There are getting popularity great Couder's experiments about
classical objects having wave-particle duality: oil droplets on
vertically vibrating liquid surface - constantly creating periodic
waves around - interaction with these waves allows to observe 'quantum
effects':
- interference pattern in double-slit experiment:
http://prl.aps.org/abstract/PRL/v97/i15/e154101
- tunneling depending on practically random hidden parameters:
http://prl.aps.org/abstract/PRL/v102/i24/e240401
- orbit quatization condition - that particle has to 'find a
resonance' with field perturbations it creates - after one orbit, its
internal phase has to return to the initial state: http://www.pnas.org/content/107/41/17515
It's difficult to find good intuition about these experiments from
only static pictures - the first time I had occasion to see videos was
on recent congress on emergent quantum mechanics) where Couder had
the opening lecture and most of speakers were excited about these
experiments. Fortunately I've recently found youtube video of these
experiments:

http://www.youtube.com/watch?v=W9yWv5dqSKk

What do you think about these experiments? About such understanding of
wave-particle duality?
Have particles both natures simultaneously, or maybe only one of them
in one time?