Is there a connection between loci [in math] to fractal (patterns) [in physics]?!
"Loci" (plural of "locus") simply means sets of points that satisfy some condition. A "locus" can be as simple as a line or a circle. A set is "fractal" if it has fractional "generalized dimension" such as the "box counting dimension" or "information dimension".
Not, perhaps, in the sense that you seem to be getting at. I'm sure you could find a fractal that has the appearance of a snowflake. But a fractal does not cover an area, nor does it contain straight lines. There is always a "texture" to the fractal: a straight line would break down into an infinitely detailed collection of "dots."
-Dan