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A novel direct-fabrication technique (robocasting) was used to produce periodic lattices of ceramic rods. The macrostructure is a three-dimensional mesh with controlled porosity in all dimensions but no line-of-sight pathways. These ceramic lattices can function as catalyst supports for gas combustion, and possibly self-regenerating filters for diesel particulates. Compared to the traditional two-dimensional “honeycomb” structured extrudates, the three-dimensional structures have high surface to volume ratios and highly turbulent flow. The flow behaviors of these ceramic lattices and the resulting enhancements in catalytic performance over traditional supports have been demonstrated for propane and methane combustion. Similar tests are underway for the selective catalytic reduction (SCR) of NOx. The potential utility of these structures for diesel particulate trapping will also be discussed.