Sphere to Torus 3D Simulation

Interactive 3D simulation of the progressive transformation of a rotating sphere into a torus. The sequence begins with a spherical structure rotating on itself. As the transformation progresses, the polar regions gradually flatten and converge toward the center. When the upper and lower polar regions meet, a central opening begins to form. This opening progressively expands until the structure reaches its final stabilized toroidal shape. The simulation is divided into 12,000 progression steps and includes real-time indicators for flattening, convergence, pole contact, and hole opening. Users can manually control the transformation, adjust its speed and automatic rotation, pause or restart the sequence, and freely inspect the evolving geometry using full 3D camera controls.