Thanks so much for the comments. I was nervous about posting as I feel my work pales in comparison to most people here. I have another one in the very early stages of creation. I will take pictures as I go and post them (with explanation) for those who wanted to know how it was done.
The one pictured was maple and walnut, it was about 2.75 inches in diameter and 3" high, the bottom finial was about 3" and the top finial about an inch. I will be sure to take measurements of the next one.
Sorry for the delay, but I finally got a chance to post the pictures I promised for those who were wondering how this ornament was done.
After turning it to the shape you want lay out as many index lines as you want. Personally I use 12 as I think more than that would make the openings too small. Then connect the lines in a shape you like. For these I just used straight lines and skipped every other line. After hollowing using standard techniques you will cut out the area between the lines. This is colored in red in the picture. The key here, if you want your ribs to be round, is to make your wall thickness the same thickness as the ribs. In the one pictured the ribs were 0.2" wide, so I made the walls 0.2" thick. Personally I use a dremel with a spiral cutting bit to do this, but there are probably other methods that would work. (top picture, right column)
After cutting the ribs will be rough. Much like any other cutting project like this I like to stay outside the layout line. (second picture, left column) You might want to be careful who you show the project to at this point. When my wife say my first one her response was "Boy, you really messed up a nice hollow form!"
Sand the ribs to the layout lines. (I use the small drum sander on the dremel, but you could use the large one if there is enough space between the ribs. Some hand sanding also helps at this point. After you are done the ornament looks much "cleaner". (second picture, right column)
Everything else is by hand, and worth it. But I suppose if someone wanted to they could call it finished at this point and avoid the hand work. Wrap cloth backed paper around the ribs and sand them to round. I find that wrapping one direction, then the next, helps keep the ribs round. (third picture, left column)
Sand to your desired grit, and once finished part from the tenon, do the finials, finish, and viola! (third picture, right column. This was taken before parting)
That's all there is to it, hope that helps those who were asking, and have fun!