More to come… this (above left) relates back to the emulation posts and the idea of creating hachure lines with a hand-drawn feel.
Above right demonstrates a rotation and mapping a rotation to a translation. The point 565.685424949, 0.0 rotated 45º about the (translated) canvas origin (0, 0) returns the coordinates (400, -400). The same point, rotated a further 15º (total 60º) returns coordinates of 282.84271247461908, -489.89794855663558 (see: coordinate generators, of May 14, 2014), the square markers are not themselves rotated.