Parallel solar panels with LTC3105

Is it possible to parallel solar cells for use with a single LTC3105? Something like below.

A little background: The device is a cube, with solar panels mounted on each face. The idea is that in a given plane, only one of the panels will be illuminated whilst the other is in darkness.

Also, I'm not sure if the diode should be on the SHDN pin as it is an input pin. Can anyone shed some light?