A turbine bucket includes a bucket airfoil having a tip shroud with a leading edge comprising two scalloped faces and a trailing edge comprising a third scalloped face defining leading and trailing edge profiles substantially in accordance with Cartesian coordinate values of X and Y as points 1-41 set forth in Table I. The X and Y values are distances in inches which, when respective points are connected by smooth, continuing arcs define the leading and trailing edge tip shroud scalloped profiles. The tip shroud further has first and second, upper and lower, Z form edge profiles substantially in accordance with Cartesian coordinate values of X and Y as points 42-59 and 60-77, respectively of Table II.