How to Build Beautiful 3-D Fractals Out of the Simplest Equations

If you came across an animal in the wild and wanted to learn more about it, there are a few things you might do: You might watch what it eats, poke it to see how it reacts, and even dissect it if you got the chance.

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Original story reprinted with permission from Quanta Magazine, an editorially independent division of the Simons Foundation whose mission is to enhance public understanding of science by covering research developments and trends in mathematics and the physical and life sciences


Mathematicians are not so different from naturalists. Rather than studying organisms, they study equations and shapes using their own techniques. They twist and stretch mathematical objects, translate them into new mathematical languages, and apply them to new problems. As they find new ways to look at familiar things, the possibilities for insight multiply.

That’s the promise of a new idea from two mathematicians: Laura DeMarco, a professor at Northwestern University, and Kathryn Lindsey, a postdoctoral fellow at the University of Chicago. They begin with a plain old polynomial equation, the kind grudgingly familiar to any high school math student: f(x) = x2 – 1. Instead of graphing it or finding its roots, they take the unprecedented step of transforming it into a 3-D object.

With polynomials, “everything is defined in the two-dimensional plane,” Lindsey said. “There isn’t a natural place a third dimension would come into it until you start thinking about these shapes Laura and I are building.”

The 3-D shapes that they build look strange, with broad plains, subtle bends and a zigzag seam that hints at how the objects were formed. DeMarco and Lindsey introduce the shapes in a forthcoming paper in the Arnold Mathematical Journal, a new publication from the Institute for Mathematical Sciences at Stony Brook University. The paper presents what little is known about the objects, such as how they’re constructed and the measurements of their curvature. DeMarco and Lindsey also explain what they believe is a promising new method of inquiry: Using the shapes built from polynomial equations, they hope to come to understand more about the underlying equations—which is what mathematicians really care about.

Breaking Out of Two Dimensions

In mathematics, several motivating factors can spur new research. One is the quest to solve an open problem, such as the Riemann hypothesis. Another is the desire to build mathematical tools that can be used to do something else. A third—the one behind DeMarco and Lindsey’s work—is the equivalent of finding an unidentified species in the wild: One just wants to understand what it is. “These are fascinating and beautiful things that arise very naturally in our subject and should be understood!” DeMarco said by email, referring to the shapes.

Laura DeMarco, a professor at Northwestern University.Laura DeMarco, a professor at Northwestern University.Courtesy of Laura DeMarco

“It’s sort of been in the air for a couple of decades, but they’re the first people to try to do something with it,” said Curtis McMullen, a mathematician at Harvard University who won the Fields Medal, math’s highest honor, in 1988. McMullen and DeMarco started talking about these shapes in the early 2000s, while she was doing graduate work with him at Harvard. DeMarco then went off to do pioneering work applying techniques from dynamical systems to questions in number theory, for which she will receive the Satter Prize—awarded to a leading female researcher—from the American Mathematical Society on January 5.

Meanwhile, in 2010 William Thurston, the late Cornell University mathematician and Fields Medal winner, heard about the shapes from McMullen. Thurston suspected that it might be possible to take flat shapes computed from polynomials and bend them to create 3-D objects. To explore this idea, he and Lindsey, who was then a graduate student at Cornell, constructed the 3-D objects from construction paper, tape and a precision cutting device that Thurston had on hand from an earlier project. The result wouldn’t have been out of place at an elementary school arts and crafts fair, and Lindsey admits she was kind of mystified by the whole thing.

“I never understood why we were doing this, what the point was and what was going on in his mind that made him think this was really important,” said Lindsey. “Then unfortunately when he died, I couldn’t ask him anymore. There was this brilliant guy who suggested something and said he thought it was an important, neat thing, so it’s natural to wonder ‘What is it? What’s going on here?’”

In 2014 DeMarco and Lindsey decided to see if they could unwind the mathematical significance of the shapes.

A Fractal Link to Entropy

To get a 3-D shape from an ordinary polynomial takes a little doing. The first step is to run the polynomial dynamically—that is, to iterate it by feeding each output back into the polynomial as the next input. One of two things will happen: either the values will grow infinitely in size, or they’ll settle into a stable, bounded pattern. To keep track of which starting values lead to which of those two outcomes, mathematicians construct the Julia set of a polynomial. The Julia set is the boundary between starting values that go off to infinity and values that remain bounded below a given value. This boundary line—which differs for every polynomial—can be plotted on the complex plane, where it assumes all manner of highly intricate, swirling, symmetric fractal designs.

