In another thread one was puzzled with drawing a pentagon with compass and straight edge. The fundamental problem with some geometric approaches is that the method was not something most people would say: this is the way I will arrive at that answer. One poster even suggested it took many years to puzzle out drawing a regular pentagon with straight edge and compass. With that problem in mind I looked on the web and found a puzzling method to draw a regular pentagon. Although it works, the rationale behind it is not necessarily lucid. So, I have considered the problem and found a comprehensible solution. To draw a regular pentagon, first draw a straight line. On that line make 11 equidistant marks. Draw a circle of radius 5 marks centered at the center mark. Recenter the compass at the first mark on the left edge of the circle. Draw arcs originating from each mark on the line to the edge of the circle. The arcs intersect the circle at 18 points, 9 on top and 9 on bottom. Along with the intersection points of the line and circle, there are 20 total equidistant points on the circle. Use those 20 points to draw a square, pentagon, decagon or even a 20 sided regular polygon. May my solution might help those puzzled by geometry and the Egyptian methods other people pose: papyrus was found where instructions were given to compute a quantity but no reason for the method was on the same papyrus. Any other queries that puzzle people may or may not have a solution. Pose it. For a fee, I'll give you an answer. JMG.