This article reviews the work and the artistic and architectural context of the artist Gordon Matta-Clark. It checks the context as well as the urban and social conditions of his interventions, to place these works in contemporary culture. In particular this paper analyzes “Splitting”, Matta-Clark´s work that synthesizes his critical attitude to the Modern condition; using computational techniques of geometric modeling, visualization, graphics, digital manufacturing and structural analysis to explore and determine the formal rules and materials used by the artist to develop actions with significant spatial and social connotations.