How do I create a view which uses arbitrarily number of arguments from different vocabularies in the url

I would like to create a view which uses arbitrarily number of arguments from different taxonomy vocabularies in the url.

Ex.

3 different vocabularies: Type, Style, Color

So the view should be able to filter on the following:

1.
view/painting/street-art/blue = show all paintings which has tax terms painting, street-art and blue.

2.
view/street-art/blue = show all nodes which is tagged with street-art and blue.

3.
view/blue = show all nodes which are tagged with blue.

Could anybody direct me in how to do this?

Thanks in advance.