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')

    # Based on the orthographic views:
    # Top View (top-left): A square with an inscribed triangle and a center line.
    # Front View (bottom-left): A single horizontal line.
    # Right View (bottom-right): A square with a dashed diagonal.
    
    # This combination describes a flat square plate that has been folded.
    # Specifically, it's a square sheet [0,6]x[0,6] in the XY plane that is 
    # folded along the lines from (0,0) to (3,6) and (6,0) to (3,6).
    # However, for the Front View to be a single line, the entire object must 
    # project to a line on the XZ plane, meaning Z must be 0 for all points.
    # But the Right View shows height (a square), which is a contradiction 
    # unless the "line" in the front view is actually the base of a vertical 
    # structure that is very thin, or the layout of views is non-standard.
    
    # A common interpretation for this specific puzzle is a "folded plate" 
    # or a wireframe model. Let's reconstruct the most likely 3D wireframe/surface:
    # A square base with a vertical triangular "fin" or a pyramid-like structure 
    # where some views are simplified.
    
    # Vertices for a shape that matches the Top and Right views:
    # Base: (0,0,0), (6,0,0), (6,6,0), (0,6,0)
    # Peak: (3,6,6)
    
    faces = [
        # 1. Bottom square base
        [[0,0,0], [6,0,0], [6,6,0], [0,6,0]],
        
        # 2. Left sloped triangular face
        [[0,0,0], [3,6,6], [0,6,0]],
        
        # 3. Right sloped triangular face
        [[6,0,0], [3,6,6], [6,6,0]],
        
        # 4. Front sloped triangular face
        [[0,0,0], [6,0,0], [3,6,6]],
        
        # 5. Back vertical triangular face
        [[0,6,0], [6,6,0], [3,6,6]]
    ]

    # Create the 3D polygon collection
    poly3d = Poly3DCollection(faces, facecolors='#4C99D1', linewidths=1.5, edgecolors='black', alpha=0.8)
    ax.add_collection3d(poly3d)

    # Set axes limits
    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 viewing angle
    ax.view_init(elev=30, azim=-60)

    # Force equal proportions
    ax.set_box_aspect([1, 1, 1])
    
    plt.title("3D Reconstruction: Folded Plate / Asymmetric Pyramid", fontsize=14, pad=20)
    plt.tight_layout()
    plt.show()

if __name__ == "__main__":
    plot_3d_figure()