In fact, the only advantage to the base-ten system is the unimportant biological fact that human beings happen to have ten fingers. I have heard that the American Maya Indians always went barefoot and so developed a basetwenty numbering system, counting on their toes as well as their fingers.
It was a simple matter to set up a base-twelve system. Zero and the numbers one through nine remained the same. Ten and eleven required new symbols; I picked the Greek letters delta and phi.
Counting went one, two three… nine, ten, eleven, twelve, oneteen, twoteen, thirteen… nineteen, tenteen, eleventeen, twenty, twentyone… twenty-nine, twentyten, twenty-eleven, thirty, and so on. Eleventy-ten was the equivalent of decimal one hundred forty-two. Obvious, right? Then it was a matter of constructing multiplication tables and so on; again, straightforward.
I was astounded at how quickly some people picked up all this. Twentieth-century schools take eight years to teach children arithmetic, yet I had some students learn it in two weeks! It was as if their minds were dry sponges, eager to suck things in.
Class size varied between four and fifty. It was agreed that after the holidays, classes would be continued on Sunday afternoons.
The learning procedure was entirely by lecture, backed up with chanting for memorization. I had part of one wall of the hall plastered and painted black for use as a blackboard. There were no books, no paper, no pencils, no tests beyond verbal questions.
Despite those handicaps, learning proceeded well. By the end of his stay, Boris had a parchment ledger book that he understood better than I, since I was never able to learn to think in base-twelve arithmetic. I could do it but not think in it.
Boris complained that carrying and using slow-drying ink would be awkward on the road, so I suggested using a sharpened piece of hard lead. That worked fairly well, and a few years later we were producing and selling lead pencils, made with real lead instead of the modem graphite and clay mixture.
On the feast of the twelfth night, I was expected to give gifts to the commoners, and by then I knew precisely what to give them. The people were obviously suffering from a number of vitamin deficiencies. The seeds I had with me could make a valuable contribution to their diet if handled properly. I sorted carefully through the seed packages, dividing them into six piles.
The first pile consisted of those which could be eaten and the seeds saved: the pumpkins, the squashes, the melons, the luffas, the tomatoes, etc. Those, I could give to the peasants and be sure that there would be seeds for future crops. There were ninety-two packets of those, enough to give one to each farmer.
The second pile contained those plants of which one ate the seeds themselves. Those were the really important crops: the grains, the maize, the potatoes, the peas, and the beans. It would be best if those were planted and harvested strictly for seed, at least the first year, since my understanding was that the modern varieties were more productive than the ancient ones. Those were best grown on the count's own lands since a peasant might get hungry and eat the seeds next winter. After some thought, I put the biennials, where I knew how they reproducedthe onions and garlic-in with this group.
The third pile consisted of the long-term plants: fruit trees, berry bushes, sugar maples, asparagus, grapevines, and so on. Those too were for Lambert's lands, since he could afford a long-term investment and a peasant probably could not.
The fourth pile contained plants that were decorative but had no economic use: decorative trees, flowers, and so — on. Roses were nice, but I wasn't going to worry if we lost a strain. Those I would give to the women of the fort.
It turned out that I was completely wrong about the usefulness of some of these. Goldenrods were an excellent insect repellent, and people ate some of the flowers. And roses were their major source of vitamin C. The Japanese roses grew into a huge, tangled mass that became an excellent military defense, vastly superior to barbed wire! They also kept cattle out of the crops.
Then, there were plants that wouldn't grow in Poland at all. I had two packages of rice, six kinds of citrus fruits, and a package of cotton seeds. I didn't know why that redheaded bitch had sold them to me, but she had, and they were useless in Okoitz.
But Boris was going into the warmer lands of Hungary; I knew that rice and oranges would grow there, and who knows? — maybe cotton would, too. I felt guilty about Lambert's settlement with Novacek, and the gift of seeds was a way I could help make it up to him. If he played his cards rightand Boris was no fool-those plants could make him rich.
The cotton was especially important. Cotton is better than linen, and it takes much less labor to make it into thread. In this clothing-conscious age, cotton could make Boris the vast fortune he so much desired.
Now if there had only been some tobacco seeds…
The last pile was of plants about which I had no idea how they reproduced. These were mainly root crops: carrots, turnips, radishes, and beets, along with the cabbage and its sisters cauliflower, broccoli, kale, Brussels sprouts, and kohlrabi. The last six are all really the same species and can be interbred. The best I could do with that pile was to turn it over to the count, and we'd try our luck. I was troubled because the sugar beets were in the last pile. With the incredible prices paid for sweets, sugar beets could be a very valuable cash crop for the count, but I didn't know how to make them reproduce.
The party went off fairly well. The people were all willing to try something new, and the count was willing to invest a few hectacres for seed production. The next spring, Father John and 1, the only literate people in the fort, were kept busy reading and rereading seed packages for people.
It is annoying and time-consuming to be surrounded by illiterates. You can't leave a note for someone. You must find a messenger and trust his memory. You can't give written instructions. And somehow there's something wrong about illiteracy.
I found Father John working on a wood carving, a statue of a saint.
