We adapted the backmapping procedure from the Martini coarse-graining framework for the LLC system. The Martini framework ships backward.py on their website, 66 which applies a geometric approach to transform the CG model to an atomistic model. This geometric approach carefully places atoms near the locations of their corresponding CG beads and runs a series of minimization and MD steps to ensure the new structure satisfies the desired atomistic force field. We incorporated GAFF into this procedure and designed mappings that reasonably space the atoms between bead locations (see the SI Fig S4 for more details on the mappings of each molecule). We used Python 2.7 (as the code was originally written then) and Gromacs 2018 (as later versions are not fully compatible with the script) for the backmapping procedure. We then equilibrated the backmapped all-atom model for 500 ns to ensure the system finds a stable gyroid configuration.