7. Third construction of the pentagram from a golden rectangle.
Add a square onto the side of our original golden rectangle.
The big rectangle is also a golden rectangle. Rotate GF about G and HC about H until they meet at a point which we will call I.
At I draw a circle whose radius is AB and one whose radius is GH.
Extend the line JK until it hits the large circle in two points which we will call N and O. Extend GM and HL until they meet this line also at N and O.