Symmetry means repetition. A basic pattern must be repeatable in two and three
dimensions. If it has only rotational symmetry, it has no great use. Herein
comes the rub. A pattern that has a five-fold symmetry is not repeatable in space
with pure rotation symmetry alone. That does not mean we can not have motifs that
have five-fold symmetry as repeating units. However the overall symmetry is not
five-fold. Here is a five-fold star pattern that I tried to repeat in space.
Disclaimer - Not responsible if the pattern begins to dance before your eyes 
Enjoy. Regards! - mOhana
