The pilot of a Beech S35 stated that he departed on an instrument flight rules flight in visual flight conditions, from Texas to Alabama, without filling the fuel tanks. He climbed to his cruising altitude, and flew on the right main fuel tank until the fuel was exhausted. He switched the fuel selector to the left main fuel tank and requested a lower altitude from air traffic control (ATC). During the approved descent the engine lost power. He turned on the boost pump and the engine continued to windmill. The pilot stated that he did not engage the starter because he expected the engine to start. He switched the fuel selector back to the right main fuel tank, then left main fuel tank, and back to the right main fuel tank. The engine did not start and the left main fuel tank gauge indicated low. He checked the global position system for the nearest airport, cancelled his instrument flight plan with the air traffic controller, and continued direct to the airport, entering a left downwind while descending. The engine attempted to start and stopped. The pilot turned base, and lowered the landing gear very close to the ground after clearing trees. The left wing stalled, the left wing tip and nose of the airplane collided with the ground, and the airplane came to a complete stop upright. The pilot further stated, "As far as I can tell, I landed without fuel."