Here's the basic Melon Basket, also known as a ribbed basket. I tried to make it flat on one side to sit against the pole.... it sorta works!
Here's a Round Basket with a 3 by 3 base. In the end I got tired of the simple alternating weave (can't remember the name of that one) so I did a French Rand for the upper part. I love that one... so even and beautiful. Finished with a 5 by 2 rod border. We'll be making a version of this with the homeschoolers this Friday. Maybe a little shorter, as this one took me 3 hours to make and they may take longer, it being their first.