Three blocks, named HHH, LLL and KKK exist. Block HHH contains a medium red hexagon and covers a medium purple hexagon. Another medium red hexagon is inside this block. Medium red hexagon number one is north of and the medium purple hexagon touches this shape. North of the medium purple hexagon is medium red hexagon number two. A medium red hexagon is within block LLL. Block KKK is to the south of block LLL and has block HHH. Block LLL is disconnected from, away from and to the west of this block. Block KKK covers a medium purple hexagon.
Do all medium red hexagons touch a medium purple hexagon?