From swinging normally (facing away from the platform). Swing back to the backend, and rise up into your set. Relax your legs slightly so that instead of staying forwards with your hips close to the bar, they drift back slightly so your feet are over the platform. At the peak, turn your head and let go with one hand to grab one of the platform supports. Let go of the bar with the other hand and drop down onto the platform.
You can find out more about this trick in my books: