[Inkscape-user] "Fragment" Operation

Is there any way to perform a "fragment" operation in inkscape?

Specifically, if you have multiple overlapping shapes, they all cut each other where they cross.

For example, for two overlapping circles, you would end up with two crescents and a lens shape filling the space between.

It is relatively easy to do this for two shapes (Duplicate, and perform an intersection, then on the original perform an exclusion followed by a break apart) but for a larger number of shapes the operations grow exponentially.

Thanks -

-Rob A>