Petunia Hexagon

You'll have to indulge me. My love of geometry has got the better of me today. I cut out a section from the petunia image (See Extra) and made Photoshop do some geometry. I got in a bit of a muddle at one point but eventually sorted out the angle-tangle. 
I have a minor celebration today - only one week left and I can say goodbye to my medical boot.