JuliaSet_450_double.pngLucy Reading-Ikkanda/Quanta Magazine

If you shade the region bounded by the Julia set, you get the filled Julia set. If you use scissors and cut out the filled Julia set, you get the first piece of the surface of the eventual 3-D shape. To get the second, DeMarco and Lindsey wrote an algorithm. That algorithm analyzes features of the original polynomial, like its degree (the highest number that appears as an exponent) and its coefficients, and outputs another fractal shape that DeMarco and Lindsey call the “planar cap.”

“The Julia set is the base, like the southern hemisphere, and the cap is like the top half,” DeMarco said. “If you glue them together you get a shape that’s polyhedral.”

The algorithm was Thurston’s idea. When he suggested it to Lindsey in 2010, she wrote a rough version of the program. She and DeMarco improved on the algorithm in their work together and “proved it does what we think it does,” Lindsey said. That is, for every filled Julia set, the algorithm generates the correct complementary piece.

The filled Julia set and the planar cap are the raw material for constructing a 3-D shape, but by themselves they don’t give a sense of what the completed shape will look like. This creates a challenge. When presented with the six faces of a cube laid flat, one could intuitively know how to fold them to make the correct 3-D shape. But, with a less familiar two-dimensional surface, you’d be hard-pressed to anticipate the shape of the resulting 3-D object.

“There’s no general mathematical theory that tells you what the shape will be if you start with different types of polygons,” Lindsey said.

Mathematicians have precise ways of defining what makes a shape a shape. One is to know its curvature. Any 3-D object without holes has a total curvature of exactly 4π; it’s a fixed value in the same way any circular object has exactly 360 degrees of angle. The shape—or geometry—of a 3-D object is completely determined by the way that fixed amount of curvature is distributed, combined with information about distances between points. In a sphere, the curvature is distributed evenly over the entire surface; in a cube, it’s concentrated in equal amounts at the eight evenly spaced vertices.

A unique attribute of Julia sets allows DeMarco and Lindsey to know the curvature of the shapes they’re building. All Julia sets have what’s known as a “measure of maximal entropy,” or MME. The MME is a complicated concept, but there is an intuitive (if slightly incomplete) way to think about it. First, picture a two-dimensional filled Julia set on the plane. Then picture a point on the same plane but very far outside the Julia set’s boundary (infinitely far, in fact). From that distant location the point is going to take a random walk across two-dimensional space, meandering until it strikes the Julia set. Wherever it first strikes the Julia set is where it comes to rest.

The MME is a way of quantifying the fact that the meandering point is more likely to strike certain parts of the Julia set than others. For example, the meandering point is more likely to strike a spike in the Julia set that juts out into the plane than it is to intersect with a crevice tucked into a region of the set. The more likely the meandering point is to hit a point on the Julia set, the higher the MME is at that point.

In their paper, DeMarco and Lindsey demonstrated that the 3-D objects they build from Julia sets have a curvature distribution that’s exactly proportional to the MME. That is, if there’s a 25 percent chance the meandering point will hit a particular place on the Julia set first, then 25 percent of the curvature should also be concentrated at that point when the Julia set is joined with the planar cap and folded into a 3-D shape.

“If it was really easy for the meandering point to hit some area on our Julia set we’d want to have a lot of curvature at the corresponding point on the 3-D object,” Lindsey said. “And if it was harder to hit some area on our Julia set, we’d want the corresponding area in the 3-D object to be kind of flat.”

This is useful information, but it doesn’t get you as far as you’d think. If given a two-dimensional polygon, and told exactly how its curvature should be distributed, there’s still no mathematical way to identify exactly where you need to fold the polygon to end up with the right 3-D shape. Because of this, there’s no way to completely anticipate what that 3-D shape will look like.

“We know how sharp and pointy the shape has to be, in an abstract, theoretical sense, and we know how far apart the crinkly regions are, again in an abstract, theoretical sense, but we have no idea how to visualize it in three dimensions,” DeMarco explained in an email.

She and Lindsey have evidence of the existence of a 3-D shape, and evidence of some of that shape’s properties, but no ability yet to see the shape. They are in a position similar to that of astronomers who detect an unexplained stellar wobble that hints at the existence of an exoplanet: The astronomers know there has to be something else out there and they can estimate its mass. Yet the object itself remains just out of view.

A Folding Strategy

Thus far, DeMarco and Lindsey have established basic details of the 3-D shape: They know that one 3-D object exists for every polynomial (by way of its Julia set), and they know the object has a curvature exactly given by the measure of maximal entropy. Everything else has yet to be figured out.

