Browsing the web, I came across this pattern, which has a star-like center. It's so cute and easy! The block pattern, called the Handy Andy Quilt Block Pattern, is by Janet Wickell at www.quilting.about.com.
The finished quilt block size is 20" by 20", which is quite large. It would make a good center motif for a larger quilt.
And here is the one that I made using this pattern!
For the complete pattern: