Long Leaved Dayflower

SukanyaDatta, no problem. Sometimes I head right to the description/habitat/notes without looking at the title. Need to start from the top of the page. We have flowers like yours here in Minnesota but they are much darker blue and on upright stems except for the introduced dayflower which is lax.

SukanyaDatta, hmm, I'm wondering if I did not read the title but went straight to your description ("strange flower") instead.

I'm not sure of the species or even genus but this looks like a plant in the Commelinaceae (spiderworts, dayflowers).