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Below the browsing menu and list of categories, you'll find the My Magazines section, which contains the publications you're currently looking at, plus issues you've downloaded.

(The desktop version of News+ handles things better — there's a persistent search bar in the upper left corner of the app.)

To find a specific title in News+ (without scrolling anyhow), head over to the Following tab directly to the right of the News+ in the News app. On that screen, there's a search field, and you can type in publication titles to bring up content from both News+ and the free News section

The most frequently used section of News+ figures to be My Magazines, though to be truly useful, it's going to need a little fine tuning.

Whatever magazine I started reading in News Plus — whether it was the latest Vanity Fair or the New Republic — would pop in My Magazines  under Reading Now.

At present, it appears the only way to make a magazine stay in My Magazines is to download it from the cloud, something you do by tapping the cloud icon next to the cover. I couldn't find any way to designate a magazine as one of my favorites from within News+, so if I want to find a new issue or revisit an old one, I'm left with Apple's clunky search feature

Speaking of back issues, when you're within a magazine in News+, just tap the magazine's title at the top of the screen. You'll see a list of previous issues for that title, and in some cases, you'll see current headlines and articles from that publication's website

Select a current issue of a magazine, and you'll get a title page with a tappable table of contents. In most cases, there's no description for the article, so you'll just have to hope that the headline you're tapping on gives you a good idea of what to expect

From within the article, a Next button lets you skip ahead to the next story in an issue, while an Open button returns you to the table of contents.

Be aware that some publications, such as New Republic, simply feature PDFs of their current issues instead of formats optimized for digital devices

The New Yorker splits the difference, with no table of contents and PDFs of ad pages from the print magazine interspersed between scrollable articles. I

You have the option of signifying that you love or hate stories, which will help fine-tune News+'s recommendations, and you can add many articles to your Safari reading list

The lines between what's free and what's paid also seem a bit blurred, even with the separate News+ tab

how frequently is new content going to surface on News+? Will all back issues get the unappealing PDF treatment

The Pew Research Center survey asked people different questions but found similar doubts about AI. Just 15 percent of respondents said they were more excited than concerned about the increasing use of AI in daily life.

“It’s fantastic that there is public skepticism about AI. There absolutely should be,” said Meredith Broussard, an artificial intelligence researcher and professor at New York University.

Broussard said there can be no way to design artificial intelligence software to make inherently human decisions, like grading students’ tests or determining the course of medical treatment.

Most Americans essentially agree with Broussard that AI has a place in our lives, but not for everything.

Most people said it was a bad idea to use AI for military drones that try to distinguish between enemies and civilians or trucks making local deliveries without human drivers. Most respondents said it was a good idea for machines to perform risky jobs such as coal mining.

Roman Yampolskiy, an AI specialist at the University of Louisville engineering school, told me he’s concerned about how quickly technologists are building computers that are designed to “think” like the human brain and apply knowledge not just in one narrow area, like recommending Netflix movies, but for complex tasks that have tended to require human intelligence.

“We have an arms race between multiple untested technologies. That is my concern,” Yampolskiy said. (If you want to feel terrified, I recommend Yampolskiy’s research paper on the inability to control advanced AI.)

The term “AI” is a catch-all for everything from relatively uncontroversial technology, such as autocomplete in your web search queries, to the contentious software that promises to predict crime before it happens. Our fears about the latter might be overwhelming our beliefs about the benefits from more mundane AI.

that a coming storm will sweep elites from power

and that violence might be necessary to save the country.

In October 2021, 17 percent of Americans believed in the conspiracy theory, up from 14 percent in March

the percentage of people who rejected QAnon falsehoods shrank to 34 percent in October from 40 percent in March

After Mr. Trump lost the 2020 presidential election, QAnon was expected to be hobbled without him. But it has persisted despite that and despite efforts by tech platforms to staunch its spread. Forensic linguists have also tried to unmask and defang the anonymous author who signed online messages as Q.

