The lexicons p, q, and r seem to represent parts of a circle, specifically p is the radius, and q and r are angles. (This invalidates the idea that pP...Pp and rP...Pr are used as encapsulations). Resoning: the line that has GpPQCQPpG i ... works out to read 'p=2 and q=0 circle units and r=400 circle units, and the following picture shows an 180degree arc that is at radius 2. Thus, the orientation of the hexagon raster images, also with the 'standing alien' fact, should help reveal the 'correct' way of drawing the maps. q and r are probably the start and end of an arc, respectively, and thus, the image of the arc should follow this convention. the support for p being the radius variable is given in the 3 previous statement, setting p to various distances and showing a circle of that radius (of 0, 1 or 2 units). Still working on the two sets of statements before that...