There exist two blocks, named HHH and LLL. In block HHH is block LLL. Block HHH has a medium red pentagon. A large purple pentagon and a medium purple pentagon are inside and touching this block. A medium red star and a large purple hexagon are inside block HHH. The large purple pentagon is west of the medium purple pentagon and is to the east of the medium red pentagon. The medium red star is west of and the medium purple pentagon is east of the medium red pentagon. The medium purple pentagon is south of and to the east of the large purple hexagon.To the west of and near to the large purple hexagon is the medium red star. To the south of this thing is the large purple hexagon. Block LLL has a little purple star. A medium purple star is within this block.
Where is the large purple hexagon relative to the medium red star?