A catalyst carrier may have a cross-sectional shape that may include a plurality of surface channels having a first channel width and a second channel width, where the first channel width may be closer to a periphery of the cross-sectional shape than the second channel width and the first channel width may be less than the second channel width. The cross-sectional shape may further include a plurality of surface features where at least one surface feature is located between at least one pair of surface channels. The cross-sectional shape may further include a ratio LOC/LSCP of at least about 1.7, where LOC is a length of a total contour of the cross-sectional shape and LSCP is a length of an outer simple convex perimeter of the cross-sectional shape.