Day: June 11, 2023

David Smith, a retired print technician from the north of England, was pursuing his hobby of looking for interesting shapes when he stumbled onto one unlike any other in November.  

When Smith shared his shape with the world in March, excited fans printed it onto T-shirts, sewed it into quilts, crafted cookie cutters or used it to replace the hexagons on a soccer ball — some even made plans for tattoos.

The 13-sided polygon, which 64-year-old Smith called “the hat,” is the first single shape ever found that can completely cover an infinitely large flat surface without ever repeating the same pattern.

That makes it the first “einstein” — named after the German for “one stone” (ein stein), not the famed physicist — and solves a problem posed 60 years ago that some mathematicians had thought impossible.

After stunning the mathematics world, Smith — a hobbyist with no training who told AFP that he wasn’t great at math in school — then did it again.

While all agreed “the hat” was the first einstein, its mirror image was required one in seven times to ensure that a pattern never repeated.

But in a preprint study published online late last month, Smith and the three mathematicians who helped him confirm the discovery revealed a new shape — “the specter.”

It requires no mirror image, making it an even purer einstein.

‘It can be that easy’  

Craig Kaplan, a computer scientist at Canada’s Waterloo University, told AFP that it was “an amusing and almost ridiculous story — but wonderful.”

He said that Smith, a retired print technician who lives in Yorkshire’s East Riding, emailed him “out of the blue” in November.

Smith had found something “which did not play by his normal expectations for how shapes behave,” Kaplan said.

If you slotted a bunch of these cardboard shapes together on a table, you could keep building outwards without them ever settling into a regular pattern.

Using computer programs, Kaplan and two other mathematicians showed that the shape continued to do this across an infinite plane, making it the first einstein, or “aperiodic monotile.”

When they published their first preprint in March, among those inspired was Yoshiaki Araki. The Japanese tiling enthusiast made art using the hat and another aperiodic shape created by the team called “the turtle,” sometimes using flipped versions.

Smith was inspired back and started playing around with ways to avoid needing to flip his hat.  

Less than a week after their first paper came out, Smith emailed Kaplan a new shape.

Kaplan refused to believe it at first. “There’s no way it can be that easy,” he said.

But analysis confirmed that Tile (1,1) was a “non-reflective einstein,” Kaplan said.

Something still bugged them — while this tile could go on forever without repeating a pattern, this required an “artificial prohibition” against using a flipped shape, he said.

So, they added little notches or curves to the edges, ensuring that only the non-flipped version could be used, creating “the spectre.”

‘Hatfest’

Kaplan said both their papers had been submitted to peer-reviewed journals. But the world of mathematics did not wait to express its astonishment.

Marjorie Senechal, a mathematician at Smith College in the United States, told AFP the discoveries were “exciting, surprising and amazing.”

She said she expects the spectre and its relatives “will lead to a deeper understanding of order in nature and the nature of order.”

Doris Schattschneider, a mathematician at Moravian College in the U.S., said both shapes were “stunning.”

Even Nobel-winning mathematician Roger Penrose, whose previous best effort had narrowed the number of aperiodic tiles down to two in the 1970s, had not been sure such a thing was possible, Schattschneider said.

Penrose, 91, will be among those celebrating the new shapes during the two-day “Hatfest” event at Oxford University next month.  

All involved expressed amazement that the breakthrough was achieved by someone without training in math.

“The answer fell out of the sky and into the hands of an amateur — and I mean that in the best possible way, a lover of the subject who explores it outside of professional practice,” Kaplan said.

“This is the kind of thing that ought not to happen, but very happily for the history of science does happen occasionally, where a flash brings us the answer all at once.”
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Huge strides in life expectancy worldwide are bringing new challenges that come with increased longevity, the Dutch health minister told VOA this week.

“If you look at it from a global perspective, we’ve seen that over the past 25 years, on average we added more than five years of global life expectancy,” Ernst Kuipers, Dutch minister of health, welfare and sport, noted during a stop in Washington.

Looking at it another way, the former internist continued, “It actually means that for more than 20 years in a row, every week we added more than a day to the life expectancy of our world population. That is huge!”

Kuipers and a Dutch delegation co-led by the country’s minister of economy are in the U.S. to take part in a trade fair focused on international health and life sciences in Boston.

The Dutch are known to be the tallest people in the world and rank high in the world longevity list. Kuipers looked at the global picture when discussing the worldwide jump in life expectancy in the past quarter century.

While clean water supply, improved hygiene, sanitation conditions, access to vaccines, medicines and medical treatments have contributed to rising life expectancy in low-income countries, breakthroughs in many areas of life sciences have helped prolong life in higher-income countries, he pointed out.

“For example, new drugs in cancer treatment, newly developed interventions to treat cardiovascular diseases, and also improvement in public health.”

The good news about longevity aside, the former doctor pointed out some of the challenges that come with longer lifespans.

“We have an aging population [in the Netherlands], like in most places. People tend to get older, but they live longer usually with certain [health] conditions, with reduced mobility, etc., very similar to here,” Kuipers said.

