Siobhan Roberts in the New York Times:
It’s been a year of endless einsteins. In March, a troupe of mathematical tilers announced that they had discovered an “aperiodic monotile,” a shape that can tile an infinite flat surface in a pattern that does not repeat — “einstein” is the geometric term of art for this entity. David Smith, a shape hobbyist in England who made the original discovery and investigated it with three collaborators possessing mathematical and computational expertise, nicknamed it “the hat.” (The hat tiling allows for reflections: the hat-shaped tile and its mirror image.)
Now, the results are in from a contest run by the National Museum of Mathematics in New York and the United Kingdom Mathematics Trust in London, which asked members of the public for their most creative renditions of an einstein. A panel of judges assessed 245 submissions from 32 countries. Three winners were chosen, and, on Tuesday, there will be a ceremony at the House of Commons in London. (Each winner receives an award of 5,000 British pounds; nine finalists receive 1,000 pounds.)
More here.

Natural Selection is the pressure that drives evolution up the slopes of Mount Improbable. Pressure really is rather a good metaphor. We speak of ‘selection pressure’, and you can almost feel it pushing a species to evolve, shoving it up the gradients of the mountain. Predators, we say, provided the selection pressure that drove antelopes to evolve their fast running legs. Even as we speak, though, we remember what this really means: genes for short legs are more likely to end up in predators’ bellies and therefore the world becomes less full of them. ‘Pressure’ from choosy females drove the evolution of male pheasants’ sumptuous feathers. What this means is that a gene for a beautiful feather is especially likely to find itself riding a sperm into a female’s body. But we think of it as a ‘pressure’ driving males towards greater beauty. No doubt predators provided a selection pressure in the opposite direction, towards duller plumage, since bright males would presumably attract predator, as well as female, eyes. Without the pressure from predators the cocks would be even brighter and more extravagant under pressure from females. Selection pressures, then, can push in opposite directions, or in the same direction or even (mathematicians can find ways of visualizing this) at any other ‘angle’ relative to one another, Selection pressures, moreover, can be ‘strong’ or ‘weak’, and the ordinary language meanings of these words fit well. The particular path up Mount Improbable that a lineage takes will be influenced by lots of different selection pressures, pushing and tugging in different directions and with different strengths, sometimes cooperating with each other, sometimes opposing.
At 11am local time on 13 December, countries adopted the text of an agreement that calls for “transitioning away from fossil fuels in energy systems, in a just, orderly and equitable manner, accelerating action in this critical decade, so as to achieve net zero by 2050 in keeping with the science.”
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Baudelaire’s early suspicion that he had been born under a dark star seemed to be fulfilling itself. He considered becoming a monk but instead went to Belgium. “One becomes a Belgian through having sinned,” he quipped. “A Belgian is his own hell.” While walking to a church one day with the artist Félicien Rops, Baudelaire collapsed. Returning to Paris, he died in 1867 at the age of forty-six. The funeral was held in Montparnasse. Only sixty people showed up to honor the greatest poet France has ever created, but one of the mourners was Manet. Later, the journalist Victor Noir wrote, “in his last moments, his best friend was M. Manet; it was because the two natures understood each other so well.”
Practicing yoga nidra—a kind of mindfulness training—might improve sleep, cognition, learning, and memory, even in novices, according to a pilot study published in the open-access journal PLOS ONE on December 13 by Karuna Datta of the Armed Forces Medical College in India, and colleagues. After a two-week intervention with a cohort of novice practitioners, the researchers found that the percentage of delta-waves in deep sleep increased and that all tested cognitive abilities improved.
In the nineteen-seventies, Bruce Ames, a biochemist at Berkeley, devised a way to test whether a chemical might cause cancer. Various tenets of cancer biology were already well established. Cancer resulted from genetic mutations—changes in a cell’s DNA sequence that typically cause the cell to divide uncontrollably. These mutations could be inherited, induced by viruses, or generated by random copying errors in dividing cells. They could also be produced by physical or chemical agents: radiation, ultraviolet light, benzene. One day, Ames had found himself reading the list of ingredients on a package of potato chips, and wondering how safe the chemicals used as preservatives really were.
Before Erwin Schrödinger’s cat was simultaneously dead and alive, and before pointlike electrons washed like waves through thin slits, a somewhat lesser-known experiment lifted the veil on the bewildering beauty of the quantum world. In 1922, the German physicists Otto Stern and Walther Gerlach demonstrated that the behavior of atoms was governed by rules that defied expectations — an observation that cemented the still-budding theory of quantum mechanics.
MacGowan died last week at the age of sixty-five, and to many it seemed a small miracle that he lived as long as that. His fame as a drinker was almost as great as his fame as a songwriter and performer, and all that dissipation took a toll. For one thing, it could make him sound mean. In Julien Temple’s 2020 documentary, Crock of Gold: A Few Rounds With Shane MacGowan, we see him insult his wife and friends. He is in a wheelchair, frail, and white as a sheet, making his friend (and the film’s producer) Johnny Depp, only five years younger, seem like the very image of youthful vigor by contrast. “You can be a right bitch,” he tells his wife Victoria. “But you really are very, very nice. And beautiful.”
THIS PAST JULY, the University of Chicago’s National Opinion Research Center (NORC) and the Associated Press published the results of a
Here is a partial list of the not-medically-trained people who made the medical determination that terminating Kate Cox’s 20-plus-week-old pregnancy would not fall under an approved exception to Texas’
e cells have given 15 people with once-debilitating