For Danlo, as for any pilot, mathematics was the key that opened the many windows through which his lightship passed. Mathematics was like a bright, magic sword that sliced open the veils of the manifold and illuminated the dark caverns of neverness waiting for him there. The Snowy Owl fell far and deep, and in the pit of his ship Danlo floated and proved the theorems that let him see his way through the chaos all around him. He floated because there was no gravity; in the manifold, there is neither space nor force nor time, and so, in the very centre of his ship, he floated and dreamed mathematics in vivid, waking dreams, and fell on and on. Immersed as he was in the realm of pure number, in that marvellous interior space that the pilots know as the dreamtime, he had little sense of himself. He could scarcely feel his weightless arms and legs, or his empty hands, or even the familiar ivory skin that enveloped his long, lean body. He needed neither heat nor clothing, and so he floated naked as a newborn child. In many ways, at times, the pit of a lightship is like a womb. In truth, the pit’s interior is a living computer, the very mind and soul of a lightship; it is a sphere of neurologics woven of protein circuitry, rich and soft as purple velvet. Sometimes it is all darkness and comfort and steamy air as dense-seeming as sea water. When a pilot faces away from his ship – for instance, during those rare moments when he is safe inside a null space and he breaks interface with the logic field enveloping him – there is no sight and very little engagement of the other physical senses. But at other times, the pit is something other. When a pilot faces the manifold and his mind becomes as one with the ship’s computer, then there is the cold, clear light of pure mathematics. Then the pit is like a brilliantly-lit crystal cave lined with sapphires and firestones and other precious jewels. The pilot’s mind fills with the crystal-like symbols of probabilistic topology: the emerald snowflake representing the Jordan-Holder Theorem; the diamond glyphs of the mapping lemmas; the amethyst curlicues of the statement of Invariance of Dimension; and all the other thousands of sparkling mental symbols that the pilots call ideoplasts. Only then will a pilot perceive the torison spaces and Flow-tow bubbles and infinite trees that undermine the manifold, much as a sleekit’s twisting tunnels lie hidden beneath crusts of snow. Only when a pilot opens his mind to the manifold will the manifold open before him so that he may see this strange reality just as it is and make his mappings from star to star.
So it was that Danlo became aware of his fellow pilots as they set out on their journeys. As did the Snowy Owl, their ships perturbed the manifold like so many stones dropped into a pool of water. Danlo perceived these perturbations as ripples of light, a purely mathematical light which he had been trained to descry and fathom. For a while, as the lightships remained within a well-defined region known as a Lavi neighbourhood, with his mind’s eye he followed the luminous pathways of the lightships as they fell outward toward the galaxy’s many stars. And then, one by one, as the pilots fell away from each other and the radius of convergence shot off toward infinity, even these ships were lost to his sight. Only nine other ships remained within the same neighbourhood as the Snowy Owl. These nine ships and their pilots he knew very well, for they each had vowed to penetrate the same spaces of the Vild. A few of them were already distinguished for their part in the Pilots’ War: Sarolta Sen and Dolore Nun, and the impossibly brave Leander of Darkmoo who craved danger as other men do women or wine. Ther was Rurik Boaz in the Lamb of God, and the sly Li Te Mu Lan who piloted the Diamond Lotus. There was another lotus ship as well, the Thousand Petalled Lotus, which belonged to Valin wi Tymon Whitestone, of the Simoom Whitestones. (It is something of a curiosity that many pilots still name their ships after the lotus flower. Once a time, of course, a thousand years ago when the Tycho was Lord Pilot, one in every ten ships was so called. The Tycho, an imperious and whimsical man, so wearied of this custom that he forbade his pilots to name their ships after any flower. But in a quiet rebellion led by Veronika Ede in her Lotus of Lotuses, the pilots had defied him. Over the centuries there have always been famous lotus ships: the Golden Lotus; the Lotus of Neverness; the Infinite Lotus; and many, many others.) Three other pilots had set out towards a certain cluster of stars beyond the Eta Carina Nebula; they were the Rosaleen and Ivar Sarad, in a ship curiously named the Bottomless Cup. And finally, of course, Shamir the Bold, he who had once journeyed further toward the galactic core than any other pilot since Leopold Soli. All these pilots, in Mer Tadeo’s garden on the night of the supernova, had vowed to enter that dark, strange nebula known as the Solid State Entity. Like Mallory Ringess before them, they had vowed to fall among the most dangerous of stars in the hope that they might speak with one of the galaxy’s greatest gods.
Even before Danlo had left Neverness, on a night of omens as he stood on a windswept beach looking up at the stars, he had planned to penetrate the Entity, too. That other pilots had made similar plans did not surprise him. Ten pilots were few enough to search a volume of space some ten thousand cubic light-years in volume. Ten pilots could easily lose themselves in such a nebula, like grains of sand scattered upon an ocean. Even so, Danlo took comfort in the company of his fellow pilots, and he continually watched the manifold for the perturbations that their ships made. Including the Snowy Owl, ten ships fell among the stars. Many times, he counted the ships; he wanted to be sure that their number was ten, a comforting and complete number. Ten was the number of fingers on his hands, and on the hands of all natural human beings. Ten, in decimal systems of counting, symbolizes the totality of the universe in the way all things return to unity. Ten was the perfect number, he thought, and so it dismayed him that at times he couldn’t be sure if there were really ten ships after all. More than once, usually after they had passed through a spinning thickspace around some red giant star, his count of the ships yielded a different number. This should not have been so. Counting is the most fundamental of the mathematical arts, as natural as the natural numbers that fall off from one to infinity. Danlo, who had been born with a rare mathematical gift, had been able to count almost before he could talk, and so it should have been the simplest thing for him to know whether the number of ships in the neighbourhood near him was ten or five or fifty. Certainly, by the time they had passed a fierce white star that Danlo impulsively named ‘The Wolf’, he knew that there were at least ten ships but no more than eleven. At times, as he peered into the dark heart of the manifold, he thought that he could make out the composition wave of a mysterious eleventh ship. Looking for this ship was like looking at a unique pattern of light reflected from a pool of water. At times he was almost certain of this pattern, but at other times, as when a rock is thrown into a quiet pool, the pattern would break apart only to reform a moment later reflecting nothing. The eleventh ship, if indeed there really were an eleventh ship, appeared to hover ghostlike at the very threshold of the radius of convergence. It was impossible to say it was really there, impossible to say it was not. Even as the ten pilots kleined coreward toward the Solid State Entity, this ghost ship haunted the mappings of the others, remaining always at the exact boundary of their neighbourhood of stars. Danlo had never dreamed that anyone could pilot a ship so flawlessly. In