Cloister: (1) In Old Orth, any closed, locked-up space (Thelenes was confined in one prior to his execution, but, confusingly to younger fids, it did not then have the mathic connotations of senses 2, etc., below). (2) In Early Middle Orth, the math as a whole. (3) In Late Middle Orth, a garden or court surrounded by buildings, thought of as the heart or center of the math. (4) In New Orth, any quiet, contemplative space insulated from distractions and disturbances.

— THE DICTIONARY, 4th edition, A.R. 3000

I’d been using my sphere as a stool. I traced counterclockwise circles on it with my fingertips and it shrank until I could palm it. My bolt had shifted while I’d been sitting. I pulled it up and yanked the pleats straight as I careered around tables, chairs, globes, and slow-moving fraas. I passed under a stone arch into the Scriptorium. The place smelled richly of ink. Maybe it was because an ancient fraa and his two fids were copying out books there. But I wondered how long it would take to stop smelling that way if no one ever used it at all; a lot of ink had been spent there, and the wet smell of it must be deep into everything.

At the other end, a smaller doorway led to the Old Library, which was one of the original buildings that stood right on the Cloister. Its stone floor, 2300 years older than that of the New Library, was so smooth under the soles of my feet that I could scarcely feel it. I could have found my way with my eyes closed by letting my feet read the memory worn into it by those gone before.

The Cloister was a roofed gallery around the perimeter of a rectangular garden. On the inner side, nothing separated it from the weather except the row of columns that held up its roof. On the outer side it was bounded by a wall, openings in which gave way to buildings such as the Old Library, the Refectory, and various chalk halls.

Every object I passed-the carven bookcase-ends, the stones locked together to make the floor, the frames of the windows, the forged hinges of the doors and the hand-made nails that fastened them to the wood, the capitals of the columns that surrounded the Cloister, the paths and beds of the garden itself-every one had been made in a particular form by a clever person a long time ago. Some of them, such as the doors of the Old Library, had consumed the whole lifetimes of those who had wrought them. Others looked as though they’d been tossed off in an idle afternoon, but with such upsight that they had been cherished for hundreds or thousands of years. Some were founded on pure simple geometry. Others reveled in complication and it was a sort of riddle whether there was any rule governing their forms. Still others were depictions of actual people who had lived and thought interesting things at one time or another-or, barring that, of general types: the Deolater, the Physiologer, the Burger and the Sline. If someone had asked, I might have been able to explain a quarter of them. One day I’d be able to explain them all.

Sunlight crashed into the Cloister garden, where grass and gravel paths were interwoven among stands of herbs, shrubs, and the occasional tree. I reached back over my shoulder, caught the selvage end of my bolt, and drew it up over my head. I tugged down on the half of the bolt that hung below my chord, so that its fraying edge swept the ground and covered my feet. I thrust my hands together in the folds at my waist, just above the chord, and stepped out onto the grass. This was pale green and prickly, as the weather had been hot. As I came out into the open, I looked to the south dial of the clock. Ten minutes to go.

“Fraa Lio,” I said, “I do not think that slashberry is among the One Hundred and Sixty-four.” Meaning the list of plants that were allowed to be cultivated under the Second New Revised Book of Discipline.

Lio was stockier than I. When younger he had been chubby, but now he was just solid. On a patch of disturbed earth in the shade of an apple tree, he was squatting, hypnotized by the dirt. He had wrapped the selvage end of his bolt around his waist and between his thighs in the basic modesty knot. The remainder he had rolled up into a tight cylinder which he had tied at each end with his chord and then slung diagonally on his back, like a bedroll. He had invented this wrap. No one else had followed his lead. I had to admit that it looked comfortable, if stupid, on a warm day. His bottom was ten inches off the ground: he had made his sphere about the size of his head, and was balancing on it.

“Fraa Lio!” I said again. But Lio had a funny mind that sometimes did not respond to words. A slashberry cane arched across my path. I found a few thornless inches, closed my hand around it, jerked it up by its roots, and swung it round until the tiny flowers at its tip grazed Fraa Lio’s stubbly scalp. “Thistlehead!” I said, at the same moment.

