Three blocks, named HHH, LLL and KKK exist in the image. To the south of block LLL is block KKK. Block LLL is disconnected from this block. A little grey star and a little purple star are within block HHH. The little grey star is west of the little purple star. A little red hexagon is within block LLL. Block KKK have a medium red hexagon and a medium pentagon. A large grey hexagon is inside and touching this block. The medium red hexagon is to the west of and this thing is to the east of the pentagon.
What is the position of the large object regarding block LLL?