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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.”

Gelfand and Harrington predicted that “‘tight’ states would exhibit a higher incidence of natural disasters, greater environmental vulnerability, fewer natural resources, greater incidence of disease and higher mortality rates, higher population density, and greater degrees of external threat.”

The South dominated the tight states: Mississippi, Alabama Arkansas, Oklahoma, Tennessee, Texas, Louisiana, Kentucky, South Carolina and North Carolina

states in New England and on the West Coast were the loosest: California, Oregon, Washington, Maine, Massachusetts, Connecticut, New Hampshire and Vermont.

Cultural differences, Gelfand continued, “have a certain logic — a rationale that makes good sense,” noting that “cultures that have threats need rules to coordinate to survive (think about how incredibly coordinated Japan is in response to natural disasters).

“Rule Makers, Rule Breakers: How Tight and Loose Cultures Wire the World” in 2018, in which she described the results of a 2016 pre-election survey she and two colleagues had commissioned

The results were telling: People who felt the country was facing greater threats desired greater tightness. This desire, in turn, correctly predicted their support for Trump. In fact, desired tightness predicted support for Trump far better than other measures. For example, a desire for tightness predicted a vote for Trump with 44 times more accuracy than other popular measures of authoritarianism.

The 2016 election, Gelfand continued, “turned largely on primal cultural reflexes — ones that had been conditioned not only by cultural forces, but by a candidate who was able to exploit them.”

Gelfand said:Some groups have much stronger norms than others; they’re tight. Others have much weaker norms; they’re loose. Of course, all cultures have areas in which they are tight and loose — but cultures vary in the degree to which they emphasize norms and compliance with them.

In both 2016 and 2020, Donald Trump carried all 10 of the top “tight” states; Hillary Clinton and Joe Biden carried all 10 of the top “loose” states.

The tight-loose concept, Gelfand argued,is an important framework to understand the rise of President Donald Trump and other leaders in Poland, Hungary, Italy, and France,

cultures that don’t have a lot of threat can afford to be more permissive and loose.”

The gist is this: when people perceive threat — whether real or imagined, they want strong rules and autocratic leaders to help them survive

My research has found that within minutes of exposing study participants to false information about terrorist incidents, overpopulation, pathogen outbreaks and natural disasters, their minds tightened. They wanted stronger rules and punishments.

Gelfand writes that tightness encourages conscientiousness, social order and self-control on the plus side, along with close-mindedness, conventional thinking and cultural inertia on the minus side.

Looseness, Gelfand posits, fosters tolerance, creativity and adaptability, along with such liabilities as social disorder, a lack of coordination and impulsive behavior.

If liberalism and conservatism have historically played a complementary role, each checking the other to constrain extremism, why are the left and right so destructively hostile to each other now, and why is the contemporary political system so polarized?

Along the same lines, if liberals and conservatives hold differing moral visions, not just about what makes a good government but about what makes a good life, what turned the relationship between left and right from competitive to mutually destructive?

As a set, Niemi wrote, conservative binding values encompassthe values oriented around group preservation, are associated with judgments, decisions, and interpersonal orientations that sacrifice the welfare of individuals

She cited research thatfound 47 percent of the most extreme conservatives strongly endorsed the view that “The world is becoming a more and more dangerous place,” compared to 19 percent of the most extreme liberals

Conservatives and liberals, Niemi continued,see different things as threats — the nature of the threat and how it happens to stir one’s moral values (and their associated emotions) is a better clue to why liberals and conservatives react differently.

Unlike liberals, conservatives strongly endorse the binding moral values aimed at protecting groups and relationships. They judge transgressions involving personal and national betrayal, disobedience to authority, and disgusting or impure acts such as sexually or spiritually unchaste behavior as morally relevant and wrong.

Underlying these differences are competing sets of liberal and conservative moral priorities, with liberals placing more stress than conservatives on caring, kindness, fairness and rights — known among scholars as “individualizing values

conservatives focus more on loyalty, hierarchy, deference to authority, sanctity and a higher standard of disgust, known as “binding values.”

Niemi contended that sensitivity to various types of threat is a key factor in driving differences between the far left and far right.

For example, binding values are associated with Machiavellianism (e.g., status-seeking and lying, getting ahead by any means, 2013); victim derogation, blame, and beliefs that victims were causal contributors for a variety of harmful acts (2016, 2020); and a tendency to excuse transgressions of ingroup members with attributions to the situation rather than the person (2023).