Robert P. Jones, the founder and chief executive of the research group and a social science researcher with decades of experience, said he never expected to be dealing with serious survey questions about whether powerful American institutions were controlled by devil-worshiping, sex-trafficking pedophiles. To have so many Americans agree with such a question, he said, was “stunning.”

Believers are “racially, religiously and politically diverse,”

Among Republicans, 25 percent found QAnon to be valid, compared with 14 percent of independents and 9 percent of Democrats.

Media preferences were a major predictor of QAnon susceptibility, with people who trust far-right news sources such as One America News Network and Newsmax nearly five times more likely to be believers than those who trust mainstream news

Fox News viewers were twice as likely to back QAnon ideas

Most QAnon believers associated Christianity with being American and said that the United States risked losing its culture and identity and must be protected from foreign influence

seven in 10 believers agreed with the lie that the 2020 election was stolen from Mr. Trump.

More than half of QAnon supporters are white, while 20 percent are Hispanic and 13 percent are Black.

They were most likely to have household incomes of less than $50,000 a year, hold at most a high school degree, hail from the South and reside in a suburb.

An aperiodic tiling displays no such “translational symmetry,” and mathematicians have long sought a single shape that could tile the plane in such a fashion. This is known as the einstein problem.

black and white squares also can make weird nonperiodic patterns, in addition to the familiar, periodic checkerboard pattern. “It’s really pretty trivial to be able to make weird and interesting patterns,” he said. The magic of the two Penrose tiles is that they make only nonperiodic patterns — that’s all they can do.“But then the Holy Grail was, could you do with one — one tile?” Dr. Goodman-Strauss said.

now a new paper — by Mr. Smith and three co-authors with mathematical and computational expertise — proves Mr. Smith’s discovery true. The researchers called their einstein “the hat,

“The most significant aspect for me is that the tiling does not clearly fall into any of the familiar classes of structures that we understand.”

“I’m always messing about and experimenting with shapes,” said Mr. Smith, 64, who worked as a printing technician, among other jobs, and retired early. Although he enjoyed math in high school, he didn’t excel at it, he said. But he has long been “obsessively intrigued” by the einstein problem.

Sir Roger found the proofs “very complicated.” Nonetheless, he was “extremely intrigued” by the einstein, he said: “It’s a really good shape, strikingly simple.”

The simplicity came honestly. Mr. Smith’s investigations were mostly by hand; one of his co-authors described him as an “imaginative tinkerer.”

When in November he found a tile that seemed to fill the plane without a repeating pattern, he emailed Craig Kaplan, a co-author and a computer scientist at the University of Waterloo.

“It was clear that something unusual was happening with this shape,” Dr. Kaplan said. Taking a computational approach that built on previous research, his algorithm generated larger and larger swaths of hat tiles. “There didn’t seem to be any limit to how large a blob of tiles the software could construct,”

The first step, Dr. Kaplan said, was to “define a set of four ‘metatiles,’ simple shapes that stand in for small groupings of one, two, or four hats.” The metatiles assemble into four larger shapes that behave similarly. This assembly, from metatiles to supertiles to supersupertiles, ad infinitum, covered “larger and larger mathematical ‘floors’ with copies of the hat,” Dr. Kaplan said. “We then show that this sort of hierarchical assembly is essentially the only way to tile the plane with hats, which turns out to be enough to show that it can never tile periodically.”

some might wonder whether this is a two-tile, not one-tile, set of aperiodic monotiles.

Dr. Goodman-Strauss had raised this subtlety on a tiling listserv: “Is there one hat or two?” The consensus was that a monotile counts as such even using its reflection. That leaves an open question, Dr. Berger said: Is there an einstein that will do the job without reflection?

“the hat” was not a new geometric invention. It is a polykite — it consists of eight kites. (Take a hexagon and draw three lines, connecting the center of each side to the center of its opposite side; the six shapes that result are kites.)

“It’s likely that others have contemplated this hat shape in the past, just not in a context where they proceeded to investigate its tiling properties,” Dr. Kaplan said. “I like to think that it was hiding in plain sight.”

