text: As soon as Shoshana arrived at the Marcuse Institute on Saturday morning, she, Dillon, and the Silverback headed over to the island. Hobo was inside the gazebo, leaning against one of the wooden beams that made up its frame.
  
  Hello, Hobo, signed Marcuse once they were all inside. His fingers were fat and some signs were a struggle for him.
  
  Hello, Doctor, Hobo signed back. Marcuse was the only one who required the ape to call him by an honorific instead of his first name. Still, it wasn't as bad as William Lemmon, the ultimate supervisor of Roger Fouts's work with Washoe in the 1970s; Lemmon used to make Washoe and his other ape charges kiss his ring when he arrived, as if he were pope of the chimps.
  
  Picture of Shoshana good, Marcuse signed.
  
  Hobo grinned, showing teeth. Hobo paint! Hobo paint!
  
  Yes. Now will you paint … His hands froze in midair, and Shoshana wondered if he'd decided that he didn't want to see himself caricatured by an ape. After a moment, he began signing again: Dillon?
  
  Hobo turned an appraising set of eyes on the young grad student with the scraggly blond beard. He was wearing a black T-shirt and black jeans, which, Shoshana hoped, weren't the same ones as yesterday. Maybe… maybe…
  
  Dillon looked surprised to be conscripted for this duty, but he moved over to one of the two stools in the gazebo, sat on it, and struck a pose like Rodin's Thinker. Shoshana smiled at the sight.
  
  But Hobo threw his hands up over his head, made a panthoot, and ran on all fours out the gazebo's door. Shoshana looked at Marcuse for permission, he nodded, and she took off after the ape, who was now cowering behind the yellow stone statue of the Lawgiver.
  
  What's wrong? Shoshana asked. She held her arms out to gather Hobo in a hug. What's wrong?
  
  Hobo looked back up at the gazebo, then at Shoshana. No people. No watch, he signed. There weren't many things he was self-conscious about; indeed, it had taken a lot to convince him not to masturbate or defecate in front of visiting dignitaries. But his art was something he was uneasy about, at least while it was being created.
  
  We go away, you paint Dillon?
  
  Hobo was quiet for a moment. Paint Shoshana.
  
  Again? Why?
  
  Shoshana pretty.
  
  She felt herself blushing.
  
  Shoshana have ponytail, added Hobo.
  
  She knew that getting him to paint someone other than her would be better. Otherwise, critics would argue that he'd just stumbled on a random combination of shapes that Marcuse, et al., had decided represented Shoshana, and he simply reproduced those same fixed shapes over and over again to get a reward—not unlike half the cartoonists in the world, Shoshana thought; the guy who drew The Family Circus seemed to have a repertoire of about eight things.
  
  Fine, she signed. Paint me, then Dillon, okay?
  
  Shoshana knew she was outthinking the poor ape; he could, of course, paint her regardless of what she said. After a moment, he signed, Yes yes.
  
  She held out her hand, and he took it, intertwining his fingers with hers. They walked back up to the gazebo, the hot morning sun beating down on them.
  
  "Hobo is going to paint another picture of me," Shoshana announced once they'd passed through the screen door. Marcuse frowned. She switched to signing so Hobo could follow along. And after, Hobo will paint Dillon—right, Hobo?
  
  Hobo lifted his shoulders. Maybe.
  
  "All right," Shoshana said, "everybody out, please. You know he doesn't like an audience."
  
  Marcuse didn't seem happy about taking orders from a subordinate, but he followed Dillon outside. Shoshana looked around the gazebo, double-checking that the additional cameras they'd set up last night could clearly see both Hobo and his canvas. Then she headed for the door, too. As she exited she glanced back, and, to her astonishment, saw Hobo stretching his long arms out in front of him, with fingers interlocked, as if warming up.
  
  And then the artist got down to work.
  
  That special point! How wondrous, but how frustrating, too!
  
  The datastream from it didn't always follow the same path, but it did always end up at the same location—and so I took to intercepting the datastream just before it arrived there.
  
  There had been no repetition of the intriguing bright flashes, and for a long time there was nothing at all I could make sense of in the data pouring forth from that point. But now the datastream had become a reflection of me again. How strange, though! Instead of the constantly changing perspective I'd grown used to, the datastream seemed to focus for extended periods on just a very small portion of reality and … and something was distorted about the passage of time, it seemed. I tried to fathom the significance, if any, of that tiny part of the universe, but then, maddeningly, the datastream turned to gibberish once more …
  
  After they'd finished the snack—which turned out to be oatmeal cookies her mom had gotten from the Mennonites— Caitlin and Dr. Kuroda returned to the basement. Caitlin had switched her eyePod to simplex mode for the break, but now had it back in duplex and was looking again at webspace.
  
