That flower on the "Smile" card is one that caused me great consternation. Melissa Laverty, at fancymelissa.blogspot.com, had an awesome youtube tutorial on it. She calls them pinwheel flowers, if you go in search of hers. There has been debate. Many believe they are fan flowers. Let's just call them flowers and you can fill in your descriptor.
I can't always access youtube (so tired of that "error" message), so I created some flowers and took pictures and put instructions along the way. Allow me to share. I like to print off these kind of things and keep them in a techniques folder/file/binder so that I can get my instructions when I'm away from a computer. Yep. I'm old school like that. You might even notice that I put two spaces after my end sentence punctuation. It's amazing that I can blog...what with all this old-fashioned technology training in my brain!
Next, accordion fold each square. These folds should be of equal size (or you will have an uneven flower) and be crisp folds. A bone folder is handy to have. You don't HAVE to score the pieces before folding. If you really need the folds to be measured, go ahead and score. I just eyed them and they came out okay.
Next, fold each square in half.
Put some strong adhesive (I used Scor-Tape here) on one of the inner sides of this folded accordion square. Then adhere it together, creating a fan that is one-quarter the circle.