In-Between Architecture Computation describes the evolution of the Computational Design approach at the AedasR&D Computational Design and Research group founded in 2004 at Aedas architects in London. The approach has transformed itself from an academic inspired thinking about computing media to a more flexible model of design heuristics and search algorithms that finally start to produce new hybrid design workflows in the industry while also swimming against the industry trend of super-integration software. Only if computing is not exclusively defined through architectural design intent or purely computing logic, does computational design explore new design thinking.