This origami box represents a flower of the genus Houstonia, also known as bluets or Quaker Ladies. Some species, in particular Houstonia caerulea have four petals which is relatively rare among flowers. However, it is very convenient for the origamist who wants to fold from a square.
The flower can also be tessellated, with each molecule taking up a 12×12 grid. After designing it, I found a similar model by Ilan Garibi, called Criss Cross Tessellation, but as you see, in my model the center of the flower is locked together while in Ilan’s, both ends of each petal are free.