Edge a quartz countertop according to its use. Choose one of about two dozen options, ranging from square to multiple angles, depending on the location and use of the countertop and its conformity to the décor of the room. Use a a simple "eased" edge with the top slightly rounded for a kitchen, for instance, but an ogee style with several slopes on the edge for a more ornate bathroom.
Pick edges with rounded or beveled tops for area where falling objects or things being moved could bump against the quartz and chip a square corner. Use a bullnose or cushion pattern in a kitchen where pots and pans may bang the edges. Compare full bullnose, which is rounded on both top and bottom, with half-bullnose and cushion edges which are rounded on the top but have a square bottom.
Reserve exotic edges for decorative purposes, such as fireplace mantles or window sills which are less subject to accidental damage; quartz countertops are rugged, but sharp edges can chip. Use more exotic edges, such as a triple waterfall with three rounded surfaces from top to bottom, with thicker tops with more space for design. Avoid square or sharp corners on edges that people may accidentally bump.