Constructions

Explain how to construct a regular pentagon accurately using a straight edge and compass.

Can you reproduce the Yin Yang symbol using a pair of compasses?

Construct this design using only compasses

Construct a line parallel to one side of a triangle so that the triangle is divided into two equal areas.

Two perpendicular lines are tangential to two identical circles that touch. What is the largest circle that can be placed in between the two lines and the two circles and how would you construct it?

Follow the diagrams to make this patchwork piece, based on an octagon in a square.

Without using a calculator, computer or tables find the exact values of cos36cos72 and also cos36 - cos72.

Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?