Multiplication table of shapes

I congratulate Tai-Danae Bradley for her excellent mathematics blog. In this blogpost she has a wonderful drawing about the multiplication of shapes.

“Given any two shapes $X$ and $Y$, their product $X$ is the shape whose vertical cross sections look like $Y$and whose horizontal cross sections look like $X$  Also notice that the point acts like a multiplicative identity: a point times a shape is just the shape. ”  – Tai-Danae Bradley