This is Tonya. I love everybody's work - ya'll are more motivated than I have been lately.
Jacquie has made a great vase and intends to put log cabin flowers in it. I love it. Here are a couple of different ways that I can think of to put it all together. First off would be to make longer stems and add strips of background fabric to each side of the stem. Attach that to the bottom of the flower and add some background at the top of the flower too. Do that for both flowers. Then on one flower add a wider strip of background. You'd end up with something like this:
Then you'd slice across the unit that has the additional background. Do that at an angle, then add the other flower. Voila. You'd add background to both sides of the flowers, then you can add them to the vase. I also played around here with adding an additional lip to the top of the vase to make the opening wider.