Tilings with Fractal Perimeters

Construction

Draw a circle C.
With center the point P1 at the bottom of the circle, with a comapss mark an arc on the circle at P2 using the same radius as the circle C.
Continue to mark arcs using the previous point as the center to obtain points P3, P4, P5, and P6.
Connect the arcs with segments to form the hexagon.
Now erase all the construction lines so only the hexagon remains.
Construction of the hexagon
Next draw the perpendicular bisectors of all the sides.
The perpendicular bisectors of all the sides.

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