A Black Hawk military helicopter. guvendemir/Getty Images
Two military helicopters have collided during a training mission over the US state of Kentucky, media reported on Thursday, citing an army spokeswoman.
The incident took place on Wednesday evening, American news otlet said.
Reportedly, the aircraft in question were Black Hawk helicopters and the accident resulted in casualties.
Multiple people are feared dead after two army helicopters collided in the air above Kentucky Wednesday night, officials said.
The two 101st Airborne Division helicopters crashed during a routine training mission over Trigg County at around 10 p.m., Fort Campbell officials said.
Kentucky Gov. Andy Beshear wrote in a tweet early Thursday that he had received "early reports of a helicopter crash and fatalities are expected."
We’ve got some tough news out of Fort Campbell, with early reports of a helicopter crash and fatalities are expected. @kystatepolice, @KentuckyEM and local officials are responding. We will share more information as available. Please pray for all those affected.
— Governor Andy Beshear (@GovAndyBeshear) March 30, 2023
Early Thursday, Army officials at the fort said the status of the crewmembers who were aboard each HH60 Blackhawk copter was unknown.
However an Army soldier at the scene of the wreck told local radio station WKDZ that multiple people had died and the county coroner had been called.
Kentucky Gov. Andy Beshear also said he suspects there will be multiple fatalities.
“We’ve got some tough news out of Fort Campbell, with early reports of a helicopter crash and fatalities are expected,” Beshear tweeted. “[Kentucky State Police, Kentucky Emergency Management,] and local officials are responding.”
Firefighters responded to extinguish flames shooting out from the mangled aircrafts, photos obtained by the radio station show.
Firefighters responded to extinguish flames shooting out from the mangled aircrafts, photos obtained by the radio station show.
A resident who lives about a half-mile away from the collision site told the station they heard “a pop and two booms” at the time of the mid-air crash.
Army officials said the collision is under investigation.
“The command is currently focused on caring for the servicemembers and their families,” Fort Campbell officials said
The HH-60, a modified version of the Black Hawk helicopter, can be used for air assaults, medical evacuations and other purposes, according to the Army.
In 2018, seven servicemembers died when an HH-60 crashed in Iraq. A military investigation later found that, as a result of a pilot error, the helicopter had struck a steel cable strung horizontally between two buildings.
STORY : Former Starbucks CEO Howard Schultz appeared on Capitol Hill Wednesday to defend himself and the coffee chain against allegations of "union busting" during a U.S. Senate committee hearing.
SANDERS: “Over the past 18 months, Starbucks has waged the most aggressive and illegal union busting campaign in the modern history of our country.”
In a heated exchange, Sen. Bernie Sanders, chair of the chamber’s Health, Education, Labor, and Pensions Committee, grilled the Starbucks billionaire founder on claims made by the National Labor Relations Board… which alleged that Starbucks violated federal labor law by offering new benefits - like higher wages and student loan repayment tools - only to non-unionized stores.
SANDERS: “NLRB (National Labor Relations Board) judges have ruled that Starbucks violated federal labor law over 100 times during the past 18 months, far more than any other corporation in America.”
SCHULTZ: “Sir, Starbucks coffee company unequivocally, and let me set the tone for this very early on, has not broken the law.”
The Seattle-based company has previously denied allegations that it illegally fired pro-union baristas or spied on workers as hundreds of U.S. stores organized unions starting in late 2021.
SAXTON: “In April, our store won our election by a landslide, 26 to 5. Despite all of the threats and intimidation.”
Among other who testified were Jaysin Saxton, a former Starbucks employee from Georgia, who alleged that managers watched and listened to conversations from workers who wanted to form a union.
SAXTON: “…We were constantly being watched and managers listened in on our conversations through our headsets.”
Schultz, who left his third stint as CEO on March 20, said he did not have any direct role in firing workers who supported the union or closing unionized stores.
He remains on the company's board.
Republicans at the hearing defended Schultz, praising the company's competitive wages, health benefits, employee stock purchase program and other perks.
