何美感。
以上提示语为根据原始绘图命令整理而来,仅供参考。