Final answer:
Rem Koolhaas approaches program in his designs by integrating flexible and interactive spaces, as seen in the Seattle Public Library's design which features adaptable 'floating platforms' for varied use and community engagement, embodying the ethos of contemporary architecture.
Step-by-step explanation:
Architect Rem Koolhaas often approaches program in his designs by segmenting and layering different functional spaces to promote flexibility and interaction within a building. In the context of the Seattle Public Library, Koolhaas's design philosophy was implemented by crafting a library that functions not just as a repository of books, but as a public space that encourages a multitude of activities and uses.
Koolhaas's dynamic, user-focused design becomes apparent in the library's varied spatial arrangements that support both focused study and public gathering, with an iconic exterior that invites community engagement and reflects the contemporary ethos of the city.
This approach is in line with the broader contemporary architecture movement that considers how spaces can be adaptive and responsive to the changing needs of people and communities. This manifests in the library's unique 'floating platforms,' which serve multiple functions and transform according to the different requirements of library users. The programming of the Seattle Public Library is indicative of a modernistic perspective on design, where the function and form are intricately interwoven to serve diverse community needs while retaining aesthetic quality.