Highlights of the vast interior include the Royal Chapel , a gem of high Baroque ; the State Apartments , in which Louis XIV used to entertain ; the Salon de Diane , where he would try his hand at billiards ; and the glittering Hall of Mirrors ( Galerie des Glaces ) , 73 m ( 240 ft ) long and built to catch the setting sun in 17 tall , arched panels of mirrors .
The idea of the glittering hall of mirrors came to him in a dream .