He slept lightly and very little. His urine turned a deep amber then ceased to flow entirely. The monotony of the scenery was relentless. Each low crunchy ridge he topped revealed a vista composed of its identical clones, arranged in a pattern of infinite regress. His thoughts went around in circles. He lost track of time. He sang the Oscar Mayer jingle and the Simpsons theme song. He talked to James and Julia. Sometimes he confused James with Martin Chatwin and Julia with Jane. The fat melted out of his body; his ribs grew more prominent, tried to push their way out through his skin. He had to be careful. His margin of error was not large. The spells he was using were powerful and highly durable, with a life of their own. He could die out here, and his corpse would probably keep jogging merrily along toward the pole on its own.

Once or twice a day, sometimes more, a lipless blue crevasse would open beneath his feet, and he would have to trot around it or cross it with a magic-assisted leap. Once he stumbled right into one and fell forty feet down into blue-tinted darkness. The ward-and-shield spells around his pale, nude body were so thick that he barely noticed. He just ground to a slow stop, jammed in between two rough ice walls, and then lifted himself back out again, like the Lorax, and kept on running.

Even as his physical strength faded he leaned on the iron magical vigor that his sojourn under Professor Mayakovsky had given him. It no longer felt like a fluke when he worked magic successfully. The worlds of magical and physical reality felt equally real and present to him. He summoned simple spells into being without conscious thought. He reached for the magical force within him as naturally as he would reach for the salt on the dinner table. He had even gained the ability to extemporize a little, to guess at magical Circumstances when he hadn’t been drilled on them. The implications of this were stunning: magic wasn’t simply random, it had an actual shape—a fractal, chaotic shape, but subconsciously his blindly groping mental fingertips had begun to parse it.

He remembered a lecture Mayakovsky had given a few weeks before, which at the time he hadn’t paid much attention to. Now, however, jogging forever south across the frozen, broken plains, it came back to him almost word for word.

“You dislike me,” Mayakovsky had begun. “You are sick of the sight of me, skraelings.” That was what he called them, skraelings. Apparently it was a Viking word that meant, roughly, “wretches.”