Starbucks' shares closed up nearly 2% on Wednesday.
An “aperiodic monotile,” or einstein, is a shape that tiles an infinite flat surface in a nonrepeating pattern. The authors of a new paper called their einstein “the hat,” as it resembles a fedora. Credit... Craig Kaplan
Last November, after a decade of failed attempts, David Smith, a self-described shape hobbyist of Bridlington in East Yorkshire, England, suspected that he might have finally solved an open problem in the mathematics of tiling: That is, he thought he might have discovered an “einstein.”
In less poetic terms, an einstein is an “aperiodic monotile,” a shape that tiles a plane, or an infinite two-dimensional flat surface, but only in a nonrepeating pattern. (The term “einstein” comes from the German “ein stein,” or “one stone” — more loosely, “one tile” or “one shape.”) Your typical wallpaper or tiled floor is part of an infinite pattern that repeats periodically; when shifted, or “translated,” the pattern can be exactly superimposed on itself. 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.
“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.
And 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,” as it resembles a fedora. (Mr. Smith often sports a bandanna tied around his head.) The paper has not yet been peer reviewed.
“This appears to be a remarkable discovery!” Joshua Socolar, a physicist at Duke University who read an early copy of the paper provided by The New York Times, said in an email. “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.”
“The mathematical result begs some interesting physics questions,” he added. “One could imagine encountering or fabricating a material with this type of internal structure.” Dr. Socolar and Joan Taylor, an independent researcher in Burnie, Tasmania, previously found a hexagonal monotile made of disconnected pieces, which according to some, stretched the rules. (They also found a connected 3-D version of the Socolar-Taylor tile.)
David Smith’s explorations using cut-out paper. Credit... David Smith
From 20,426 to one
Initially, mathematical tiling pursuits were motivated by a broad question: Was there a set of shapes that could tile the plane only nonperiodically? In 1961, the mathematician Hao Wang conjectured that such sets were impossible, but his student Robert Berger soon proved the conjecture wrong. Dr. Berger discovered an aperiodic set of 20,426 tiles, and thereafter a set of 104.
Then the game became: How few tiles would do the trick? In the 1970s, Sir Roger Penrose, a mathematical physicist at University of Oxford who won the 2020 Nobel Prize in Physics for his research on black holes, got the number down to two.
Others have since hit upon shapes for two tiles. “I have a pair or two of my own,” said Chaim Goodman-Strauss, another of the paper’s authors, a professor at the University of Arkansas, who also holds the title of outreach mathematician at the National Museum of Mathematics in New York.
He noted that 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.
An example of a Penrose tiling with kites and darts. Credit... Craig Kaplan
As recently as a few years ago, Sir Roger was in pursuit of an einstein, but he set that exploration aside. “I got the number down to two, and now we have it down to one!” he said of the hat. “It’s a tour de force. I see no reason to disbelieve it.”
The paper provided two proofs, both executed by Joseph Myers, a co-author and a software developer in Cambridge, England. One was a traditional proof, based on a previous method, plus custom code; another deployed a new technique, not computer assisted, devised by Dr. Myers.
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.”
Imaginative tinkering
The simplicity came honestly. Mr. Smith’s investigations were mostly by hand; one of his co-authors described him as an “imaginative tinkerer.”
To begin, he would “fiddle about” on the computer screen with PolyForm Puzzle Solver, software developed by Jaap Scherphuis, a tiling enthusiast and puzzle theorist in Delft, the Netherlands. But if a shape had potential, Mr. Smith used a Silhouette cutting machine to produce a first batch of 32 copies from card stock. Then he would fit the tiles together, with no gaps or overlaps, like a jigsaw puzzle, reflecting and rotating tiles as necessary.
“It’s always nice to get hands-on,” Mr. Smith said. “It can be quite meditative. And it provides a better understanding of how a shape does or does not tessellate.”
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.
“Could this shape be an answer to the so-called ‘einstein problem’ — now wouldn’t that be a thing?” Mr. Smith wrote.