Incredibly, Mr. Smith later found a second einstein. He called it “the turtle” — a polykite made of not eight kites but 10. It was “uncanny,” Dr. Kaplan said. He recalled feeling panicked; he was already “neck deep in the hat.”

Dr. Myers, who had done similar computations, promptly discovered a profound connection between the hat and the turtle. And he discerned that, in fact, there was an entire family of related einsteins — a continuous, uncountable infinity of shapes that morph one to the next.

this einstein family motivated the second proof, which offers a new tool for proving aperiodicity. The math seemed “too good to be true,” Dr. Myers said in an email. “I wasn’t expecting such a different approach to proving aperiodicity — but everything seemed to hold together as I wrote up the details.”

Mr. Smith was amazed to see the research paper come together. “I was no help, to be honest.” He appreciated the illustrations, he said: “I’m more of a pictures person.”

What happened in 2012, when the oldest Gen-Z babies were in their middle teens? That was the year Facebook acquired Instagram and young people flocked to the latter site. It was also “the beginning of the selfie era.”

Mr. Haidt’s research, confirmed by that of others, shows that depression rates started to rise “all of a sudden” around 2013, “especially for teen girls,” but “it’s only Gen Z, not the older generations.” If you’d stopped collecting data in 2011, he says, you’d see little change from previous years. “By 2015 it’s an epidemic.” (His data are available in an open-source document.)

Mr. Haidt imagines “literally launching our children into outer space” and letting their bodies grow there: “They would come out deformed and broken. Their limbs wouldn’t be right. You can’t physically grow up in outer space. Human bodies can’t do that.” Yet “we basically do that to them socially. We launched them into outer space around the year 2012,” he says, “and then we expect that they will grow up normally without having normal human experiences.”

He calls this phenomenon “compare and despair” and says: “It seems social because you’re communicating with people. But it’s performative. You don’t actually get social relationships. You get weak, fake social links.”

That meant the first social-media generation was one of “weakened kids” who “hadn’t practiced the skills of adulthood in a low-stakes environment” with other children. They were deprived of “the normal toughening, the normal strengthening, the normal anti-fragility.

Now, their childhood “is largely just through the phone. They no longer even hang out together.” Teenagers even drive less than earlier generations did.

Mr. Haidt especially worries about girls. By 2020 more than 25% of female teenagers had “a major depression.” The comparable number for boys was just under 9%.

The comparable numbers for millennials at the same age registered at half the Gen-Z rate: about 13% for girls and 5% for boys. “Kids are on their devices all the time,”

Most girls, by contrast, are drawn to “visual platforms,” Instagram and TikTok in particular. “Those are about display and performance. You post your perfect life, and then you flip through the photos of other girls who have a more perfect life, and you feel depressed.

Mr. Haidt says he has no antipathy toward the young, and he calls millennials “amazing.”

“Social media is incompatible with liberal democracy because it has moved conversation, and interaction, into the center of the Colosseum. We’re not there to talk to each other. We’re there to perform” before spectators who “want blood.”

To illustrate his point about Gen Z, Mr. Haidt challenges people to name young people today who are “really changing the world, who are doing big things that have an impact beyond their closed ecosystem.”

He can think of only two, neither of them American: Greta Thunberg, 19, the Swedish climate militant, and Malala Yousafzai, 25, the Pakistani advocate for female education

I’m predicting that they will be less effective, less impactful, than previous generations.” Why? “You should always keep your eye on whether people are in ‘discover mode’ or ‘defend mode.’ ” In the former mode, you seize opportunities to be creative. In the latter, “you’re not creative, you’re not future-thinking, you’re focused on threats in the present.”

University students who matriculated starting in 2014 or so have arrived on campus in defend mode: “Here they are in the safest, most welcoming, most inclusive, most antiracist places on the planet, but many of them were acting like they were entering some sort of dystopian, threatening, immoral world.”

56% of liberal women 18 to 29 responded affirmatively to the question: Has a doctor or other healthcare provider ever told you that you have a mental health condition? “Some of that,” Mr. Haidt says, “has to be just self-presentational,” meaning imagined.

