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Hey everyone - I'm working on a project and need to identify this polyhedron.

Please ignore the dark blue regions - the polyhedron in question is comprised of the light blue pentagons and rhombuses.

I am aware that this is an "almost" Rhombic Dodecahedron. It's almost as if it's the Rhombic Dodecahedron, truncated but only from the four-fold axis of symmetry.

We've been calling it a "Rhombo-pentic Dodecahedron" but I'm sure there is an actual name for it somewhere out in the wild.

It consists of eight pentagons and four rhombuses.

Let me know what you think!

It probably doesn't have an official name. There's lots of ways to modify other polyhedra to create something new, and as you noticed this is a modified rhombic dodecahedron. The name you gave it is as good as any.