I have a 10 degree wedge ruler that makes a super nice, super fast round play mat--just 36 wedges sewn together and a circle machine appliqued in center (I use a cake pan as my template for the circle). You can mix up the 36 wedges with any number of fabrics. And if the child is older--but don't do with with the little guys!--you can attach a drawstring or cord around the outside with loops or rings and they can pull it together with toys left in center.