Since 1983 I have been researching quasi-periodic patterns based on the Fibonacci Lattice, the Penrose Lattice, and the Golden Mean. I have made many quasi-periodic structures, all named “Star Cage,” for one-, two-, and three-dimensional spaces. These designs can be applied both to the architecture of the future and to music. We can actually live in such mathematical structures with delight. ... [Show full abstract] Shown here are a few of my works.