Navigating through custom post types, via taxonomy

For a site that I’m working on, I’ve created both custom post types and custom taxonomies. I would like to display the posts, then allow users to navigate through other posts in that taxonomy. Once they reach the end of the posts in that taxonomy, I would like to have a link to go to the first post in the next taxonomy.

To give a bit more concrete example: I have created a custom post type called “Art”, and a custom taxonomy called “Movement”. So if a user clicks on “Impressionism”, they get the first post in “Impressionism”. Once they get to the last post in the “Impressionism” taxonomy, there would be a link to the first post in the “Post-Impressionism” taxonomy.

Does that make sense?