The seventeenth chapter of Abstruse Geometry concerns the mathematical problem of snakes swallowing their own tails. Following in the footsteps of a lost treatise by Athanasius Kircher, the tome describes a mysterious knot known as an “ourobohedron,” which is composed entirely of snakes engaged in varying degrees of autophagy. What it lacks in mathematical rigor, it makes up for in curiosity. The figure is described as follows:

The captain’s wrist bore a living tattoo of a compass rose; as the icy waves tossed her vessel about, its ink contorted so that its longest petal would always point north. Its pigment conspired with the iron in her blood to reveal the world’s magnetic winds. It hadn’t yet proven useful on this journey, as the tramontana had been making itself obvious for weeks, yet she knew that it would soon become a necessity.

The human mind takes up fifteen terabytes of space on average, and accommodating the soul requires for an additional twelve to be available. When compressed into a single unit, however, the complete, disembodied self can be expressed as a mere eighteen terabytes: smaller than the sum of its parts, yet no longer separable into individual segments. This conversion of being, popularly known as the Styx Process, can be performed in under twenty-four hours, as long as the deceased’s tombstone features a sufficiently efficient central processor.

Despite the length of a saguaro’s lifespan, there is only one instant during the course of its life in which it is allowed to dream. This happens at a moment of extraordinary synchronicity, when each of its needles is aligned with a particular star in the skies above and below.

“Now, let’s get started.” The professor drew two large ovals on the blackboard. “What’s the first thing that any mathematician learns about division by zero?”

“That it can’t be done,” one student replied.

“That’s right,” she smiled. “And why is that only half true?”

The android awoke with the sort of headache that only androids ever come to know: that anvil-strike reverberation that resounds throughout an orange-hot skull. It brought with it a sense of being molten, a tension between the factory that came before and the scrapyard yet to come. He knew that he’d felt such a thing before, though he couldn’t remember when. He lamented the fact that there were no painkillers available for his kind.

Due to the prohibitive cost of phoenix feathers, only the city’s wealthiest and most esteemed are allowed to return from the dead. Some hide their plumes among the down of their pillows to prevent death from taking them in their sleep, while others wrap them in smoky bouquets, then stockpile them in refrigerated vaults. Even with such wonders available, however, the population at large still sees immortality as impossible, as each quill costs more money than most will ever make in a lifetime.

The fingerprints engraved into the dagger’s hilt are said to have belonged to Brutus himself. Tradition maintains that they were pressed into the bronze at the moment he first stabbed Caesar, and have remained there ever since. It is possible, however, that these whorls of patina predate even his ownership of the blade, though they certainly are his prints; after all, whosoever holds it always finds that its fingerprints match their own.