We present a method of creating origami tessellations in the style of Ron Resch’s Linear Flower. We designed a process that allows us to construct a crease pattern modeled after any convex uniform tiling by calculating where folds on that crease pattern should be placed to get a desired result when folded. This has allowed us to move beyond Resch’s original square grid and apply it to any Archimedean and k-uniform tiling or their duals.