Cylindrical? Get reel!
The stripes are left by the roller on the mower, not the blades. My 3 circular blades, 6' total width, are followed by a 6' roller, so I can leave stripes that can be seen from space, but striping is for stupid suburbanites with too much time on their hands. (And I can mow most such yards with one pass up and one pass back, so it's not very well striped.) Meanwhile, I'm composting the clippings back into the yard, thickening the sod.
Reel mowers require a LOT of torque, and are very finicky about being razor-sharp and closely-adjusted against the bed knife. I recommend a flail mower segmented finely, so each section can closely follow the ground, but spinning swords require the least power.
Incidentally, goats have the largest stomach-area/weight ration of any grazer and don't like anything close to the ground, probably an evolutionary adaptation to parasites, so they eat the roses before the grass. And, having had hundreds of ovines, you can only eat a lamb if it has no name. Once the kids name it, it's a pet, not lunch, and you can't house-break sheep. (At least they only leave pellets, about the size of rabbit berries, but they do piss bright yellow.)