If we are to rethink architecture now, as we must, we need also to rethink its relations to computation. In homage to Tony Vidler’s “Architecture Dismembered”, this seminar examines the historic, and now uncanny, doubling of architecture with not the body but with the long and inevitable project of computation, itself ironically a project to de-corporealize thought and render it automatic. In the sessions we consider the ideations of architecture and computation as ever-entangled, if not co-constitutive, arguing, tout court, that without architectural imagination the computer would not be the same, and vice versa. A historiographic dismembering of the architect’s various discrete (and indiscreet) machines reveals shared: memory storage and retrieval systems; mechanisms for deletion and forgetting; windows, guns, pens, nozzles; universal languages, algorithms and other compressive strategies in the calculation of true products; taming of chance by prediction. Like Humpty Dumpty, once apart, they will not go back together again and thus complicate beyond retrieval the already waning platitudes of optimisation and digital solutionism. Instead they suggest potential new categories with which to mutually reconstitute architecture’s relations to computation: the appetite; the mediocre; the alienated; the duped and the promise of the automatic.