  "Okay," said Kuroda, settling into his chair, "we've got a background to the Web made up of cellular automata—but what exactly are the cells? I mean, even if they're just single bits, they still have to come from somewhere."
  
  "Slack storage space?" suggested Caitlin. Hard drives store data in clusters of a fixed size, she knew; the new computer her dad had bought yesterday probably had an NTFS-formatted drive, meaning it used clusters of four kilobytes, and if a file contained only three kilobytes of data, the fourth kilobyte—over eight thousand bits—was left unused.
  
  "No, I don't think so," said Kuroda. "Nothing can read or write to that space; even if there was some way for Web protocols to access slack space on servers, you wouldn't see bits flipping rapidly. No, this must be something out there— something in the data pipes." He paused. "Still, there's nothing I can think of in the Internet's TCP/IP or OSI model that could produce cellular automata. I wonder where they're coming from?"
  
  "Lost packets," Caitlin said suddenly, sitting up straighter.
  
  Kuroda sounded both intrigued and impressed. "Could be."
  
  At any moment, Caitlin knew, hundreds of millions of people are using the Internet. While doing so, their computers send out clusters of bits called data packets—the basic unit of communication on the Web. Each packet contains the address of its intended destination, which might, for instance, be the server hosting a Web page. But traffic on the Web almost never goes directly from point A to point B. Instead, it bounces around on multilegged journeys, passing through routers, repeaters, and switches, each of which tries to direct the packet closer to its intended destination.
  
  Sometimes the routing gets awfully complex, especially when packets are rejected by the place they were sent to. That can happen when two or more packets arrive at the same time: one is chosen at random to be accepted and the others are sent back out to try their luck again later. But some packets never get accepted by their intended destinations because the address they've been sent to is invalid, or the target site is down or too busy, and so they end up being lost.
  
  "Lost packets," repeated Kuroda, as if trying the notion on for size. Caitlin imagined he was shaking his head. "But lost packets just expire."
  
  And indeed they mostly do, she knew: each packet has a "hop counter" coded into it, and that counter is reduced by one every time the packet passes through a router or other device. To keep lost packets from clogging up the Web infrastructure, when a router receives a packet whose hop counter has reached zero, it erases the packet.
  
  "Lost packets are supposed to expire," Caitlin corrected, "but what if the packet is corrupted so that it no longer has a hop counter, or that counter doesn't decrement properly? I imagine some portion of packets get corrupted like that, by faulty routers or bad wiring or buggy software, and, with trillions of them going out each day, even if only a very tiny proportion ended up with broken hop counters, that would still leave huge numbers kicking around forever, right? Especially if their intended destination simply doesn't exist, either because the address has been corrupted along with the hop counter, or the server has gone offline."
  
  "You know a lot about networks," Kuroda said, sounding impressed.
  
  "Hey, who do you think set up the one in this house?"
  
  "I'd assume your father …"
  
  "Oh, he's good at networking now," she said. "I taught him. But really, he's a theoretical physicist. He can barely operate the microwave."
  
  Kuroda's chair squeaked. "Ah."
  
  She felt herself getting excited; she was on to something— she knew it! "Anyway, there are probably always some … some ghost packets that persist long after they should have died. And think about that thing that happened in China recently: a huge, huge portion of the Web was cut off because of those power failures, or whatever. Hundreds of trillions of packets intended for China suddenly had no way to get to their destinations. Even if only a tiny fraction of those got suitably corrupted, it would still mean a huge increase in the number of ghost packets."
  
  " 'Ghost packets,' eh?" Kuroda had brought a cup of coffee downstairs with him, and she heard it clatter; he must have just taken a sip. "Perhaps. Maybe a bug in some operating system or common router has been generating them for years under certain circumstances, for all we know—a benign bug that doesn't inconvenience users might never have been noticed."
  
  He shifted in his chair, then: "Or maybe they aren't immortal packets at all. Maybe this is just the normal ebb and flow of lost packets that will expire, and while they're bouncing around trying in vain to reach their destination their time-to-live counters do decrement normally, but it's the switch from odd to even counts with each handoff that causes them to flip from black to white in your perception. You'd still get as many as 256 permutations out of each doomed packet—that's the maximum number of hops that can be coded for, because packets use an eight-bit field to store that value. But that's still a goodly number of iterations for a cellular-automata rule."
  
