Rhizome is the result of the formal investigation of the rhizome concept developed by Deleuze and Guattari in his book Thousand Plateaus. The idea of rhizome is interesting insofar as it contains a subversive potential with respect to the hierarchical forms of organization, which tend toward standardization and control. For its part, the rhizome offers a generative and open form that can be understood almost as a formal archetype in multiple biological and ecological forms, from the organization of galaxy clouds to the molecular level of proteins in living organisms. The purpose of the work is to advance the development of the biological architecture through the design of a rhizomatic artificial structure that is capable of promoting the growth of a rhizomatic biological structure, such as grass. The idea of a rhizome expressed in philosophical terms is currently a fundamental conceptual element in Guzman's work, since it constitutes the type of relationships that should be expressed in explanatory work such as the one presented here. In the work, a polycaprolactone structure was contained in a transparent cube of plexiglass, this structure supported a crop of grasses, which fed both the moisture and nutrients contained in the transparent cube, and the emissions of carbon dioxide generated inside the building of the Edinburgh Center for Carbon Innovation.