What is the difference between the slicer blade and the thin blade? Which should be used with the floating tray?

The slicer blade and the Mega blade are closer to the same type than the thin blade like the Dichroic blade. If you picture a teardrop shape; on the slicer blade the pointed part of the teardrop is the leading edge of the blade so it slices through material very quickly and easily. On the Mega blade the round part of the teardrop shape is the leading edge so it goes through thicker material more easily. The thinner blades like the dichroic blade are only meant for thinner material as they do not have as much diamond surface on them. The slicer blade is the best option for the automatic cutting table.