“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,” he said.
With this raw data, Mr. Smith and Dr. Kaplan studied the tiling’s hierarchical structure by eye. Dr. Kaplan detected and unlocked telltale behavior that opened up a traditional aperiodicity proof — the method mathematicians “pull out of the drawer anytime you have a candidate set of aperiodic tiles,” he said.
Mr. Smith’s hat tiling made with the Polyform Puzzle Solver by Jaap Scherphuis. Credit... David Smith
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.”
“It’s very clever,” Dr. Berger, a retired electrical engineer in Lexington, Mass., said in an interview. At the risk of seeming picky, he pointed out that because the hat tiling uses reflections — the hat-shaped tile and its mirror image — 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?
Hiding in the hexagons
Dr. Kaplan clarified that “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.”
Marjorie Senechal, a mathematician at Smith College, said, “In a certain sense, it has been sitting there all this time, waiting for somebody to find it.” Dr. Senechal’s research explores the neighboring realm of mathematical crystallography, and connections with quasicrystals.
“What blows my mind the most is that this aperiodic tiling is laid down on a hexagonal grid, which is about as periodic as you can possibly get,” said Doris Schattschneider, a mathematician at Moravian University, whose research focuses on the mathematical analysis of periodic tilings, especially those by the Dutch artist M.C. Escher.
Dr. Senechal agreed. “It’s sitting right in the hexagons,” she said. “How many people are going to be kicking themselves around the world wondering, why didn’t I see that?”
The einstein family
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.”
The hat, left, and the turtle. Credit... David Smith
But 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.
Mr. Smith wasn’t so impressed by some of the other family members. “They looked a bit like impostors, or mutants,” he said.
But 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.”
Dr. Goodman-Strauss views the new technique as a crucial aspect of the discovery; to date, there were only a handful of aperiodicity proofs. He conceded it was “strong cheese,” perhaps only for hard-core connoisseurs. It took him a couple of days to process. “Then I was thunderstruck,” he said.
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.”
Chairman of the Joint Chiefs of Staff General Mark Milley warned on Wednesday that it would be “very difficult” for the US to fight a great power war with Russia and China combined.
“Our military, capability-wise, can fight in a lot of places with different types of contingencies, but if you're talking about a serious conflict with a major great power war, realistically, putting both China and Russia together is a very, very difficult thing,” Milley told a House Committee on Armed Services hearing.
Milley explained that under former Secretary of Defense Jim Mattis, the National Defense Strategy changed from a two-war strategy that was in place since the end of WWII to a one-war strategy. This meant the military planned to resource, train, equip, and structure its force to be able to fight one major war against one great power and to hold in other theatres.
Milley added that the military could surge if needed.
He also added that he expected Russia, China, and Iran to be “problematic for many years to come.”
“I’m concerned…about… any coherence and cohesion between Russia and China… I wouldn't call it a true full alliance in the real meaning of that word, but we are seeing them moving closer together and that's troublesome," Milley said. “And then if you add in Iran as the third. So those three countries together are going to be problematic for many years to come, I think, especially Russia and China because of their capability.”
Milley said he would discuss the question of Russia’s role in assisting China’s nuclear development program during the closed session, only saying that it was “concerning.”
While he said China’s nuclear capabilities did not match America’s, he noted that China still had “significant” capabilities, including intercontinental ballistic missiles that could reach US territory.
“We are probably not going to be able to do anything to stop, slow down, disrupt, interdict or destroy the Chinese nuclear development program that they have projected out over the next 10 to 20 years,” Milley told a House Committee on Armed Services hearing.
He added that “there's very little leverage, I think, that we could do externally to prevent that from happening. There might be some economic levers of power, there might be other things in the intelligence world, but for the most part, they're probably going to step out.”
Milley admitted that China was on the path to reach its goal of being the “global co-equal” and military superior of the US by mid-century. Currently, an assured second strike was the “best way” that existed with current technologies for the US to confront China’s nuclear ambitions.
