  (i) Uncountably many synchronized reflected Brownian motions can hit the
boundary of a $C^2$ domain at the same time. (ii) Measures associated to local
times of two synchronized reflected Brownian motions are mutually singular
until the time when the normal vectors at the reflection locations become
identical. (iii) Mirror coupled reflected Brownian motions can simultaneously
hit opposite sides of a wedge at different distances from the origin.
