CONSTRUCTING ANY REGULAR
P O L Y G O N

Here is the algorithm for constructing any N-GON.

Step 1. Draw a diameter AB through circle O. Divide AB into N number of points (see dividing segments). Note the second point from the left.
Step 2. At point A, construct a circle with radius AB, and at point B, construct a circle with radius BA. Circle A and Circle B intersect at C.
Step 3. Connect C to the second point on the left. The extended line intersects circle O at D.
Step 4. AD is the side length of the N-gon. Use it to find the other points.

© 2002 Robin Hu