There exist two blocks, called HHH and LLL. Inside block HHH is block LLL with a little pentagon, a medium grey hexagon and a medium purple hexagon. The medium grey hexagon is to the east of a medium red pentagon. The medium purple hexagon is to the south of the little pentagon. To the north of and west of the little shape is the thing that was east of the medium red pentagon. Block LLL covers the medium red pentagon. A medium grey pentagon is inside and touching this block. South of the medium grey pentagon there is the medium red pentagon. To the west of the medium grey pentagon there is the little pentagon. To the east of the thing which was south of the medium grey pentagon is this thing.
Where is the medium grey hexagon relative to the medium purple hexagon?