"Father, I think that we should start a school."
"Indeed? And teach what?"
"Why, reading and writing, of course."
"Now, what possible good would that do for my parish?"
"What possible good? These people are all illiterate! They can't write their own names, let alone read."
"And if I taught them to read, Sir Conrad, what then? What would they read?"
"Why, books, of course."
"The only books in Okoitz are a not particularly legible Bible and my own copy of Aristotle. These I can recite from memory. As for writing their names, where would they have need to sign them? On latrine walls?"
"But surely literacy is more important than a carving!"
"Indeed? Consider that the peasants tithe, but they give me only a tenth of what they sell to merchants, which is perhaps only a tenth of what they grow; they eat the rest. The count provides me with food and shelter but little else. I have a wife with… expectations. I can sell my carvings, and I cannot sell learning."
"Okay. I get your message, Father. How much do you earn by carving?"
"Five, six pence a week, sometimes."
"Very well. I will pay you-or, rather, donate to the Church-a penny a day for your teaching. Teach a dozen students, the bright ones, five days a week, from dinner until sundown during the winter. I especially want the Kulczynski boy, Piotr, taught. He has learned arithmetic in two weeks, and a mind like that must not be wasted."
"There will be expenses. Parchment, ink, wax tablets."
"Buy them. I'll give you a fund to pay for them. If you need other things, Father Ignacy of the Franciscan monastery in Cracow can provide them. He knows me."
"And I can still carve in the mornings?"
"Yes, damn it!"
"Then we are in agreement."
As I left Father John, I saw Count Lambert talking to a newly arrived knight. The fellow was very splendidly dressed in purple and gold. His armor was gold-washed and of very small links, the kind you see in museums. His embroidered velvet surcoat matched
the velvet barding worn by his fine white charger, and the trim on his helmet and weapons looked to be solid gold.
I was just in blue jeans and sweater, but I went over to introduce myself.
"Ah, Sir Conrad," Lambert said. "I introduce you to Sir Stefan. Sir Conrad is my newest vassal; Sir Stefan is the son of my greatest vassal, Baron Jaroslav. The two of you will be serving together until Easter."
"I am honored, Sir Conrad," Sir Stefan said, somewhat taken aback by my size and strange clothing. "I had thought that I would be serving with Sir Miesko. Still, anyone who can do guard duty for the other half of a long winter's night is warmly welcome."
"Well, uh…" I stammered.
"Sir Miesko is on a mission for me in Hungary," Lambert said. "As for the rest, you touch upon a problem, Sir Stefan. You see, my arrangement with Sir Conrad is that he will have no military duties save in an actual emergency. I regret that this means that you will have to take the night guard by yourself."
"Dusk till dawn, seven nights a week in the winter, my lord? Surely that is excessive!"
I had to agree that he had a point. At Okoitz's latitude, there could be seventeen hours of darkness in the winter. Three months straight of night duty under those circumstances could make a man crazy and old before his time. I felt sorry for the young knight, but not enough to volunteer my time. It wasn't my job. I had my own work to do.
"Count Lambert," I said. "Can't you get another man to help him out?"
Lambert shook his head.
"For another knight to come, he would have to make arrangements with yet another warrior to look after his own estates; then that man would have to make similar arrangements, all of which would take time. It probably couldn't be done within three months, by which time it would no longer be needed. No. The lots were drawn last Michaelmas, and I won't upset the schedules for anything less than death or the threat of war."
"I resign myself," Stefan said. "But Sir Conrad, couldn't you occasionally help out?"
"Well, I'm sorry, but there are a lot of other projects I have to work on."
"Sir Conrad will have his own duties which only he can perform," Lambert said. "I am afraid that you are left with an arduous task, Sir Stefan."
"But alone, my lord?"
"Damn, man! I've explained it to you. Who else is there? The place must be guarded! I can't leave guard duty to a peasant. They'd start thinking that they were our equals. And surely you don't expect me to do it. It is more than sufficient that I must be awake during the day. I am your father's liege lord! Enough of this! It is settled!" I think Lambert felt as guilty as I did.
Sir Stefan glared at me as though it were all my fault and stalked off to the castle.
My first task was to get a gross of beehives built. There was really no hurry since bees don't swarm until June, but I wanted to establish a good working relationship with the carpenter before we started building a loom.
It was soon obvious that I was going to have difficulty with the man. Vitold had to be competent; he had supervised the construction of the entire fort. Yet when it came to sawing up some boards and building some simple boxes, he had a great deal of difficulty understanding what I wanted. I drew pictures on the snow, but three-view drawings were incomprehensible to him. He asked innumerable questions about bees and what it was that we were trying to accomplish. That went on for hours, and I was losing my temper by suppertime. We agreed to discuss it the next day. Admittedly, we were talking about a gross of the things and it would probably take a month or two to get them nailed together, but a box ought to be a simple thing.
The next morning, he caught me on my way to the blacksmith. If I couldn't get a box made, what was I going to do about the twentyodd complicated steps involved in making watered steel?
"Sir Conrad?" Vitold asked. "Would it be all right with you if I just went ahead and built what I think you want? If you don't like them, we can always use 'em for firewood."
