Answer:
1st: Construct Horizontal line I and point H on line I.
2nd: Construct a circle with its center at point H.
3rd: Label the point of the circle and line I to the left of point H, point J, and label the point of intersection in the circle and line I to the right of point H, point K.
4th: Construct a circle with its center at point J and having radius HJ. Construct a circle with its center at point K and having radius HJ.
5th: Label the point of intersection of circles H and J that lies above line I, point M, and the point of the intersection that lies below line I, point N. Label the point of intersection of circles H and K that lies above line I, point O, and the point of their intersection that lies below line I, point P.
6th: Construct and JM, MO, OK, KP, PN, and NJ to complete regular hexagon JMOKPN. :-)