In particular, they’d like to develop a mathematical understanding of the “bending laminations,” or lines along which a flat surface can be folded to create a 3-D object. The question occurred early on to Thurston, too, who wrote to McMullen in 2010, “I wonder how hard it is to compute or characterize the pair of bending laminations, for the inside and the outside, and what they might tell us about the geometry of the Julia set.”

Kathryn Lindsey, a mathematician at the University of Chicago.Kathryn Lindsey, a mathematician at the University of Chicago.Courtesy of Kathryn Lindsey

In this, DeMarco and Lindsey’s work is heavily influenced by the mid 20th-century mathematician Aleksandr Aleksandrov. Aleksandrov established that there is only one unique way of folding a given polygon to get a 3-D object. He lamented that it seemed impossible to mathematically calculate the correct folding lines. Today, the best strategy is often to make a best guess about where to fold the polygon—and then to get out scissors and tape to see if the estimate is right.

“Kathryn and I spent hours cutting out examples and gluing them ourselves,” DeMarco said.

DeMarco and Lindsey are currently trying to describe the folding lines on their particular class of 3-D objects, and they think they have a promising strategy. “Our working conjecture is that the folding lines, the bending laminations, can be completely described in terms of certain dynamical properties,” DeMarco said. Put another way, they hope that by iterating the underlying polynomial in the right way, they’ll be able to identify the set of points along which the folding line occurs.

From there, possibilities for exploration are numerous. If you know the folding lines associated to the polynomial f(x) = x2– 1, you might then ask what happens to the folding lines if you change the coefficients and consider f(x) = x2 – 1.1. Do the folding lines of the two polynomials differ a little, a lot or not at all?

“Certain polynomials might have similar bending laminations, and that would tell us all these polynomials have something in common, even if on the surface they don’t look like they have anything in common,” Lindsey said.

It’s a bit early to think about all of this, however. DeMarco and Lindsey have found a systematic way to think about polynomials in 3-D terms, but whether that perspective will answer important questions about those polynomials is unclear.

“I would even characterize it as being sort of playful at this stage,” McMullen said, adding, “In a way that’s how some of the best mathematical research proceeds—you don’t know what something is going to be good for, but it seems to be a feature of the mathematical landscape.”

Original story reprinted with permission from Quanta Magazine, an editorially independent publication of the Simons Foundation whose mission is to enhance public understanding of science by covering research developments and trends in mathematics and the physical and life sciences.

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Month by Month, 2016 Cemented Science’s Sexual Harassment Problem

to know a tale about intimate harassment in sciences, simply ask a person who is a huge girl in sciences. Odds are, if it offersn’t occurred to the girl, it is happened to somebody she knows.

This year yielded many front-page tales about celebrity professors breaking bad, however it is additionally the entire year clinical communities and policy-influencers made a decision to try to do some worthwhile thing about it. And when the momentum holds, 2017 may be the year they are doing over decide to try, as they transform new initiatives, brainstorming sessions, reports, and promises into action and social change.

The revolution began in October 2015, when Azeen Ghorayshi at BuzzFeed published about a Title IX investigation on University of California, Berkeley. The institution had discovered that lauded astronomer Geoff Marcy had violated harassment policies between 2001 and 2010—and then, having that information, applied no substantial consequences. Whenever Marcy’s tale arrived on the scene in article kind, much of the scientific community ended up being outraged this “father of exoplanets” had rooked their status then kept that status.

But others were amazed. That man? actually? Had been their behavior actually that bad? And as scientific companies like the American Astronomical Society pulled together new policies, codes of conduct, and workshops, some also expressed doubt this entire harassment thing was really this kind of big problem. Once the year progressed, that chatter quieted.

“A large amount of people were kind of oblivious to things happening right underneath our noses,” says Eric Davidson, incoming president of the American Geophysical Union. But since his company has begun tackling the matter, it is shown him exactly how real the problem is, although he knows it is not a brand new issue. “I look around and discover my feminine peers exchanging glances and saying it has been happening for some time, also it’s time we start dealing with it,” he states.

The figures agree: A 2014 study discovered that 71 per cent of female boffins was in fact intimately harassed while away in industry, and 26 per cent have been sexually assaulted. In a 2015 study of astronomers, 61 % of respondents reported experience of spoken harassment within their present job, for sex, sex identity, sexual orientation, race, religion or impairment status. Around 11 per cent reported physical harassment.

