  The problem of Turing pattern formation has attracted much attention in
nonlinear science as well as physics, chemistry and biology. So far all Turing
patterns have been observed in stationary and oscillatory media only. In this
letter we find for the first time that ordered Turing patterns exist in chaotic
extended systems. And chaotic Turing patterns are strikingly rich and
surprisingly beautiful with their space structures. These findings are in sharp
contrast with the intuition of pseudo-randomness of chaos. The richness and
beauty of the chaotic Turing patterns are attributed to a large variety of
symmetry properties realized by various types of self-organizations of partial
chaos synchronizations. Some statistical measurements are performed to confirm
and heuristically understand these findings.