At the same time he noted, that the US is “very secure” in terms of its nuclear deterrent posture.
“From a nuclear deterrent posture – we are very secure because we have an exceptional nuclear system,” Milley said during a congressional hearing when asked about Russia’s and China’s plans to increase their nuclear arsenals.
He also said that Washington has capabilities to maintain its strategic stability. “We can guarantee it without question,” he said.
However, Milley noted that other countries may also pose threat to the US. An integrated missile defense system is therefore critical in order to deter these threats, he added.
Kerajaan mengutuk penyerbuan Masjid Al-Aqsa oleh pemukim Israel, di bawah perlindungan pasukan pendudukan, kata sumber kementerian luar negeri Saudi.
Kementerian menekankan bahwa tindakan tersebut merusak upaya perdamaian dan melanggar prinsip dan norma internasional mengenai penghormatan terhadap tempat suci agama. Kementerian juga menegaskan kembali komitmen Kerajaan untuk mendukung semua upaya mengakhiri pendudukan dan mencapai solusi yang adil dan komprehensif yang memungkinkan Palestina mendirikan negara merdeka di perbatasan 1967, dengan Yerusalem Timur sebagai ibu kotanya..
Sekjen GCC mengecam penyerbuan Masjid Al-Aqsa oleh pemukim Israel
Sekretaris Jenderal GCC (the Gulf Cooperation Council / Dewan Kerjasama Teluk) Jassem Mohamed Albudaiwi mengutuk dengan keras penyerbuan pemukim Israel terhadap Masjid Al-Aqsa, di bawah perlindungan Pasukan Pertahanan Israel.
Albudaiwi menggarisbawahi bahwa agresi Israel selama Ramadhan merupakan eskalasi yang berbahaya, pelanggaran mencolok terhadap hukum internasional dan resolusi yang relevan, dan status quo sejarah dan hukum di Yerusalem dan tempat-tempat sucinya, serta provokasi terhadap umat Islam di seluruh dunia.
Sekretaris Jenderal GCC meminta masyarakat internasional untuk segera campur tangan guna menghentikan pelanggaran dan mengintensifkan upaya untuk mendorong proses perdamaian ke depan, menekankan posisi GCC yang tidak berubah, yang menempatkan perjuangan Palestina di atas prioritasnya dan menyerukan pembentukan sebuah negara Palestina merdeka di sepanjang garis perbatasan 4 Juni 1967, dengan Yerusalem Timur sebagai ibu kotanya.
Penggerebekan terjadi selama Ramadhan, periode sebulan penuh yang dianggap suci dan waktu spiritualitas dan doa dalam Islam.
“Tindakan seperti itu merusak upaya perdamaian dan melanggar prinsip dan norma internasional mengenai penghormatan terhadap tempat suci agama,” SPA mengutip pernyataan kementerian tersebut.
Lusinan pemukim ekstrimis Israel menyerbu kompleks Masjid Al-Aqsa, menurut kantor berita Palestina WAFA.
Departemen Wakaf Umum Islam di Yerusalem mengatakan dalam sebuah pernyataan bahwa beberapa pemukim melakukan penggerebekan di bawah perlindungan ketat dari pasukan pendudukan Israel, WAFA melaporkan.
Para pemukim dilindungi polisi Israel saat mereka masuk ke situs tersuci ketiga dalam Islam, sumber-sumber lokal mengatakan kepada kantor berita Wafa Palestina.
Provokasi Israel di Masjid Al-Aqsa tidak jarang terjadi. Pada awal Januari, Menteri Keamanan Nasional Israel yang baru, Itamar Ben-Gvir, membentuk situs suci tersebut, menuai kecaman internasional yang meluas.
Para pemukim menyerbu situs tersebut dari gerbang Al-Maghariba dan melakukan tur provokatif dan ritual Talmud di kompleksnya, kata sumber tersebut.
