I'm not sure I understand the question... but, if you're dealing with a "perfect" hexagon (I believe you mean one with equal sides and equal angles (120 degrees)), then I think the simplest way to describe that hexagon in 2-d space would be with four values (x_c, y_c, l_s, θ):

• x_c is the x-coordinate of the center of the hexagon
• y_c is the y-coordinate of the center of the hexagon
• l_s is the length of a side of the hexagon
• θ is the angle (measured from the x-axis) of the tilt of the hexagon

A tilt of 0 degrees would mean the hexagon looks like:

 _
/ \
\_/
[download]

where a tilt of 90 degrees would mean the hexagon looks like:

/\
||
\/
[download]