“There is the feeling that if you want to be a woman in science, that’s the excess price you’re able to spend,” says Janet Stemwedel, the head of San Jose State’s philosophy division, whom writes about ethics in science.

Therefore the scholastic environment does not simply permit such transgressions: It’s their agar dish. “A cynical take is that the forces that permitted Marcy to harass ladies for plenty years—his prestige; his power to generate money; the employment defenses he enjoyed being a tenured teacher; the outdated, onerous, and secretive nature of sexual harassment investigations—are maybe not anomalies of an outlying division, however in many instances determining characteristics of academia,” Ghorayshi published, in another of several relevant articles that arrived following the initial Marcy piece.

Ghorayshi as well as other reporters sent big intimate harassment cases into your newsfeed about monthly. You might make an old-school calendar out of them (although you most likely choose puppies in baskets and Yosemite once the seasons change).

Here’s a schedule regarding the year’s biggest events:

January: California Representative Jackie Speier unveiled Title IX documents detailing just how University of Wyoming astronomer Timothy Slater had provided students a dildo, taken people to strip groups on lunch time break, and provided thoughts on women’s systems. Speier used the way it is, according to occasions on University of Arizona in 2004, to show exactly how offending teachers can move between universities while keeping their records key. Additionally this month, Caltech suspended physicist Christian Ott for firing students because he was sexually drawn to the girl. A Buzzfeed research unveiled that he had confessed those emotions to another student.

February: University of Chicago professor Jason Lieb resigned (following the college suggested he be fired) for coming on to graduate pupils during a retreat and having sex having a student who was “incapacitated because of liquor and so couldn’t consent.” Additionally in February, Science published a write-up about American Museum of Natural History anthropologist Brian Richmond, whose direct report accused him of attack within a systematic conference in Italy, triggering “a cascade of other allegations against Richmond.”

March: Hope Jahren, author of the guide Lab Girl, published a New York instances op-ed discussing the pervasiveness of extensive sexual harassment—especially the sort where a manager just can’t keep his star-crossed emotions for a student from the human body of a e-mail. “Since we began authoring females and science, my female colleagues happen moved to share with you their stories beside me; my inbox is definitely an inadvertent clearinghouse for unsolicited love notes,” she writes.

April: Physicist Sarah Gossan—one of Christian Ott’s victims—tweeted, in some 33 articles, that she ended up being leaving the investigation group she co-chaired for the gravitational-wave observatory LIGO and in the offing to go out of the supernova research industry altogether, as a result of Ott’s alleged retaliation against the girl and fallout from the situation.

Might: Thomas Pogge is not a scientist, but he’s an academic ethicist. And based on a BuzzFeed article, he was accused of sexual harassment inside 1990s at Columbia University; once more this season at Yale University, in which the complainant additionally claimed he retaliated against her; then again-again in 2014 whenever a European pupil stated he introduced job possibilities as benefits for the intimate relationship. A Yale panel voted that there was “insufficient evidence to charge him with sexual harassment.”

June: Ebola and flu researcher Michael Katze, associated with University of Washington, hired an administrator utilizing the “implicit condition,” in accordance with a BuzzFeed research, “that she submit to his intimate demands.” Katze also tasked another worker with cleansing his residence, buying marijuana, and emailing escorts (yes, that kind), together with a background of sex-jokes and -comments and two attempts at real contact. Katze continues to be used during the university.

July: In Slate, astronomer Katherine Alatalo spoke of meeting with her division chair to talk about cutting down the woman working relationship along with her supervisor, who made inappropriate feedback about her look, asked about the woman sex, and “[mixed] personal assaults with expert responses.” The chair’s follow-up letter informed the girl that she was “ceding a remarkable chance to utilize one of the premier specialists [in these industries].”

August: The University of Kentucky’s newspaper stated that entomologist James Harwood, that has resigned without providing reasons, had violated harassment and attack policies (the latter which are in reality called “criminal laws and regulations”) with two pupils. After the article arrived, the college announced intends to sue the book for bringing the truth papers to light.

September: Neil deGrasse Tyson said in a interview with BuzzFeed science editor Virginia Hughes that science, and astrophysics specifically, doesn’t have a special issue with harassment. “The problem isn’t intimate harassment in science,” he said. “The issue is sexual harassment at work, which include medical workplaces. So I don’t observe that there’s some special types of way to that issue must be invoked in a scientific community.”

