The Polish architectural engineer Waclaw Szpakowski (1883-1973) spent over fifty years of his spare time creating intricate line drawings—each one a single line that starts on the left side of the page and winds its way across its surface, bending only at 90° angles and finally ending up on the right side. In this paper, we discuss his linear ideas and present our efforts to map them (and also our own Szpakowski-esque designs) onto cylinders, tori, Möbius strips, and the faces of cubes.