Niemi cited a paper she and Liane Young, a professor of psychology at Boston College, published in 2016, “When and Why We See Victims as Responsible: The Impact of Ideology on Attitudes Toward Victims,” which tested responses of men and women to descriptions of crimes including sexual assaults and robberies.

We measured moral values associated with unconditionally prohibiting harm (“individualizing values”) versus moral values associated with prohibiting behavior that destabilizes groups and relationships (“binding values”: loyalty, obedience to authority, and purity)

Increased endorsement of binding values predicted increased ratings of victims as contaminated, increased blame and responsibility attributed to victims, increased perceptions of victims’ (versus perpetrators’) behaviors as contributing to the outcome, and decreased focus on perpetrators.

A central explanation typically offered for the current situation in American politics is that partisanship and political ideology have developed into strong social identities where the mass public is increasingly sorted — along social, partisan, and ideological lines.

What happened to people ecologically affected social-political developments, including the content of the rules people made and how they enforced them

Just as ecological factors differing from region to region over the globe produced different cultural values, ecological factors differed throughout the U.S. historically and today, producing our regional and state-level dimensions of culture and political patterns.

Joshua Hartshorne, who is also a professor of psychology at Boston College, took issue with the binding versus individualizing values theory as an explanation for the tendency of conservatives to blame victims:

I would guess that the reason conservatives are more likely to blame the victim has less to do with binding values and more to do with the just-world bias (the belief that good things happen to good people and bad things happen to bad people, therefore if a bad thing happened to you, you must be a bad person).

Belief in a just world, Hartshorne argued, is crucial for those seeking to protect the status quo:It seems psychologically necessary for anyone who wants to advocate for keeping things the way they are that the haves should keep on having, and the have-nots have got as much as they deserve. I don’t see how you could advocate for such a position while simultaneously viewing yourself as moral (and almost everyone believes that they themselves are moral) without also believing in the just world

Conversely, if you generally believe the world is not just, and you view yourself as a moral person, then you are likely to feel like you have an obligation to change things.

I asked Lene Aaroe, a political scientist at Aarhus University in Denmark, why the contemporary American political system is as polarized as it is now, given that the liberal-conservative schism is longstanding. What has happened to produce such intense hostility between left and right?

There is variation across countries in hostility between left and right. The United States is a particularly polarized case which calls for a contextual explanatio

I then asked Aaroe why surveys find that conservatives are happier than liberals. “Some research,” she replied, “suggests that experiences of inequality constitute a larger psychological burden to liberals because it is more difficult for liberals to rationalize inequality as a phenomenon with positive consequences.”

Numerous factors potentially influence the evolution of liberalism and conservatism and other social-cultural differences, including geography, topography, catastrophic events, and subsistence styles

Steven Pinker, a professor of psychology at Harvard, elaborated in an email on the link between conservatism and happiness:

t’s a combination of factors. Conservatives are likelier to be married, patriotic, and religious, all of which make people happier

They may be less aggrieved by the status quo, whereas liberals take on society’s problems as part of their own personal burdens. Liberals also place politics closer to their identity and striving for meaning and purpose, which is a recipe for frustration.

Some features of the woke faction of liberalism may make people unhappier: as Jon Haidt and Greg Lukianoff have suggested, wokeism is Cognitive Behavioral Therapy in reverse, urging upon people maladaptive mental habits such as catastrophizing, feeling like a victim of forces beyond one’s control, prioritizing emotions of hurt and anger over rational analysis, and dividing the world into allies and villains.

Why, I asked Pinker, would liberals and conservatives react differently — often very differently — to messages that highlight threat?

It may be liberals (or at least the social-justice wing) who are more sensitive to threats, such as white supremacy, climate change, and patriarchy; who may be likelier to moralize, seeing racism and transphobia in messages that others perceive as neutral; and being likelier to surrender to emotions like “harm” and “hurt.”

While liberals and conservatives, guided by different sets of moral values, may make agreement on specific policies difficult, that does not necessarily preclude consensus.

there are ways to persuade conservatives to support liberal initiatives and to persuade liberals to back conservative proposals:

While liberals tend to be more concerned with protecting vulnerable groups from harm and more concerned with equality and social justice than conservatives, conservatives tend to be more concerned with moral issues like group loyalty, respect for authority, purity and religious sanctity than liberals are. Because of these different moral commitments, we find that liberals and conservatives can be persuaded by quite different moral arguments

For example, we find that conservatives are more persuaded by a same-sex marriage appeal articulated in terms of group loyalty and patriotism, rather than equality and social justice.