Laporan itu muncul di tengah meningkatnya kekerasan di Yerusalem dan Tepi Barat menyusul masuknya pemerintah Israel ke tampuk kekuasaan, yang telah membuat pasukan Israel membunuh setidaknya 32 warga Palestina pada tahun 2023 saja.
Laporan itu muncul di tengah meningkatnya kekerasan di Yerusalem dan Tepi Barat menyusul masuknya pemerintah Israel ke tampuk kekuasaan, yang telah membuat pasukan Israel membunuh setidaknya 32 warga Palestina pada tahun 2023 saja.
Pasukan Israel membunuh sembilan warga Palestina selama pembantaian mematikan di Jenin Tepi Barat pada hari Kamis dan melanjutkan untuk membom Jalur Gaza yang terkepung pada Jumat pagi, menyebabkan kehancuran beberapa properti. Tidak ada cedera yang dilaporkan.
Menanggapi serangan Jenin, seorang pria bersenjata Palestina pada hari Jumat menewaskan tujuh orang di luar sinagog di lingkungan pemukim Yerusalem timur yang diduduki, dan serangan lain menyusul pada hari Sabtu.
Pasukan Israel juga membunuh seorang pengemudi Palestina di Tepi Barat yang diduduki pada hari Senin, kata para pejabat di kedua sisi, dengan tentara mengatakan mobil itu menabrak kaki seorang tentara sebelum melaju kencang.
Menteri Luar Negeri AS Antony Blinken mendarat di Tel Aviv pada hari Senin pada putaran kedua tur Timur Tengahnya, menjelang pembicaraan yang mendesak pengurangan kekerasan, dan akan melakukan perjalanan ke Yerusalem.
Sentra Takjil kota Bogor sejak lawas sudah ada sebelum kemerdekaan Indonesia hingga kini hanya ada dua tempat, yaitu Pulo Empang dan Sukasari, sepanjang Surya Kencana. Tempat lain - lain ada itu mulai tahun 2000an. Seperti yang disampaikan oleh Suwardi One Pride itu sangat tepat untuk dijadikan rekomendasi berbutu takjil.
1. Pulo Empang
Tepat sekali apa yang dikatakan Suwardi, salah satu tempat rekomendasi beli takjil di Kota Bogor yakni beradai di wilayah Pulo Empang.
Sepanjang jalan Pulo Empang Anda akan banyak menemukan jajanan takjil di sana, salah satunya mie glosor.
"Untuk jajanan takjil di pulo empang sepanjang jalan banyak benar kalau lagi puasa gini," ujar Suwardi.
"Karena bnyak pilihan takjil disana mulai dari jajanan pasar, kolak ,mie glosor, sate satean, jadi recomended banget ,satu lokasi banyak pilihan," ungkapnya.
Mie glosor adalah mi yang terbuat dari tepung sagu (aci) dicampur kunyit.
Mie tersebut berasal dari Sukabumi yang kemudian menjadi terkenal dan digemari oleh masyarakat Kota Bogor.
Istilah Glosor atau gelosor (mengalir) dipakai untuk menggambarkan betapa mudahnya mie tersebut ketika dimakan, mudah dikunyah, mengalir lancar dari mulut menuju tenggorokan dan menggelosor menuju lambung.
2. Sukasari
Selain Pulo Empang, Suwardi menyebutkan, kawasan lain yang bisa jadi rekomendasi untuk berburu takjil di Kota Bogor, yakni Sukasari.
Kawasan Sukasari yang terletak di kecamatan Bogor Timur ini juga banyak menawarkan jajanan takjil, terutama es buah.
"Kalau es buah recommended-nya di Sukasari. Saya dan keluarga selalu beli di sana. Tapi ada juga jajanan lainnya," tuturnya.
Suwardi menambahkan, selama bulan Ramadhan, ia kerap menemani sang istri membeli takjil untuk disantap saat berbuka.
"Biasanya berdua. Soalnya kalau sendiri takut salah beli yang dibeli kesukaan sendiri aja," imbuhnya.
