Explore spacetime topological defect networks and Floquet codes in this 45-minute conference talk delivered by Dominic Williamson from the University of Sydney. Dive into the world of noisy intermediate-scale quantum systems as part of the DYNISQ-C22 conference held at the Kavli Institute for Theoretical Physics. Examine topics such as anyons and defects in the toric code, topological order classification, and measurement and dynamics in TQFT. Investigate spacelike defects in toric code, simple Floquet examples, and the Haah-Hastings code. Gain insights into spacetime topological defect networks and explore additional examples like X-cube. Enhance your understanding of integrable models, non-equilibrium dynamics, and their applications in mathematical physics, condensed-matter physics, and string theory.