Liberals who read the fairness argument were substantially more supportive of military spending than those who read the loyalty and authority argument.

We find support for these claims across six studies involving diverse political issues, including same-sex marriage, universal health care, military spending, and adopting English as the nation’s official language.”

In one test of persuadability on the right, Feinberg and Willer assigned some conservatives to read an editorial supporting universal health care as a matter of “fairness (health coverage is a basic human right)” or to read an editorial supporting health care as a matter of “purity (uninsured people means more unclean, infected, and diseased Americans).”

Conservatives who read the purity argument were much more supportive of health care than those who read the fairness case.

“political arguments reframed to appeal to the moral values of those holding the opposing political position are typically more effective

In “Conservative and Liberal Attitudes Drive Polarized Neural Responses to Political Content,” Willer, Yuan Chang Leong of the University of Chicago, Janice Chen of Johns Hopkins and Jamil Zaki of Stanford address the question of how partisan biases are encoded in the brain:

society. How do such biases arise in the brain? We measured the neural activity of participants watching videos related to immigration policy. Despite watching the same videos, conservative and liberal participants exhibited divergent neural responses. This “neural polarization” between groups occurred in a brain area associated with the interpretation of narrative content and intensified in response to language associated with risk, emotion, and morality. Furthermore, polarized neural responses predicted attitude change in response to the videos.

The four authors argue that their “findings suggest that biased processing in the brain drives divergent interpretations of political information and subsequent attitude polarization.” These results, they continue, “shed light on the psychological and neural underpinnings of how identical information is interpreted differently by conservatives and liberals.”

The authors used neural imaging to follow changes in the dorsomedial prefrontal cortex (known as DMPFC) as conservatives and liberals watched videos presenting strong positions, left and right, on immigration.

or each video,” they write,participants with DMPFC activity time courses more similar to that of conservative-leaning participants became more likely to support the conservative positio

Conversely, those with DMPFC activity time courses more similar to that of liberal-leaning participants became more likely to support the liberal position. These results suggest that divergent interpretations of the same information are associated with increased attitude polarizatio

Together, our findings describe a neural basis for partisan biases in processing political information and their effects on attitude change.

Describing their neuroimaging method, the authors point out that theysearched for evidence of “neural polarization” activity in the brain that diverges between people who hold liberal versus conservative political attitudes. Neural polarization was observed in the dorsomedial prefrontal cortex (DMPFC), a brain region associated with the interpretation of narrative content.

The question is whether the political polarization that we are witnessing now proves to be a core, encoded aspect of the human mind, difficult to overcome — as Leong, Chen, Zaki and Willer sugges

— or whether, with our increased knowledge of the neural basis of partisan and other biases, we will find more effective ways to manage these most dangerous of human predispositions.

There were plenty of books about Black people, but they tended to be about poor or working-class Black people and often depicted Black lives proscribed by discrimination and inequality

I was aware of two instances of myself in fiction of the time. One was the nerdy teenage middle-class Black girl in Louise Fitzhugh’s “Nobody’s Family Is Going to Change.” Then there was “Sarah Phillips” by Andrea Lee in 1984. That one was a near-sacred experience for me, in depicting a middle-class Black girl who grew up outside Philadelphia, went to Harvard and then moved to Europe. Here was someone I could have been, a variation on some people I knew

But I neither needed nor sought out more such books. How much me did I need? I read to learn about what I didn’t know.

when I started my graduate study, I explicitly did not want to study Black English. It was too close to home.

What fascinated me, and still does, are languages utterly unlike the one I grew up with. This is what I do my academic work on. I am happy to write about Black English, but I do it out of civic duty. What first hooked me on languages was hearing someone speak Hebrew

This idea that one, if brown, is to seek one’s self in what one reads and watches gets around quite a bit.

But still, the idea that Black people are deprived in not exploring what they already relate to is not as natural as it sounds.

This position is rooted, one suspects, as a defense against racism, in a sense that learning most meaningfully takes place within a warm comfort zone of cultural membership. But it’s a wide, wide world out there, and this position ultimately limits the mind and the soul.

I question its necessity in 2023. The etymology of the word “education” is related to the Latin “educere,” meaning to lead outward, not inward.

