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Psellus nodded eagerly.

"Distance," the instructor went on, "in fencing parlance, is the space between two enemies. Full distance is where neither man can touch the other without moving his feet. If you're at full distance, he has to take a step forward before he can reach you; and of course, that gives you time to take a step back, which maintains the distance." He paused. "Are you still with me, or…?"

"That's fine," Psellus said happily. "Go on."

The instructor nodded gravely. "Close distance," he went on, "is where both men are close enough to strike each other. When you close the distance, he can hit you, but you can hit him too. In fencing, danger is mutual; you need to bear that in mind at all times."

"Of course," Psellus said. He liked the sound of full distance much better, of course.

"Now then." The instructor's voice became brisker. "Suppose you're at full distance, and you believe your enemy's about to move towards you. There are three options. You can move back-safe, but it means he's safe too-or you can stay where you are and try blocking his attack with a defence-what we call a ward-or you can move forward at the same time he does, hoping to block his attack and make an attack of your own simultaneously. That is, of course, a dangerous choice; it can end up with both of you killing the other, for instance, and you'd be surprised how often that happens. But if you can make it work, it's the best choice of all, because as you close the distance you also close the time. He's got no time to defend himself or get out of the way, and so you win. We call that an action in single time, as opposed to where he attacks and you retreat, then you attack and he retreats; that's double time. All right so far?"

Psellus nodded, but he wasn't quite sure; the implications were too broad to be assimilated so quickly. He'd have to think about it later, if he could remember it all.

"For an action in single time," the instructor went on, and his voice suggested that he was reciting a scripture long since learnt by heart, "we can either simultaneously block and strike, or simultaneously avoid and strike. This is where the two main schools of fencing diverge. In the Eremian school-"

"I'm sorry," Psellus interrupted. "What did you call it?"

"The Eremian school. They have-well, had, I suppose-a long and rich tradition of fencing. The Eremian school"-he's lost his place, Psellus thought guiltily-"is up and down a straight line, because after all, a line's the shortest distance between two points, and the shorter the distance, the less time you need. The Vadani school is based on a circle. Basically, you avoid the attack by moving sideways and make your own attack by going forward; so, if you imagine a circle drawn on the ground-"

"I'm sorry," Psellus said. "A circle."

The instructor looked sad. "Well, strictly speaking, more of a hexagon, or an octagon, even, but a circle's easier to picture. Imagine the centre of the circle is a point exactly between the tips of the swords of two men at full distance." He frowned, then added, "It's much easier if I draw a diagram. If you've got some paper…"

The end of the lesson. Half a dozen sheets of paper, covered in lines, circles, hexagons (Psellus had insisted), some plain, some with arrows to show the direction of the defender's feet. An insincere promise to review it all before the next lesson and ask about anything he hadn't understood.

It had all been perfectly fine until the circle. If you don't want to get hit, be somewhere else; he'd grasped that just fine (except how can you move an entire city out of the way? You can't, especially if there's no time, less than nine days before close distance). He could understand staying put and blocking, which was, after all, what walls were for-walls and bastions and ravelins, and all those bizarre shapes in the two-hundred-year-old book, that could be the wild sketches of a lunatic for all he knew. Staying put, blocking and hitting back all at the same time; he understood that, and they ought to have superiority in artillery, although with Vaatzes out there they couldn't be sure. But the circle (or, properly speaking, the octagon), the move sideways and forwards in single time… If only, he felt, he could understand that, all his troubles would be over. And the volte-well, he'd been told to forget about the volte, since it was intermediate going on advanced, and they wouldn't be getting on to it for some time, so it'd only confuse him, but it did illustrate the principles perfectly, so they might as well just touch on it briefly; the volte, where you swing sideways out of the line of attack and watch the enemy walk blithely on to your sword-point, so that his own movement impales him…

Psellus picked up the diagrams, stacked them neatly, put them on his desk and covered them with a twenty-page report, so he wouldn't have to see them. The volte, he thought. The volte is the essence of single time. The volte is where you and your enemy co-operate…

Ziani Vaatzes. He wants to walk into my sword, provided he can get to where he wants to be. Not wants; needs. (It was a moment of revelation, purely intuitive, though he didn't realise that until later.) Ziani Vaatzes is a man with no choices; a man in single time, at all times. His line is straight, and that means that somehow I have to get my poor muddled head around this business of the circle. Or, properly speaking, octagon.

The quickest way to a man's death is through his heart, but if you want to get into his brain… The work, they'd confidently told him, would take a year. That had depressed him, before he learned the truth about time and distance.

He'd sent for the master instructor of the Potters', and ordered him to build a model of the City out of clay. The master had replied that there was no specification for anything like that, but he'd convinced him that it came under the heading of military engineering, so that was all right.

And here it was; built to Guild standards, which meant it was beautifully detailed and immaculately glazed (they'd wanted to paint it, too; he'd had to be quite firm. Foliate scroll and acanthus motifs picked out in gold leaf weren't going to help him beat the savages), it stood on a Pattern Sixteen square beech table in Necessary Evil's cloister in the Guildhall grounds. Two worried-looking men stood by with buckets of earth dug out of the flowerbeds as the rest of the committee assembled for the briefing.

Psellus cleared his throat. They'd come to recognise the significance of that mild, sheeplike noise. Bizarrely, they'd come to trust it, too.

"Well," he said (how tired he sounded, they said afterwards; too tired to be nervous or scared), "here's the City." He paused, briefly reflecting on the absurdity of that statement. "While I think of it, formal vote of thanks to the Potters' for this fine model." A quick, low mumble of agreement, and the secretary scribbled something in his book.

"Now then." Psellus sighed. The temptation was to gabble, get it all over and done with. He wasn't used to speaking slowly. All his working life, he'd had to talk fast, to get his information across before someone more important interrupted. "As we all know, our ancestors of blessed memory fortified the City to the highest possible specification. We have the four concentric circles of main walls; the outer wall, which is thirty feet high and five feet thick; the outer curtain, twenty feet and four feet, the inner curtain, likewise, and the citadel, forty feet high and eight feet thick. At the time…" He paused, to let the words soak in. "At the time, the specification was more than adequate to cope with any possible threat the City could ever face from its potential enemies: the Eremians, the Vadani, the Cure Doce, even the savages beyond the desert. Our engineers designed our defences to withstand the methods of direct assault available to such unsophisticated attackers; attempts to batter down the gates, to scale the walls using ladders or primitive towers, and to undermine the walls by tunnelling under them. For obvious reasons"-he paused again-"they didn't bother to consider an assault by artillery, since only the Republic had the knowledge and capacity to build siege engines, and it was unthinkable that either of those could ever be acquired by an enemy."