"That would be fine, Vitold." I figured that it would keep him out of my hair for a while, and once we had a sample, I could show him what he was doing wrong.
The blacksmith, Ilya, was the man who had been chosen king during the holidays. He had put me in diapers, and I did not have a favorable impression of his character.
"Ilya, the count wants me to tell you about steel."
"Well, since the count wants it, I'll listen. But I already know about steel."
He was working at his forge and didn't look up when he talked to me. This forge was a primitive affair about the size of an outdoor barbecue. It was a table-high rock pit with the back wall raised as a windscreen. A crude leather bellows forced air into one side. A roof without walls covered it and his anvil, his other major piece of equipment. A few pliers, punches, and hammers completed the smithy's small collection of tools. Charcoal in the forge burned yellow-hot.
"You know something about wrought iron. You know nothing about steel," I said.
"Huh." He still didn't look up. He was a short man, but he looked to be immensely strong. Even though we were outside in the snow, his sleeves were rolled up, revealing arms twice as thick as mine. He was repairing the armor that the pig had worn when I killed it a few weeks before. "Damned lucky work, here. You must have hit a couple of weak links."
"I did nothing of the sort! I killed that pig because my sword is good steel and that armor is cheap wrought iron!"
" Nothing wrong with this armor." He still didn't look up. He was beating an iron ring into the mail shirt draped over the anvil, working over the tip of the point.
"Damn it, look at me when I'm talking to you!"
He glanced up. "I see you." Then he went back to his work.
"Well, if you won't look at me, look at my sword!" I drew it to show him what watered steel looked like.
"Skinny little thing."
Obviously, I was going to have to get his attention. It occurred to me that chopping a hole through the mail he was working on might do the trick.
"Damn you, Ilya! You stand back or you're going to lose a hand!" I swung at the armor draped over the anvil and he got out of the way in time.
The results were surprising. Fortunately, Ilya was too busy staring at the anvil with his mouth open to notice my expression. I had cut three centimeters off the end of the anvil, and the armor was almost in two pieces, hanging by a shred. My sword was undamaged.
My experience as an officer had taught me to recover quickly. "Now fix that, Ilya," I growled. "Then you come to me after supper tonight and we'll talk." I walked off as though I knew what I was doing.
The carpenter was selecting logs from the firewood pile, about a meter long and half that thick, splitting them in half and laying the halves side by side on the snow.
I didn't want to ask.
I went back to the castle, thinking about a mug of beer. Maybe the count would want a game of chess. A noble wasn't allowed to play with commoners because he might lose.
Janina got my beer, and the girls pounced on me.
"Sir Conrad, you promised to show us how to make that wonderful knot work." Krystyana wasn't very good at playing the coquette. I think she was trying to imitate Francine, the priest's wife.
"Hmm. I don't remember promising anything, but I'll think on it." Thinking did me surprisingly little good. Understand that my mother knitted constantly. Unless she was cooking or sleeping, her needles and yarn were always out. My grandmother had done the same while she was alive.
And, you know? I had never really looked at what they were doing. I knew that there was a needle in each hand, with little loops of yam that connected them to the fabric below. She did something complicated with them in the middle. I spent more than an hour trying to visualize what it was, and the girls drifted away, embarrassed.
Then a partial solution occurred to me. I didn't know what knitting was, but when I was seven, my grandmother had shown me how to crochet. I got some heavy slivers of wood from the carpenter, who was still splitting logs and laying them out.
Other groups were working. One bunch of men had piles of flax lying on the ground, and they were beating on them with large wooden mallets. Some women were shredding it into fiber. A few others were braiding a sort of rope. Some repair work was in progress on a straw roof. No one seemed to be in charge, but things were getting done.
I took my sticks back to my room, and in an hour I had whittled three usable crochet hooks. The lack of sandpaper was a nuisance, but if you take your time you can get things fairly smooth with just a knife. I borrowed a candle from the count's room and waxed them. I borrowed some yam and shortly produced a pot holder that was as good as anything I had done when I was seven.
The girls were thrilled and picked it up without difficulty. Within a week I had two usable linen undershirts and Lambert was equally well equipped. The ladies were soon experimenting with variations, some of which were quite nice, and the peasant women were following their lead.
One surprising thing about technology is that very often the simplest processes and devices take the longest to develop, or perhaps I should say that it's surprising until you've been a designer. It is much easier, conceptually, to design a complicated thing than a refined simple mechanism. Those intricate machines that came out of twentiethcentury Germany are really the results of lazy thinking.
Consider the evolution of the musket. The expensive and tricky wheel lock was produced for a hundred years before some nameless craftsman came up with the simple and dependable flintlock.
Or look at this crocheting business. It's hard to imagine a simpler tool than a crochet hook. It produces a useful cloth fairly quickly, yet I do not know of a single primitive tribe that uses it. Even nomads, who must carry all their belongings with them, haul along a simple loom to make cloth.
A designer can mull over complicated designs for months. Then suddenly the simple, elegant, beautiful solution occurs to him. When it happens to you, it feels as if God is talking! And maybe He is.
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