Take day six to head out of town to one of Munich's best environs: Herrenchiemsee. Gorgeously situated on Lake Chiemsee, Herrenchiemsee is a royal compound built by "Mad" King Ludwig II as his homage to Louis XIV of France.
Neuss Schloss is the main palace, and it was intended to be a grander version of Versailles, complete with its own Hall of Mirrors. Ludwig died before the palace was done, leaving only the center portion complete and numerous rooms unfinished.
The palace is open for tour year round, and it is easily accessible by train, and then by lake ferry.