I could be wrong but I think that you're starting with the floral square, and sewing a light to it, as in your pattern, but then you're sewing a floral as your third piece, whereas in the design its another light. Maybe thats making the difference?
I think they're all the same direction though. When I did the lack and white block swap on here recently I did a log cabin design, and made 11 identical, and 1 with went the opposite direction (clockwise instead of anticlockwise). Luckily since it was for a swap it didnt matter.
They look great either way though. I'm hoping to do a log cabin soon - all the ones I see on here are fantastic and inspiring.