I decided to directly utilize the pattern work I've been indirectly referencing, and then extrapolate an appropriate logo from the basics of the identity. Patterns are built with strokes which evoke architectural blueprints, and emphasize the structural (rather than the decorative) facets of Islamic ornamentation.
The Girih tiling is a traditional Islamic system first observed in the Darb-e Imam, built in 1453. The pattern is significant because it is non-periodic, allowing it to repeat irregularly, and it pre-dates modern mathematical non-periodic tilings such as the Penrose tiling by hundreds of years. It can be used to construct large patterns that are very adaptable, and visually interesting at any scale, preventing scaling issues from limiting the utility of the basic stroke.