Shaker Cheese Basket
The Shakers used this to age rounds of cheese. The base is a hexagon with hexagon openings and as the sides are woven it becomes round. Very architectural looking but extremely confusing to make. These baskets can be made in many shapes like a triangle or long oval as in a bread basket.
It isn’t a very strong basket so it’s limited in it’s uses but I think my cat would love laying in it and poking his paws through the openings. It’s used most often as a decorative object hanging on a wall.
A Whole Lot of Weaving 
Nice shape and spacing is very even. Our guild is making a cheese basket in July.
If we post photos I’ll let you know.
I made this last month at Tri-State Basket Guild in Bristol, TN, one of the guilds I belong to. Which guild do you belong to? I would love to see photos and thanks much for the comment.