Describe the characteristic shape and direction of the appendages found exclusively on male Waterbuck?

They curve backward from the head, then sweep outward, curving forward or upward at the tips.

The horns of the male Waterbuck are a distinguishing feature, being entirely absent in females. These appendages develop gradually and are marked by prominent ridges or rings along their length, which contribute to their imposing appearance and signal maturity. The defining geometry involves a clear three-part path: initially, the horns curve backward away from the head structure. Following this backward trajectory, they transition into a sweep that moves them outward. The very tips then terminate by curving either forward or upward, creating a distinctive sweeping shape that can extend up to 100 centimeters in length. This ridged, backward-then-forward curve distinguishes them from the simple spiral horns of some other antelope species.