Geometry in Jewellery Design

people want their diamond jewellery look big, but also cheap.

what shape looks big? may be counted on the volume. If the volume is large, than the jewellery looks big.

How to lower the cost? may be less diamond is cheaper. the diamonds are mounted on the surface area. Thus, the surface area is smaller, the jewellery will be cheaper.

So, what shape will give largest volume while lowest the surface area? Yes, a Sphere.

However, some people prefer the cross section projection is big. In this case, a flat surface can do the job.

Similarly, if the diamonds are only mounted on the edge. So what shape gives largest area while lowest parameter? Yes, a Circle.