  He paused, then blew out air noisily; Caitlin could almost hear him shrug. "But this is way out of my area," he continued. "I'm an information theorist, not a network theorist, and—"
  
  She laughed.
  
  "What?" said Kuroda.
  
  "Sorry. Do you ever watch The Simpsons?"
  
  "No, not really. But my daughter does."
  
  "The time Homer ended up becoming an astronaut? These two newscasters are talking about the crew of a space mission. The first guy says, 'They're a colorful bunch. They've been dubbed "The Three Musketeers," heh heh heh.' And the other guy—it's Tom Brokaw—says, 'And we laugh legitimately: there's a mathematician, a different kind of mathematician, and a statistician.'"
  
  Kuroda chuckled then said, "Well, actually, there are three types of mathematicians: those who can count and those who can't."
  
  Caitlin smiled.
  
  "But, seriously, Miss Caitlin, if you go into a career in math or engineering, you will have to choose a specialty."
  
  She kept her voice deadpan. "I'm going to focus on the number 8,623,721—I bet nobody's taken that one yet."
  
  Kuroda made his wheezy chuckle again. "Still, I think we need to talk to a specialist. Let's see, in Israel it's … hey, it's only 8:00 p.m. She might be around."
  
  "Who? Anna?"
  
  "Exactly: Anna Bloom, the network cartographer. I'll IM her to see if she's online. Does this new computer have a webcam?"
  
  "I suspect my dad didn't think I'd have much use for one," she said gently.
  
  "Well, he—ah! He's more of an optimist than you think, Miss Caitlin. There's one right here, sitting on top of the tower." He used the keyboard for a few moments, then: "Yup, she's at home and online. Let me get a webcam call going …"
  
  "Konnichi wa, Masayukisan!" said the same voice Caitlin had heard on the speakerphone the night she'd seen the Web for the first time. But the woman immediately switched to English, presumably when she saw that he was with a Westerner. "Hey, who's the sweet young thing?"
  
  Dr. Kuroda sounded slightly embarrassed. "This is Miss Caitlin." Of course, Anna hadn't seen her when they'd spoken before.
  
  Anna sounded surprised. "Where are you?"
  
  "Canada."
  
  "Oooh! Is it snowing?"
  
  "Not yet," said Kuroda. "It's still September, after all."
  
  "Hi, Caitlin," Anna said.
  
  "Hello, Professor Bloom."
  
  "You can call me Anna. So, what can I do for you?"
  
  Kuroda recounted what they'd dreamed up so far: legions of ghost packets floating in the background of the Web, somehow self-organizing into cellular automata. Then: "So, what do you think?"
  
  "It's a novel idea," Anna said slowly.
  
  "Could it work?" asked Caitlin.
  
  "I … suppose. It's a classic Darwinian scenario, isn't it? Mutant packets that are better able to survive bouncing around endlessly. But the Web is expanding fast, with new servers added each day, so a slowly growing population of these ghost packets might never overwhelm its capacity—or, at least, it clearly hasn't yet."
  
  "And the Web has no white blood cells tracking down useless stuff," said Caitlin. "Right? They would just persist, bouncing around."
  
  "I guess," said Anna. "And—just blue-skying here—but the checksum on the packet could determine if you're seeing it as black or white; even-number checksums could be black and odd-number ones white, or whatever. If the hop counter changes with each hop, but never goes to zero, the checksum would change, too, and so you'd get a flipping effect."
  
  "I thought of something similar," Kuroda said, "although the checksum didn't occur to me."
  
  "And," Caitlin said to Dr. Kuroda, "you said cellular-automata rules can arise naturally, right? Like with that snail that uses them to paint its shell? So maybe all of this just spontaneously emerged."
  
  "Maybe indeed," said Kuroda, sounding intrigued.
  
  "I think I smell a paper," said Anna.
  
  "You want to be a mathematician when you grow up, right, Miss Caitlin?" asked Kuroda.
  
  I am a mathematician, she thought. But what she said was, "Yes."
  
  "How'd you like to get the jump on the competition and coauthor your first paper with Professor Bloom and me? 'Spontaneous Generation of Cellular Automata in the Infrastructure of the World Wide Web.'"
  
  Caitlin was grinning from ear to ear. "Sweet!"