how to make a perfect hexagon:
step 1: take a line segment and mark the midpoint
step 2: create a circle with its radius being half of the original line segment for each point
step 3: mark all points where the three circles intersect
step 4: ignoring the middle point, the other six points are the vertices of the hexagon, draw lines between them to create your hexagon
(optional) step 5: erase the circles and the original line segment