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“How can I?” she said. “They bounce lasers off it or something to find out where it is.”

“There is an easier way, using tools you already have.”

“The easiest way is to look it up!”

“No, that is the lazy way.” His face looked severe. “Relying too much on free information makes you as vulnerable as relying too much on technology. You should always know how to figure it out yourself, because information can be falsified, or taken away. You should never trust it.”

So he was some sort of information survivalist. “Next you’ll want me to use flint to make fire,” she grumbled.

“Thinking for yourself is not obsolete. Now, how are you going to find out? I will give you a hint: you don’t have enough information right now. Where are you going to get it?”

She thought a while. It had to use mathematics, because that was what they had been talking about. At last she said, “I’ll need a tape measure.”

“Right.”

“And a protractor.”

“Good. Now go do it.”

It took her the rest of forenote to assemble her tools, and the first part of afternote to observe the ingot from two spots on opposite ends of the park. Then she got one of the refuse-picker children to help her measure the distance between her observation posts. Armed with two angles and a length, the trigonometry was simple. When Magister Pregaldin let her check her answer, it was more accurate than she had expected.

He didn’t let on, but she could tell that he was, if anything, even more pleased with her success than she was herself. “Good,” he said. “Now, if you measured more carefully and still got an answer different from the official one, you would have to ask yourself whether the Protectorate had a reason for falsifying the Ingot’s distance.”

She could see now what he meant.

“That old Vind must be a wizard,” Hunter said when he found Thorn toiling over a math problem at the kitchen table. “He’s figured out some way of motivating you.”

“Why do you think he’s a Vind?” Thorn said.

Hunter gave a caustic laugh. “Just look at him.”

She silently added that to her mental dossier on her tutor. Not a Gminta, then. A Vind—one of the secretive race of aristocrat intellectuals who could be found in government, finance, and academic posts on almost every one of the Twenty Planets. All her life Thorn had heard whispers about a Vind conspiracy to infiltrate positions of power under the guise of public service. She had heard about the secret Vind sodality of interplanetary financiers who siphoned off the wealth of whole planets to fund their hegemony. She knew Maya scoffed at all of it. Certainly, if Magister Pregaldin was an example, the Vind conspiracy was not working very well. He seemed as penniless as any other Waster.

But being Vind did not rule out his involvement in the Holocide—it just meant he was more likely to have been a refugee than a perpetrator. Like most planets, Gmintagad had had a small, elite Vind community, regarded with suspicion by the indigenes. The massacres had targeted the Vinds as well as the Alloes. People didn’t talk as much about the Vinds, perhaps because the Vinds didn’t talk about it themselves.

Inevitably, Thorn’s daily lessons in the park drew attention. One day they were conducting experiments in aerodynamics with paper airplanes when a man approached them. He had a braided beard strung with ceramic beads that clacked as he walked. Magister Pregaldin saw him first, and his face went blank and inscrutable.

The clatter of beads came to rest against the visitor’s silk kameez. He cleared his throat. Thorn’s tutor stood and touched his earlobes in respect, as people did on this planet. “Your worship’s presence makes my body glad,” he said formally.

The man made no effort to be courteous in return. “Do you have a license for this activity?”

“Which activity, your worship?”

“Teaching in a public place.”

Magister Pregaldin hesitated. “I had no idea my conversations could be construed as teaching.”

It was the wrong answer. Even Thorn, watching silently, could see that the proper response would have been to ask how much a license cost. The man was obviously fishing for a bribe. His face grew stern. “Our blessed Protectorate levies just fines on those who flout its laws.”

“I obey all the laws, honorable sir. I will cease to give offense immediately.”

The magister picked up his battered old electronic slate and, without a glance at Thorn, walked away. The man from the Protectorate considered Thorn, but evidently concluded he couldn’t extract anything from her, and so he left.

Thorn waited till the official couldn’t see her anymore, then sprinted after Magister Pregaldin. He had disappeared into Weezer Alley, a crooked passageway that Thorn ordinarily avoided because it was the epicenter of depravity in the Waste. She plunged into it now, searching for the tall, patrician silhouette of her tutor. It was still forenote, and the denizens of Weezer Alley were just beginning to rise from catering to the debaucheries of yesternote’s customers. Thorn hurried past a shop where the owner was beginning to lay out an array of embarrassingly explicit sex toys; she tried not to look. A little beyond, she squeamishly skirted a spot where a shopkeeper was scattering red dirt on a half-dried pool of vomit. Several dogleg turns into the heart of the sin warren, she came to the infamous Garden of Delights, where live musicians were said to perform. No one from the Protectorate cared much about prostitution, since that was mentioned in their holy book; but music was absolutely forbidden.

The gate into the Garden of Delights was twined about with iron snakes. On either side of it stood a pedestal where dancers gyrated during open hours. Now a sleepy she-man lounged on one of them, stark naked except for a bikini that didn’t hide much. Hisher smooth skin was almost completely covered with the vinelike and paisley patterns of the decorative skin fungus mycochromoderm. Once injected, it was impossible to remove. It grew as long as its host lived, in bright scrolls and branching patterns. It had been a Waster fad once.

The dancer regarded Thorn from lizardlike eye slits in a face forested over with green and red tendrils. “You looking for the professor?” heshe asked.

Thorn was a little shocked that her cultivated tutor was known to such an exhibitionist creature as this, but she nodded. The she-man gestured languidly at a second-story window across the street. “Tell him to come visit me,” heshe said, and bared startlingly white teeth.

Thorn found the narrow doorway almost hidden behind an awning and climbed the staircase past peeling tin panels that once had shown houris carrying a huge feather fan. When she knocked on the door at the top, there was no response at first, so she called out, “Magister?”

The door flew open and Magister Pregaldin took her by the arm and yanked her in, looking to make sure she had not been followed. “What are you doing here?” he demanded.

“No one saw me,” she said. “Well, except for that… that… .” She gestured across the street.

Magister Pregaldin went to the window and looked out. “Oh, Ginko,” he said.

“Why do you live here?” Thorn said. “There are lots better places.”

The magister gave a brief, grim little smile. “Early warning system,” he said. “As long as the Garden is allowed to stay in business, no one is going to care about the likes of me.” He frowned sternly. “Unless you get me in trouble.”

“Why didn’t you bribe him? He would have gone away.”