Spacelike surface families interpolating common asymptotic curves in Minkowski 3-space

In this paper, we propose a method for constructing families of spacelike surfaces in Minkowski 3-space E 1 3 that share Bertrand curves as asymptotic curves. By using marching-scale functions, we derive the necessary conditions, provide flexible formulations, and establish a framework for constructing mutual spacelike Bertrand curves. Examples show how different functions generate surfaces interpolating the common asymptotic curves, offering new insights for geometric modeling and ruled surface theory.