Infinite Involutions explores the multilateral potentials of involutions which are based on how involutions show different behavior on various scales as expressed through the spatial organization, structure, and details. In this project, the initial topological idea that comes from involution, relies on the logic of continuity and is instrumentalized for the appropriate development of each level of hierarchy in the library as the main program. Using elasticity as the means for design, infinite involutions trigger the discussion of exploring the configuration between architecture and ground rather than the typical construct. Taking into consideration the environment of Venice where inundation of the ground level frequently happens, this library selects a floating system as the means of occupying ground. This project provides a multilateral investigation regarding the potential of continuity in architecture. Ultimately, the logics of spatial organization and the articulation of multi-layered space based on monolithic surfaces will be developed through advanced architectural design technology.