Platonic Constructions
Constructing polygons
In the applet shown below, you are given an arbitrary line segment, which we will say has a length of 1 unit.
Using only the following tools construct as many regular polygons as you can. See if you can construct them so that they are inscribed in the unit circle.
1) Circle with Center: To construct a circle, you choose a center point and a point on the circle.
2) Line: To construct a line you choose two points on it.
3) Point: You construct a point at the intersection of two lines/circles.