This new ideology . . . valorizes victimhood. And if your sub-community motivates you to say you have an anxiety disorder, how is this going to affect you for the rest of your life?” He answers his own question: “You’re not going to take chances, you’re going to ask for accommodations, you’re going to play it safe, you’re not going to swing for the fences, you’re not going to start your own company.”

Whereas millennial women are doing well, “Gen-Z women, because they’re so anxious, are going to be less successful than Gen-Z men—and that’s saying a lot, because Gen-Z men are messed up, too.”

The problem, he says, is distinct to the U.S. and other English-speaking developed countries: “You don’t find it as much in Europe, and hardly at all in Asia.” Ideas that are “nurtured around American issues of race and gender spread instantly to the U.K. and Canada. But they don’t necessarily spread to France and Germany, China and Japan.”

something I hear from a lot of managers, that it’s very difficult to supervise their Gen-Z employees, that it’s very difficult to give them feedback.” That makes it hard for them to advance professionally by learning to do their jobs better.

“this could severely damage American capitalism.” When managers are “afraid to speak up honestly because they’ll be shamed on Twitter or Slack, then that organization becomes stupid.” Mr. Haidt says he’s “seen a lot of this, beginning in American universities in 2015. They all got stupid in the same way. They all implemented policies that backfire.”

Mr. Haidt, who describes himself as “a classical liberal like John Stuart Mill,” also laments the impact of social media on political discourse

Social media and selfies hit a generation that had led an overprotected childhood, in which the age at which children were allowed outside on their own by parents had risen from the norm of previous generations, 7 or 8, to between 10 and 12.

Is there a solution? “I’d raise the age of Internet adulthood to 16,” he says—“and enforce it.”

By contrast, “life went onto phone-based apps 10 years ago, and the protections we have for children are zero, absolutely zero.” The damage to Generation Z from social media “so vastly exceeds the damage from Covid that we’re going to have to act.”

Gen Z, he says, “is not in denial. They recognize that this app-based life is really bad for them.” He reports that they wish they had childhoods more like those of their parents, in which they could play outside and have adventur

The corporate gig, as a social media director for a tech platform, was a revelation. “I could just show up to work and do work,” Ms. Tilghman said. After she was done, she could leave. She didn’t have to be a brand. There’s no comments section at an office job.

In 2019, a Morning Consult report found that 54 percent of Gen Z and millennial Americans were interested in becoming influencers. (Eighty-six percent said they would be willing to post sponsored content for money.)

If social media has made audiences anxious, it’s driving creators to the brink. In 2021, the TikTok breakout star Charli D’Amelio said she had “lost the passion” for posting videos. A few months later, Erin Kern announced to her 600,000 Instagram followers that she would be deactivating her account @cottonstem; she had been losing her hair, and her doctors blamed work-induced stress

Other influencers faded without fanfare — teens whose mental health had taken too much of a hit and amateur influencers who stopped posting after an algorithm tweak tanked their metrics. Some had been at this for a decade or more, starting at 12 or 14 or 19.

She posted less, testing out new identities that she hoped wouldn’t touch off the same spiral that wellness had. There were dancing videos, dog photos, interior design. None of it stuck. (“You can change the niche, but you’re still going to be performing your life for content,” she explained over lunch.)

Ms. Tilghman’s problem — as the interest in the workshop, which she decided to cap at 15, demonstrated — is that she has an undeniable knack for this. In 2022, she started a Substack to continue writing, thinking of it as a calling card while she applied to editorial jobs; it soon amassed 20,000 subscribers. It once had a different name, but now it’s called “Offline Time.” The paid tier costs $5 a month.

Casey Lewis, who helms the After School newsletter about Gen Z consumer trends, predicts more pivots and exits. TikTok has elevated creators faster than other platforms and burned them out quicker, she said.

Ms. Lewis expects a swell of former influencers taking jobs with P.R. agencies, marketing firms and product development conglomerates. She pointed out that creators have experience not just in video and photo editing, but in image management, crisis communication and rapid response. “Those skills do transfer,” she said.