It can be especially ticklish to hear white people taking up the idea that Black people stray from their selves when taking up things beyond Blackness

I sense the idea that real Blackness means ever seeking yourself in your reading and viewing is a post-1966 thing, to refer to what I wrote here last week.

W.E.B. Du Bois had no such idea. He wrote: “I sit with Shakespeare, and he winces not. Across the color line I move arm in arm with Balzac and Dumas, where smiling men and welcoming women glide in gilded halls. From out the caves of evening that swing between the strong-limbed Earth and the tracery of the stars, I summon Aristotle and Aurelius and what soul I will, and they come all graciously with no scorn nor condescension.”

Du Bois adapted these “white” works to his own needs and predilections. Even the naked racism he lived with daily did not lead him to draw a line around “white” things as something alien to his essence

Rather, he insisted that these works were, in fact, part of his self, regardless of how wider society saw that self or how figures like Shakespeare and Aristotle would have seen him.

Du Bois, in this, was normal. Today I sit with “Succession,” Steely Dan and Saul Bellow, and they wince not. I see myself in none of them. Yes, Bellow had some nasty moments on race, such as a gruesomely prurient scene in “Mr. Sammler’s Planet.” But I’m sorry: I cannot let that one scene — or even two — deprive me of the symphonic reaches of “Herzog” and “Humboldt’s Gift.” What they offer, after all, becomes part of me along with everything else.

the truth is that characters I can see as me are now not uncommon on television in particular. Andre Braugher’s Captain Holt on “Brooklyn Nine-Nine” was about as close to me as I expect a sitcom character ever to be, for example. That was fun. But honestly, I didn’t need it. I live with me. I watch TV to see somebody else.

Making friends can be hard—but there may be more opportunities than we think. Doing these interviews has taught me that connection can come from anywhere, at any time, if both parties are open to it.

“You have to look for friendship in places you would never expect it.”

Paying attention goes a long way when forging these unexpected friendships—noticing when you click with someone, being open to chance encounters.

as much as we may feel like our social networks are set and settled, it’s never too late to meet someone who will be important to you for the rest of your life. I spoke with more than one group who was surprised and grateful to have found one another in middle age, a period when work and family responsibilities tend to peak and keeping up with friends is not always easy.

I’m inspired by the people I’ve spoken with who imagined something different for themselves: the friends who bought a house together, who went to therapy together, who have raised their children together, who committed to an “arranged friendship,” whose friendship has fueled their fight for justice.

they won’t grow without intention. This is the hardest part of friendship. It takes energy and thought, and our mental and physical resources are often spread thin. In other words, friendships take work. But I have never liked framing our friendships as labor. Showing up for our friends takes effort, yes, but it shouldn’t be drudgery. It should be a joy.

One thing that seems to make keeping up with friends easier is ritual. I personally find that the effort of coordinating hangs (or even phone calls) is the biggest barrier to seeing my friends. It’s much easier when something is baked into my schedule, and all I have to do is show up.

Some have organized a book club, a monthly hike, or a regular dinner party. Others have committed to a group chat that runs all day every day, or a Dungeons & Dragons campaign that’s lasted for 30 years. In addition to keeping groups close, these traditions can fuel a friendship and give it a shared culture.

Imagination

Society has a place for friendships, and it’s on the sidelines. They’re supposed to play a supporting role to work, family, and romance. It takes imagination not to default to this norm, and to design your life so that friendship plays the role you really want it to.

Attention only gets you so far without action. When opportunity arises, you have to put yourself out there, and that requires courage, vulnerability, and a willingness to let things be awkward.

The man who gave his friend a kidney and the woman who gave birth to her best friend’s quadruplets remind me that there are friends who choose to love each other radically every day. Their love does not stand on the sidelines.

The beauty and the challenge of friendship is its diversity. A friendship can be whatever you want it to. Each one is a canvas whose only limit is our imagination.

Grace

All of the forces I’ve mentioned so far—accumulation, attention, intention, ritual, and imagination—are ideals. They’re impossible to fully live up to. Life often gets in the way.

I do love the concept of grace, of a gift so profound that it could never be earned or deserved. And so when I cite grace here as the final and most important force in friendships, I mean it in two ways. One is the forgiveness that we offer each other when we fall short. The other is the space that creates for connections—and reconnections—that feel nothing short of miraculous.

