Actually, you can see the spider in the web, and it is not a box shape, but a regular spider body. (look close at the photo). What I thought was a design in the web (the darker areas) is actually the spider.
Thanks for your comment. :-)
Spiny Orb Weaver Spider by: Moni
Paula
Great job figuring out what you saw. I was going to say a spider web before I read you last comment. A little research says it is a Spiny Orb Weaver Spider.
Here is the web site that tells about your critter.
http://edis.ifas.ufl.edu/in324
What an interesting find! Amazing critters we have out in nature!
Ghostly Flying Carpet by: Paula
I see now that I have examined all the photos (I took 22 burst shots), that this is probably a stabilamenta pattern of an immature Florida argiope web weaver spider. You can actually see the spider, like a ghost on the web. She was vibrating the web so fast that she could not be seen with the naked eye, but when the camera caught her between shakes, she could not hide. :-)
At least, this is my idea. I would appreciate any comments and to nail down what kind of spider it is exactly.