Three blocks, called HHH, LLL and KKK exist. A medium purple pentagon and a large purple hexagon are inside and touching block LLL. Block LLL covers a large grey hexagon and has a medium grey star. A medium purple hexagon is to the east of the medium grey star and is north of the medium purple pentagon. North of and to the east of the medium grey star is the medium purple pentagon. The medium purple hexagon is inside block LLL. The large grey hexagon touches the large purple hexagon. Block KKK contain a large purple hexagon and a large red star. A large red pentagon and a little red hexagon are inside and touching this block. A medium grey hexagon is to the west of the little red hexagon. The medium grey hexagon is inside block KKK. The large purple hexagon is to the north of the large red pentagon. North of the little red hexagon is the large red star.
What is the position of the large grey hexagon relative to LLL?