Higher Education is at an epochal turning point. And so are universities, which have been, for centuries, the core of higher education. In this article, we will argue that the university we need most for “surfing” this epochal crisis is one able to develop organic structures to cope with the dynamic and evolving systemic challenges that the crisis poses to higher education and, at large, humanity. Accordingly, in the following, we will present a case study in evolutionary systems design at the University of Ibagué. We will describe how, beginning with a project seed of a Necessary University, this project has evolved over the last ten years into an organic structure better fit to cope with the dynamics of the crisis. Moreover, this evolutionary approach to systems design allows the university board to have a more systemic comprehension of the crisis and better management of some of the current epochal challenges to Higher Education.