There exist two blocks, named HHH and LLL. Block HHH contain a red hexagon and a medium purple hexagon. Another medium purple hexagon is within this block. Block HHH covers another medium purple hexagon. Medium purple hexagon number two touches the red thing and is north of medium purple hexagon number three. South of the red object is medium purple hexagon number one. South of this object is medium purple hexagon number three. To the north of this shape is the red shape. A medium purple hexagon is in block LLL. Block LLL contains a medium grey hexagon. To the north of the medium grey hexagon there is the medium purple hexagon.
Do all red hexagons touch a medium purple hexagon?