Beetle movement clarification
Here is a quote from book Play Hive Like a Champion: Strategy, Tactics and Commentary by Randy Ingersoll with foreword by John Yianni, Designer of Hive.

According to section 2.2, page 6:


  Note that the ability to climb on
  the hive can be thought of as a circumvention of the Freedom
  to Move rule, but while moving on the same level the Beetle
  is subject to the Freedom to Move rule.


It is pretty clear, that contrary to Steve's answer, the yellow route is not a legal move.

There is also a good discussion of beetle move rules here

See similar question answered here