The Oddly Angled Room

1. If you solve this without any help at all, my cap is off to you!
2. This maze was meant to confound maze mappers.
3. There are nine rooms. Almost all of the room connections are probabilistic - sometimes they work and sometimes they don't. (If you repeat any direction often enough, you'll travel through all the rooms.)
4. Have you noticed all of the baseball clues: the Babe Flathead bat, "You'll never get past first base at this rate..."?