Lio tumbled backward as if I’d smacked him with a quarter-staff. His feet flew up and spun back to find purchase on the roots of the apple tree. He stood, knees bent, chin tucked, spine straight, pieces of dirt trickling down from his sweaty back. His sphere rolled away and lodged in a pile of uprooted weeds.

“Did you hear me?”

“Slashberry is not one of the Hundred and Sixty-four, true. But neither is it one of the Eleven. So it’s not like I have to burn it on sight and put it down in the Chronicle. It can wait.”

“Wait for what? What are you doing?”

He pointed at the dirt.

I stooped and looked. Many would not have taken such a risk. Hooded, I could not see Fraa Lio in my peripheral vision. It was believed you should always keep Lio in the corner of your eye because you never knew when he might commence wrestling. I had endured more than my share of headlocks, chokeholds, takedowns, and pins at Lio’s hands, as well as large abrasions from brushes with his scalp. But I knew that he would not attack me now because I was showing respect for something that he thought was fascinating.

Lio and I had been Collected ten years ago, at the age of eight, as part of a crop of boys and girls numbering thirty-two. For our first couple of years we had watched a team of four bigger fraas wind the clock each day. A team of eight suurs rang the bells. Later he and I had been chosen, along with two other relatively large boys, to form the next clock-winding team. Likewise, eight girls had been chosen from our crop to learn the art of ringing the bells, which required less strength but was more arduous in some ways, because some of the changes went on for hours and required unbroken concentration. For more than seven years now, my team had wound the clock each day, except when Fraa Lio forgot, and three of us had to do it. He’d forgotten two weeks ago, and Suur Trestanas, the Warden Regulant, had sentenced him to do penance, in the form of weeding the herb beds during the hottest time of the year.

Eight minutes to go. But nagging Lio about the time wouldn’t get me anywhere; I had to go through, and out the other side of, whatever it was that he wanted to talk about.

“Ants,” I said. Then, knowing Lio, I corrected myself: “Ant vlor?”

I could hear him smiling. “Two colors of ants, Fraa Raz. They’re having a war. I regret to say I caused it.” He nudged a pile of uprooted slashberry canes.

“Would you call it a war, or just mad scrambling around?”

“That’s what I was trying to figure out,” he said. “In a war, you have strategy and tactics. Like flanking. Can ants flank?”

I barely knew what that meant: attacking from the side. Lio worried such terms loose from old books of vlor-Vale-lore-as if pulling dragon’s teeth from a fossil jaw.

“I suppose ants can flank,” I said, though I sensed that it was a trick question and that Lio was flanking me with words at this very moment. “Why not?”

“By accident, of course they can! You look down on it from above and say, ‘Oh, that looked like flanking.’ But if there’s no commander to see the field and direct their movements, can they really perform coordinated maneuvers?”

“That’s a little like Saunt Taunga’s Question,” I pointed out (“Can a sufficiently large field of cellular automata think?”).

“Well, can they?”

“I’ve seen ants work together to carry off part of my lunch, so I know they can coordinate their actions.”

“But if I’m one of a hundred ants all pushing on the same raisin, I can feel the raisin moving, can’t I-so the raisin itself is a way that they communicate with one another. But, if I’m a lone ant on a battlefield-”

“Thistlehead, it’s Provener.”

“Okay,” he said, and turned his back on me and started walking. It was this penchant for dropping conversations in the middle, among other odd traits, that had earned him a reputation as being less than intact. He’d forgotten his sphere again. I picked it up and threw it at him. It bounced off the back of his head and flew straight up in the air; he held out a hand, barely looking, and caught it on the drop. I edged around the battlefield, not wanting to get combatants, living or dead, on my feet, then hustled after him.

Lio reached the corner of the Cloister well ahead of me and ducked in front of a mass of slow-moving suurs in a way that was quite rude and yet so silly that the suurs all had a chuckle and thought no more of it. Then they clogged the archway, trapping me behind them. I had alerted Fraa Lio so he wouldn’t be late; now I was going to arrive last and be frowned at.

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