The Prism-Expanded Dissected Cuboctahedron is a that has a convex hull, but not all faces of that hull are regular. This particular toroid was discovered by Alex Doskey, which he named the Prism-Expanded Dissected Cuboctahedron. He explains the process used to create this polyhedron (and other "Doskey Toroids") on his Prism Expansions page. The name is derived by starting with a "dissected cuboctahedron", which is the cuboctahedron dissected into 6 square-based pyramids and 8 triangle-based pyramids (tetrahedra). Alex Doskey notates this dissection as B4 ≈ 6Y4 ⊕ 8Y3. The pyramids from the dissection are then separated from each other by one unit length, then a triangular prism is inserted between each pair corresponding faces (for a total of 24 prisms inserted).