import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d.art3d import Poly3DCollection

def plot_3d_figure():
    fig = plt.figure(figsize=(10, 8))
    ax = fig.add_subplot(111, projection='3d')

    # Define the 12 exterior faces of the object based on the orthographic views
    # Coordinates are defined as [X, Y, Z]
    faces = [
        # 1. Bottom face (U-shape footprint)
        [[0,0,0], [2,0,0], [2,4,0], [4,4,0], [4,0,0], [6,0,0], [6,6,0], [0,6,0]],
        
        # 2. Back face (Flat vertical wall)
        [[0,6,0], [6,6,0], [6,6,6], [0,6,6]],
        
        # 3. Top face of the back wall
        [[0,4,6], [6,4,6], [6,6,6], [0,6,6]],
        
        # 4. Front face of the back wall (visible in the middle gap)
        [[2,4,0], [4,4,0], [4,4,6], [2,4,6]],
        
        # 5. Front face of the left leg (Trapezoid with diagonal top)
        [[0,0,0], [2,0,0], [2,0,6], [0,0,3]],
        
        # 6. Front face of the right leg (Trapezoid with diagonal top)
        [[4,0,0], [6,0,0], [6,0,3], [4,0,6]],
        
        # 7. Top sloped face of the left leg
        [[0,0,3], [2,0,6], [2,4,6], [0,4,3]],
        
        # 8. Top sloped face of the right leg
        [[4,0,6], [6,0,3], [6,4,3], [4,4,6]],
        
        # 9. Leftmost face (L-shape profile)
        [[0,0,0], [0,6,0], [0,6,6], [0,4,6], [0,4,3], [0,0,3]],
        
        # 10. Rightmost face (L-shape profile matching the Right View inner lines)
        [[6,0,0], [6,6,0], [6,6,6], [6,4,6], [6,4,3], [6,0,3]],
        
        # 11. Inner side face of the left leg
        [[2,0,0], [2,4,0], [2,4,6], [2,0,6]],
        
        # 12. Inner side face of the right leg
        [[4,0,0], [4,4,0], [4,4,6], [4,0,6]]
    ]

    # Create the 3D polygon collection
    poly3d = Poly3DCollection(faces, facecolors='#4C99D1', linewidths=1.5, edgecolors='black', alpha=0.85)
    ax.add_collection3d(poly3d)

    # Set axes limits to match the bounding box
    ax.set_xlim([0, 6])
    ax.set_ylim([0, 6])
    ax.set_zlim([0, 6])

    # Set labels
    ax.set_xlabel('X (Width)')
    ax.set_ylabel('Y (Depth)')
    ax.set_zlabel('Z (Height)')

    # Set a viewing angle that clearly shows the sloped legs and the U-shape
    ax.view_init(elev=25, azim=-55)

    # Force the axes to have equal proportions
    ax.set_box_aspect([1, 1, 1])
    
    plt.title("3D Reconstruction from Orthographic Views", fontsize=14, pad=20)
    plt.tight_layout()
    plt.show()

if __name__ == "__main__":
    plot_3d_figure()