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Branko Grünbaum studied geometric and combinatorial structures, including uniform polyhedra. His survey on uniform polyhedrals extends the investigation from finite objects to locally finite ones, requiring regular polygonal faces and a single vertex orbit under spatial symmetries.^[ref]

The broader setting admits infinite structures such as rods, slabs and sponges. Explicitly stating which overlaps and coincidences are permitted becomes essential: changing the definition changes the class being investigated. His exposition shows how precise combinatorial and symmetry conditions organize visual geometry.^[ref]