FRACTILES TRUE TESSELLATION
Continuous, space-filling ceramic tile tessellation. Every tile shares 100% of its edges with adjacent tiles without gaps. Prime numbers form ornate Keystone Tiles that trigger recursive fractal subdivisions, driven by aperiodic prime intervals that never repeat.
Unlike point-distribution spirals that leave voids, Fractiles partitions expanding Archimedean ribbons into interlocking quadrilaterals where r_out(θ) = r_in(θ + 2π). This guarantees that successive turns share 100% of their curved seams with zero gaps. Tile lengths are modulated by prime factors, meaning seams never align into repeating radial spokes. Primes trigger recursive fractal subdivision ($2\times2$ and $3\times3$ nested azulejos), creating an authentic non-repeating ceramic floor.