October: the pinnacle of this University of Bath astrophysics division, Carole Mundell, continued trial for libel and slander. She had stated that the former manager, Mike Bode, composed glowing letters of suggestion for alleged harasser Chris Simpson, ignoring the complaints filed about their behavior.

November: On a radio show and subsequent article, astronomers during the Australian scientific company CSIRO detailed cases of harassment and bullying, including three formal allegations of intimate misconduct, two that were upheld. Chief among them was that from Ilana Feain. The business barred Feain, who’s left the field, from disclosing the findings of this investigation.

December: at American Geophysical Union’s annual conference, which draws tens and thousands of scientists, the business hosted nine sessions regarding harassment, ethics, and workplace weather. Earlier inside 12 months, the society had brought together 60 leaders in academia, federal government, and expert businesses for workshop called “Sexual Harassment within the Sciences: A Call to answer.”

Just what now?

With many documented cases of intimate harassment (and the women nodding their heads and saying “Duh”), this year’s journalistic investigations showed not just that the field features a problem but that habits exist. “Once you’ve look over five or 10 or 20 cases, you’re like, ‘OK, we don’t actually expect the following harasser we learn about is going to be radically not the same as those we’ve found out about up to now,’” says Stemwedel. “‘we understand shape and size of this problem.’”

That that quantification and qualification available, big-S technology can now enumerate and deal with its problems.

First, technology operates under exactly what Stemwedel calls a “medieval apprenticeship” model—in which pupils are immersed within their work and therefore are entirely dependent on advisers for capital, capacity to finish graduate college, and future jobs. 2nd, university investigations usually stay in locked containers, maybe not leaking to the larger globe unless it has an real leak or perhaps a FOIA demand. And third, universities depend on superstar professors for the grant cash they rake in.

Ca congressional agent Jackie Speier has recently introduced legislation to simply take aim at that last issue. Her proposition attempts to bring transparency to Title IX investigations and force schools to report all violations towards the funding agencies—like NASA, the nationwide Science Foundation, as well as the nationwide Institutes of Health—that give money to offending teachers. Due to their part, those three money-senders have actually stated that any institutions and/or individuals they support must conform to civil liberties legislation. “There’s still question about how exactly much those words is likely to be met with action,” claims Stemwedel.

Legislation, of types, in addition has come from medical communities such as the American Geophysical Union, the United states Astronomical community, the Biophysical community, additionally the United states bodily Society. They will have all developed brand new, more explicit codes of conduct for users and meetings, detailing just what harassment is and what happens if you harass. And several culture leaders work together to share with you resources, procedures, policies, and safe ways for people to report infractions. “These teams do carry lots of weight in science,” says Ghorayshi. “And lot of the teams did pretty instantly endure the task of wanting to address this dilemma. That’s also due to the fact that there’s a more youthful crop of experts—largely women and a lot of allies—who want to draw focus on these issues.”

All of that philosophy, documents, and pontification just do this a great deal good. They don’t instantly change behavior. However their aspirational nature has value. “It’s delivering a message to more youthful researchers which can be going into the field that this is the culture to be valued,” states Ghorayshi.

Social modification like this takes sometime. “But just because it takes a whilst to change does not mean you hold out because of it,” says Davidson.

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From Crispr to Zika, listed here are 2016’s Biggest Biology Stories

Amid the crises and chaos of 2016, life, as they say, went on. And so too did the research of life: Biologists had their work cut right out for them handling the Zika virus, a quickly-blossoming science and public wellness concern that ended up being our biggest biology tale of the season.

However the industry forged ahead in the areas. Biologists proceeded to hammer away at old enemies like HIV, cholera, and antibiotic-resistant bacteria. And their tools keep recovering: Neuroscientists used slicker digital cameras and ways to map from mind more properly than ever before, and creative scientists are now actually applying gene editing to tackle everything from HIV to animals in the brink of extinction. Here are a few of 2016’s biggest moments in biology:

Zika Showed the physiology of a Public wellness Crisis

As Zika spread within the US—via tourists and (later on) Florida mosquitoes—scientists raced to review the illness in earnest, fundamentally confirming that Zika causes microcephaly. At the same time, general public wellness officials, ob-gyns, and mosquito control professionals managed herpes on the ground with Zika kits, counseling for women that are pregnant, and pesticide spraying. And experts took to wackier, less-traditional practices too: hacking illness transmission by changing the mosquitoes’ genes, or infecting tens of thousands of men having a sterilizing bacteria called Wolbachia. Even while, Congress tussled over whether or not to place money towards Zika research and prevention, finally approving $1.1 billion towards the fight in September.