Many of the people I spoke with—who, in many cases, love each other so much that they nominated themselves to be interviewed about their friendship—told me that they don’t see each other that often, or that they don’t talk as much as they would like. I’ve come to believe that friendship doesn’t always have to be about presence; it can also be about love that can weather absence.

But absence doesn’t have to last forever. “The Friendship Files” includes many stories of second chances and rekindlings.

Sometimes, people have assumed that I must be a really great friend, given how much time I’ve spent thinking about this. And I’m not. I try to be, but I tend to retreat too much into myself and my romantic relationship and don’t prioritize my friends as much as I’d like to.

Accumulation

Attention

Intention

Ritual

This is the danger of the American dream when you scale it down from the national to the individual level. You risk devoting your life to wanting something because it’s what you’ve been told you should want. Everybody loves a Cinderella story, but sometimes your dream, in reality, is just a wish somebody else’s heart made.

Understanding how empathy can immobilize us like that is a critical step for helping others — and ourselves.

Early researchers labeled it compassion fatigue and described it as the cost of caring.

Having concluded that nothing they do will make a difference, they start to become indifferent.

The symptoms of empathic distress were originally diagnosed in health care, with nurses and doctors who appeared to become insensitive to the pain of their patients.

Empathic distress explains why many people have checked out in the wake of these tragedies

when two neuroscientists, Olga Klimecki and Tania Singer, reviewed the evidence, they discovered that “compassion fatigue” is a misnomer. Caring itself is not costly. What drains people is not merely witnessing others’ pain but feeling incapable of alleviating it.

In times of sustained anguish, empathy is a recipe for more distress, and in some cases even depression. What we need instead is compassion.

empathy and compassion aren’t the same. Empathy absorbs others’ emotions as your own: “I’m hurting for you.”

Compassion focuses your action on their emotions: “I see that you’re hurting, and I’m here for you.”

“Empathy is biased,” the psychologist Paul Bloom writes. It’s something we usually reserve for our own group, and in that sense, it can even be “a powerful force for war and atrocity.”

Dr. Singer and their colleagues trained people to empathize by trying to feel other people’s pain. When the participants saw someone suffering, it activated a neural network that would light up if they themselves were in pain. It hurt. And when people can’t help, they escape the pain by withdrawing.

To combat this, the Klimecki and Singer team taught their participants to respond with compassion rather than empathy — focusing not on sharing others’ pain but on noticing their feelings and offering comfort.

A different neural network lit up, one associated with affiliation and social connection. This is why a growing body of evidence suggests that compassion is healthier for you and kinder to others than empathy:

When you see others in pain, instead of causing you to get overloaded and retreat, compassion motivates you to reach out and help

The most basic form of compassion is not assuaging distress but acknowledging it.

in my research, I’ve found that being helpful has a secondary benefit: It’s an antidote to feeling helpless.

To figure out who needs your support after something terrible happens, the psychologist Susan Silk suggests picturing a dart board, with the people closest to the trauma in the bull’s-eye and those more peripherally affected in the outer rings.

Once you’ve figured out where you belong on the dart board, look for support from people outside your ring, and offer it to people closer to the center.

Even if people aren’t personally in the line of fire, attacks targeting members of a specific group can shatter a whole population’s sense of security.

If you notice that people in your life seem disengaged around an issue that matters to you, it’s worth considering whose pain they might be carrying.

Instead of demanding that they do more, it may be time to show them compassion — and help them find compassion for themselves, too.

Your small gesture of kindness won’t end the crisis in the Middle East, but it can help someone else. And that can give you the strength to help more.

Some of the worst leadership decisions of our time can be traced to escalation of commitment. Many people lost their lives because American presidents pursued a futile war in Vietnam — and continued searching for weapons of mass destruction that weren’t in Iraq.

Escalation of commitment helps to explain why leaders are often so reluctant to loosen their grip on power. Losing a high-status position can make them feel as if they’re losing their place in the world. It leaves them with bruised egos and wounded pride.

we use our big brains not to make rational decisions, but rather to rationalize the decisions we’ve already made

Escalation is likely when people are directly responsible for and publicly attached to a decision, when it has been a long journey and the end is in sight, and when they have reasons to be confident that they can succeed.

President Biden’s current situation checks all those boxes

the people closest to a leader are precisely the ones who are most susceptible to confirmation bias. They’re too personally invested in his success and too likely to dismiss warning signs.

What Mr. Biden needs is not a support network but a challenge network — people who have the will to put the country’s interests ahead of his and the skill to coldly assess his chances.