Portfolio that allows multiple images and multiple categories per project

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I'm about to create a new site for the company, Doo Consulting LLC - http://www.DooConsulting.net.

The company is in the commercial building niche (think architecture), where portfolios are stocked with multiple images of a single project. And each of those projects can fall under multiple categories - a residential building with first floor retail, for example, would be categorized as both "Residential" and "Retail," and it might even go under the "Sustainability" category if it were LEED-certified.

Perhaps I can just tag the pages and pull them through using widgets. Or if I need to create a taxonomy, can the page get multiple categories assigned to it?

How can I implement this in StudioPress? I am looking at using the Minimum theme, but if it precludes this functionality, I may need to choose a theme that can do what I describe.

Again, the functionality/solution I'm looking for needs to provide both multiple categories per project and multiple photos per project.

Thanks for your help.

Matt