I see two options.
I always look for the seam lines, so I enlarged the picture (and apologies to the picture owner).
[ATTACH=CONFIG]393631[/ATTACH]
The smaller block unit could be equilateral triangles (60 degrees) cut from a 3 strip strip set that was
color-white-color.
Eight sewn together will make the block. (oops, I missed a green line)
This would leave bias edges all around the outside of the blocks (quarter and larger one)
[ATTACH=CONFIG]393632[/ATTACH]
The other option I see is that it was pieced like Summer in the Park - there's a Missouri Quilt video (now with an annoying dentist commerical):
http://www.youtube.com/watch?v=J5WgTyqB8Pc
Here's a .pdf of the pattern.
https://docs.google.com/file/d/0B5shkCRirc5Sa000b3laT1BRMGc/edit?pli=1
If you can't get to Google Docs directly, there's a link in this blog post (4th paragraph):
http://englandstreet.blogspot.com/2012/10/summer-in-park-free-jelly-roll-pattern.html
While the two strip sets in the video and pattern are different
(one is color-white-color and the other is white-color-white),
if you were to make the two strips sets EXACTLY the same (both color-white-color),
and follow the instructions given for sewing and cutting, you would end up with a block that has SIX stripes - I numbered them on the diagram below (sorry the numbers are so small).
Then you would sew together 4 of those blocks (same coloring) to get the larger block.
Personally, I hate this pattern because of all the bias, but I know MQC has a huge following, so the customers must all not mind it.
If you go this route, I'd suggest starching your fabrics (or at least the strip sets) before cutting the squares.
[ATTACH=CONFIG]393633[/ATTACH]
Anyway, that's what I see when I look at those blocks.
Strange that this post is all so spread out - I couldn't make it more compact.