Experts Wielded Crispr Against Infection

Given that boffins have actually gotten busy applying the much-fêted gene-editing method Crispr with their work, they’re finally publishing the fruits of their labors. Scientists have modified white blood cells and injected them into patients with lung cancer tumors, edited bone marrow cells to check sickle mobile anemia therapies, and modified peoples embryos (twice!). And forget Jennifer Doudna. Crispr’s real big break arrived this season: It’s the central plot unit for the TV drama, C.R.I.S.P.R, becoming developed by Jennifer Lopez.

Neuroscientists Got a much better View of the mind

As imaging strategies enhance, neuroscientists are collecting terabytes of mind data and sifting through it to draw an ever-clearer picture of exactly how it all hangs together. They’ve cut mouse minds into vanishingly thin pieces to piece together their neural companies and monitored the mind task of mice while they watched Touch of Evil or did absolutely nothing at all—all to know peoples minds better. And also to make certain their imaging data ended up being legit, some researchers took an excellent hard go through the precision of techniques like fMRI, which measures circulation inside mind as proxy for neural task.

An HIV Vaccine Got Nearer To Reality

Boffins are grappling with producing an HIV vaccine for decades. Yes, people who have HIV may use antiretroviral drugs like Truvada to keep herpes away. However the drugs aren’t perfect, particularly if you miss a dose—not to say that numerous people with the illness don’t have access to those medications. However the news is hopeful this present year: scientists around the world have spun up several medical studies to check possible vaccines and antibodies to fight the virus. Plus group reported in Nature that they had successfully created a vaccine to take care of the form of HIV in monkeys.

Old Diseases Are Still Hard to Eradicate

2016 saw outbreaks of diseases that should be over but aren’t. In Angola, a vaccine shortage has permitted brand new situations of yellow fever to produce. After 2 yrs free from polio situations, Nigeria relapsed, perhaps because Boko Haram has managed to make it burdensome for organizations to assemble accurate wellness information. And cholera in Haiti was in fact raging also before Hurricane Matthew exacerbated the united states’s sanitation issues in October. Even as biologists make progress on new remedies and vaccines, these conditions remind us that into the messy real world, cures just work by using them appropriate.

Genetics Assisted Biologists Understand Animals—And Possibly Save Them

As biologists go, taxonomists are the feistiest associated with the bunch, constantly squabbling about giraffe speciation or how to precisely determine taxonomy. Plus in 2016, those battles spilled over to Twitter. (Amazing! Some people on the internet were certainly getting righteously indignant about something that had beenn’t the election!) But biologists are now using brand new research to the genetics of wildlife to greatly help conserve them—like putting gene drives in invasive Galapagos rats so they die down, or selectively breeding Tasmanian devils with genes resistant toward face cancer tumors that almost wiped them down.

Scott Kelly Donated Their (Still Residing) Body to Science

After spending 340 times in area aboard the ISS, astronaut Scott Kelly alighted back on the planet in March. Now, NASA is inspecting his human body and comparing it to their earthbound double sibling Mark’s to observe how the rigors of long-lasting space livin’ affects people. Did having less gravity weaken Space Kelly’s bones? Exactly how did it affect the liquids in their human body? And how about all that radiation? The sooner scientists discover, the closer humanity gets to sweet, habitable Mars condos.

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Vote for the 2016 Pliny for Volcanic Event associated with the Year

2016 is coming to a detailed so understand it’s time for you to look right back in the volcanic action of the year. Take a moment and vote for your top 3 volcanoes that you think deserve the honor of Volcanic Event of the season — the coveted Pliny Award. If you want some refreshers, check associated with the Atlantic’s summary of some cool eruptions, search through the worldwide Volcanism Program’s Weekly Volcanic Activity Reports or flip right back through the articles right here on Eruptions.

The polls is available until January 5 at 11:59 PM Eastern Standard Time, so cast your ballot and I’ll count down the utmost effective volcanoes following 2017 gets started.

Go here to vote within the poll!

(I’ll try to embed the poll when WP decides to try out well with Polldaddy.)

Here You Will Find The previous winners regarding the prestigious Pliny:
2009: Sarychev Peak
2010: Eyjafjallajökull
2011: Puyehue-Cordón Caulle
2012: Tolbachik
2013: Etna
2014: Holuhraun-Barðarbunga
2015: Colima, Mexico

In the event that you notice any volcano that made news in 2016 missing, keep a comment below!

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