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Spring came to Graz and, as always, took him by surprise. He looked out one day and there it was in the flushed air, a quickening, a sense of vast sudden swooping, as if the earth had hurtled into a narrowing bend of space. The city sparkled, giving off light from throbbing window panes and polished stone, from blue and gold pools of rain in the muddied streets. Johannes kept much indoors. It disturbed him, how closely the season matched his present mood of restlessness and obscure longing. The Shrovetide carnival milled under his window unheeded, except when a comic bugle blast or the drunken singing of revellers shattered his concentration, and he bared his teeth in a soundless snarl.

Perhaps he was wrong, perhaps the world was not an ordered construct governed by immutable laws? Perhaps God, after all, like the creatures of his making, prefers the temporal to the eternal, the makeshift to the perfected, the toy bugles and bravos of misrule to the music of the spheres. But no, no, despite these doubts, no: his God was above all a god of order. The world works by geometry, for geometry is the earthly paradigm of divine thought.

Late into the nights he laboured, and stumbled through his days in a trance. Summer came. He had been working without cease for six months, and all he had achieved, if achievement it could be called, was the conviction that it was not with the planets themselves, their positions and velocities, that he must chiefly deal, but with the intervals between their orbits. The values for these distances were those set out by Copernicus, which were not much more reliable than Ptolemy's, but he had to assume, for his sanity's sake, that they were sound enough for his purpose. Time and time over he combined and recom-bined them, searching for the relation which they hid. Why are there just six planets? That was a question, yes. But a profoun-der asking was, why are there just these distances between them? He waited, listening for the whirr of wings. On that ordinary morning in July came the answering angel. He was in class. The day was warm and bright. A fly buzzed in the tall window, a rhomb of sunlight lay at his feet. His students, stunned with boredom, gazed over his head out of glazed eyes. He was demonstrating a theorem out of Euclid -afterwards, try as he might, he could not remember which -and had prepared on the blackboard an equilateral triangle. He took up the big wooden compass, and immediately, as it always contrived to do, the monstrous thing bit him. With his wounded thumb in his mouth he turned to the easel and began to trace two circles, one within the triangle touching it on its three sides, the second circumscribed and intersecting the vertices. He stepped back, into that box of dusty sunlight, and blinked, and suddenly something, his heart perhaps, dropped and bounced, like an athlete performing a miraculous feat upon a trampoline, and he thought, with rapturous inconsequence: I shall live forever. The ratio of the outer to the inner circle was identical with that of the orbits of Saturn and Jupiter, the furthermost planets, and here, within these circles, determining that ratio, was inscribed an equilateral triangle, the fundamental figure in geometry. Put therefore between the orbits of Jupiter and Mars a square, between Mars and earth a pentagon, between earth and Venus a… Yes.  yes. The diagram, the easel, the very walls of the room dissolved to a shimmering liquid, and young Master Kepler's lucky pupils were treated to the rare and gratifying spectacle of a teacher swabbing tears from his eyes and trumpeting juicily into a dirty handkerchief.

* * *

At dusk he rode out of the forest of Schönbuch. The bright March day had turned to storm, and a tawny light was sinking in the valley. The Neckar glimmered, slate-blue and cold. He stopped on the brow of a hill and stood in the stirrups to breathe deep the brave tempestuous air. He remembered Swabia not like this, strange and fierce: was it he, perhaps, that had changed? He had new gloves, twenty florins in his purse, leave of absence from the Stiftsschule, this dappled grey mare lent him by his friend the district secretary of Styria, Stefan Speidel, and, safe in a satchel by his side, wrapped in oilskin, most precious of all, his manuscript. The book was done, he had come to Tübingen to publish it. Black rain was falling when he entered the narrow streets of the town, and lanterns flickered on the bastioned walls of Hohentubingen above him. After the annunciation of July, it had taken seven more months of labour, and the incorporation of a third dimension into his calculations, to round out his theory and complete the Mysterium. Night, storm, a solitary traveller, the muted magnificence of the world; a trickle of rain got under his collar, and his shoulder-blades quivered like nascent wings.

Presently he was sitting in a bed, in a low brown room at The Boar, with a filthy blanket pulled to his chin, eating oatcakes and drinking mulled wine. Rain drummed on the roof. From the tavern below there rose a raucous singing-fine hearty people, the Swabians, and prodigious topers. Many a skinful of Rhenish he himself as a student had puked up on that rush-strewn floor down there. It surprised him, how happy he was to be back in his homeland. He was downing the dregs of the jug in a final toast to Mistress Fame, that large and jaunty goddess, when the potboy banged on the door and summoned him forth. Bleared and grinning, half drunk, and still with the blanket clutched about him, he struggled down the rickety stairs. The aleroom had the look of a ship's cabin, the drinkers swaying, candlelight swinging, and, beyond the streaming windows, the heaving of the oceanic night. Michael Mästlin, his friend and sometime teacher, rose from a table to meet him. They shook hands, and found themselves grappling with an unexpected shyness. Johannes without preamble said: "I have written my book." He frowned at the filthy table and the leathern cups: why did things not quake at his news?

Professor Mästlin was eyeing the blanket. "Are you ill?"

"What? No; cold, wet. I have lately arrived. You had my message? But of course, since you are here. Ha. Though my piles, forgive my mentioning it, are terrible, after that journey."

"You don't mean to lodge here, surely?-no no, you shall stay with me. Come, lean on my arm, we must see to your bags."

"I am not-"

"Come now, I say. You are on fire, man, and your hands, look, they're shaking. "

"I am not, I tell you, I am not ill."

The fever lasted for three days. He thought he might die. Supine on a couch in Mästlin's rooms he raved and prayed, plagued by visions of gaudy devastation and travail. His flesh oozed a noxious sweat: where did it come from, so much poison? Mästlin nursed him with a bachelor's unhandy tenderness, and on the fourth morning he woke, a delicate vessel lined with glass, and saw through an angle of window above him small clouds sailing in a patch of blue sky, and he was well.

Like a refining fire the fever had rinsed him clean. He went back to his book with new eyes. How could he have imagined it was finished? Squatting in a tangle of sheets he attacked the manuscript, scoring, cutting, splicing, taking the theory apart and reassembling it plane by plane until it seemed to him miraculous in its newfound elegance and strength. The window above him boomed, buffeted by gales, and when he raised himself on an elbow he could see the trees shuddering in the college yard. He imagined washes of that eminent exhilarated air sweeping through him also. Mästlin brought him his food, boiled fish, soups, stewed lights, but otherwise left him alone now; he was nervous of this excitable phenomenon, twenty years his junior, perched on the couch in a soiled nightshirt, like an animated doll, day after day, scribbling. He warned him that the sickness might not be gone, that the feeling of clarity he boasted of might be another phase of it. Johannes agreed, for what was this rage to work, this rapture of second thoughts, if not an ailment of a kind?

But he recovered from that too, and at the end of a week the old doubts and fears were back. He looked at his remade manuscript. Was it so much better than before? Had he not merely replaced the old flaws with new ones? He turned to Mästlin for reassurance. The Professor, shying under this intensity of need, frowned into a middle distance, as if surreptitiously spying out a hole down which to bolt. "Yes," he said, coughing, "yes, the idea is, ah, ingenious, certainly."