Comment Re:Physical fractals? (Score 1) 74
You're missing the fractional dimensionality clause and the part about being self-similar at different scales... your description applies to pretty much any lattice not just fractals.
You're right about self-similarity, but I wonder whether quasicrystals don't have some statistical properties that are constant across scales... Actually, I've just googled it:
Self-similarity of Quasi-periodic lattice (Sun Jirong, 1996) : http://cpl.iphy.ac.cn/qikan/manage/wenzhang/0090419.pdf
Quite a mathematical paper. Oh, and this also looks interesting (nice pictures, also):
Wallpaper patterns with self-similar and graph-directed fractal lattice units (Deniz et al, 2011) : http://www.mi.sanu.ac.rs/vismath/ozdemirsept2011/Wallpaper.pdf