Explore patterns based on a rhombus. How can you enlarge the pattern - or explode it?
The challenge is to produce elegant solutions. Elegance here implies simplicity. The focus is on rhombi, in particular those formed by jointing two equilateral triangles along an edge.
Can you reproduce the Yin Yang symbol using a pair of compasses?
What shape and size of drinks mat is best for flipping and catching?
Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...
Looking at the picture of this Jomista Mat, can you decribe what you see? Why not try and make one yourself?
Follow the diagrams to make this patchwork piece, based on an octagon in a square.
Jenny Murray describes the mathematical processes behind making patchwork in this article for students.
Have a go at drawing these stars which use six points drawn around a circle. Perhaps you can create your own designs?
Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?
The farmers want to redraw their field boundary but keep the area the same. Can you advise them?
Design and construct a prototype intercooler which will satisfy agreed quality control constraints.