Kuipers said his country is also experiencing a shortage in health care personnel, even as the number of working men and women affiliated with the health care industry takes up an increasing percentage of the workforce.

“If you look at the Netherlands, at the moment, one out of every six people with a job works in health care,” he said. That figure includes not just nurses or physicians, but also those serving the health care industry in human resources, finance and legal matters.

If the current pattern continues, one in five Dutch jobs will be related to health care by the year 2030, and that number will increase to one in four by the year 2040. Kuipers said this pattern will be very, very difficult, if not impossible, to sustain, “simply because we’re also going to need people in other areas of society.”

Given that health care is very labor intensive, Kuipers said governments and societies have no choice but to think of ways to meet the demands in a different, yet still effective way, to successfully cope with changing demographics.

In addition to the shortage of manpower, increased life expectancy also requires more money to care for the elderly, causing each country and government to think harder about budget priorities.

“Like the U.S., we have many burning issues, whether it’s energy transmission, preparation for climate change, infrastructure, you name it – the question of how to deliver and provide high-quality, good-access care to everyone while also limiting the increase in budget, that is very, very relevant, like it is here,” the Dutch minister said.

The Netherlands has universal health insurance and caps most people’s out of pocket expenses at 385 euros a year, a little more than 400 U.S. dollars a year.

“So far we [the country as a whole] can still afford this,” he said, “but it’s a continuous debate.”

The problem is especially acute in the case of certain very expensive drugs, the cost of which is increasing “very, very rapidly” and putting the “solidarity underlying our system” under pressure, the minister said.

He cited “orphan drugs,” which are needed by only a small number of people but are often a matter of life and death for those patients.

Kuipers and the Dutch delegation are among over 10,000 health science professionals and government officials from around the world who gathered in Boston this week to exchange ideas and find out the latest in health science at a biotech trade fair put together by the Biotechnology Innovation Organization.
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Staying in touch with a loved one after their death is the promise of several start-ups using the powers of artificial intelligence, though not without raising ethical questions.

Ryu Sun-yun sits in front of a microphone and a giant screen, where her husband, who died a few months earlier, appears.

“Sweetheart, it’s me,” the man on the screen tells her in a video demo. In tears, she answers him, and a semblance of conversation begins.

When Lee Byeong-hwal learned he had terminal cancer, the 76-year-old South Korean asked startup DeepBrain AI to create a digital replica using several hours of video.

“We don’t create new content” such as sentences that the deceased would have never uttered or at least written and validated during their lifetime, said Joseph Murphy, head of development at DeepBrain AI, about the “Rememory” program.

“I’ll call it a niche part of our business. It’s not a growth area for us,” he cautioned.

The idea is the same for StoryFile, a company that uses 92-year-old “Star Trek” actor William Shatner to market its site.

“Our approach is to capture the wonder of an individual, then use the AI tools,” said Stephen Smith, boss of StoryFile, which claims several thousand users of its Life service.

Entrepreneur Pratik Desai caused a stir a few months ago when he suggested people save audio or video of “your parents, elders and loved ones,” estimating that by “the end of this year” it would be possible to create an autonomous avatar of a deceased person, and that he was working on a project to this end.

The message posted on Twitter set off a storm, to the point that, a few days later, he denied being “a ghoul.”

“This is a very personal topic and I sincerely apologize for hurting people,” he said.

“It’s a very fine ethical area that we’re taking with great care,” Smith said.

After the death of her best friend in a car accident in 2015, Russian engineer Eugenia Kyuda, who emigrated to California, created a “chatbot” named Roman like her dead friend, which was fed with thousands of text messages he had sent to loved ones.

Two years later Kyuda launched Replika, which offers personalized conversational robots, among the most sophisticated on the market.

But despite the Roman precedent, Replika “is not a platform made to recreate a lost loved one,” a spokesperson, said.

Somnium Space, based in London, wants to create virtual clones while users are still alive so that they then can exist in a parallel universe after their death.

“It’s not for everyone,” CEO Artur Sychov conceded in a video posted on YouTube about his product, Live Forever, which he is announcing for the end of the year.

“Do I want to meet my grandfather who’s in AI? I don’t know. But those who want that will be able to,” he added.

Thanks to generative AI, the technology is there to allow avatars of departed loved ones to say things they never said when they were alive.

“I think these are philosophical challenges, not technical challenges,” said Murphy of DeepBrainAI.

“I would say that is a line right now that we do not plan on crossing, but who knows what the future holds?” he added.

“I think it can be helpful to interact with an AI version of a person in order to get closure — particularly in situations where grief was complicated by abuse or trauma,” Candi Cann, a professor at Baylor University who is currently researching this topic in South Korea.

Mari Dias, a professor of medical psychology at Johnson & Wales University, has asked many of her bereaved patients about virtual contact with their loved ones.

“The most common answer is ‘I don’t trust AI. I’m afraid it’s going to say something I’m not going to accept.’ … I get the impression that they think they don’t have control” over what the avatar does.
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