A medium red hexagon is covered by and another medium red hexagon is inside a block named HHH. There exists a block called LLL. A medium purple hexagon and a medium grey hexagon are within block LLL. Block LLL covers another medium grey hexagon. To the north of medium grey hexagon number two is the purple shape. This object is south of medium grey hexagon number one. South of and far from block HHH there is another block named KKK. In this block is block LLL.
Are all medium purple hexagons far from all medium red hexagons?