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{"id":38598,"date":"2023-12-25T21:58:33","date_gmt":"2023-12-25T21:58:33","guid":{"rendered":"https:\/\/scienceandnerds.com\/2023\/12\/25\/the-year-in-math\/"},"modified":"2023-12-25T21:58:34","modified_gmt":"2023-12-25T21:58:34","slug":"the-year-in-math","status":"publish","type":"post","link":"https:\/\/scienceandnerds.com\/2023\/12\/25\/the-year-in-math\/","title":{"rendered":"The Year in Math"},"content":{"rendered":"

Source:https:\/\/www.quantamagazine.org\/the-biggest-discoveries-in-math-in-2023-20231222\/#comments<\/a><\/br>
\nThe Year in Math<\/br>
\n2023-12-25 21:58:33<\/br><\/p>\n

\n

It was also an exciting year in geometry. The most attention-getting result of the year was the discovery of a new kind of tile<\/a> that covers the plane in a pattern that never repeats. A two-tile combination that does this has been known since the 1970s, but the single tile, discovered by a hobbyist named David Smith and announced in March, was a sensation. Fans used the simple design as a cookie cutter and sewed it into quilts. We followed our news coverage with a column<\/a> explaining some of the underlying math and another giving a brief history of tiling<\/a>.<\/p>\n

Speaking of needles, it was also a year of progress on the Kakeya conjecture, which asks how small a volume of space an idealized needle can occupy while spinning in all directions. A new proof<\/a> of a special case of the conjecture (called the \u201csticky\u201d Kakeya conjecture) gives strong evidence that the more general conjecture is true.<\/p>\n

The conjecture turns out to have implications not only for geometry, but also for harmonic analysis and the study of partial differential equations. A follow-up explainer<\/a> examines those implications. And a Quantized Academy<\/em> column<\/a>takes readers through the conjecture\u2019s underlying logic.<\/p>\n

In other geometry news, a long-standing idea about maps between spheres of different dimensionality, called the telescope conjecture, was shown to be false<\/a>. Particular types of contact structures (patterns of planes that satisfy certain mathematical properties) that had long been thought to be impossible turned out to exist<\/a>.<\/p>\n

We interviewed Emmy Murphy<\/a>, a geometer who studies such contact structures. Murphy describes contact geometry (and its sibling, symplectic geometry) as existing in the middle of a spectrum of rigidity and flexibility. In rigid geometry, much depends, she said, on precise measurements, while flexible geometry tends to resemble algebra. But in between, she said, is where \u201cvisual thinking is more useful.\u201d<\/p>\n

In January, the mathematician Assaf Naor and the computer scientist Oded Regev proved the existence<\/a> of so-called spherical cubes. These are objects whose surface area grows slowly \u2014 as does the surface area of spheres in higher dimensions \u2014 but which can completely fill space the way cubes can.<\/p>\n

One of the most prominent geometers of the 20th century, Eugenio Calabi, died at age 100<\/a> on September 25. Jerry Kazdan, one of his longtime colleagues, said that Calabi would \u201cask interesting questions that no one else was thinking about.\u201d Our obituary of Calabi explores those questions, focusing particularly on his best-known discovery, Calabi-Yau manifolds, which later became central to string theory in physics.<\/p>\n

\u00a0<\/p>\n<\/div>\n

<\/br><\/br><\/br><\/p>\n

Uncategorized<\/br>
\n<\/br>
\nSource:https:\/\/www.quantamagazine.org\/the-biggest-discoveries-in-math-in-2023-20231222\/#comments<\/a><\/br><\/br><\/p>\n","protected":false},"excerpt":{"rendered":"

Source:https:\/\/www.quantamagazine.org\/the-biggest-discoveries-in-math-in-2023-20231222\/#comments The Year in Math 2023-12-25 21:58:33 It was also an exciting year in geometry. The most attention-getting result of the year was the discovery of a new kind of tile that covers the plane in a pattern that never repeats. A two-tile combination that does this has been known since the 1970s, but the […]<\/p>\n","protected":false},"author":1,"featured_media":38599,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","om_disable_all_campaigns":false,"pagelayer_contact_templates":[],"_pagelayer_content":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-38598","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"yoast_head":"\nThe Year in Math - Science and Nerds<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/scienceandnerds.com\/2023\/12\/25\/the-year-in-math\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Year in Math - Science and Nerds\" \/>\n<meta property=\"og:description\" content=\"Source:https:\/\/www.quantamagazine.org\/the-biggest-discoveries-in-math-in-2023-20231222\/#comments The Year in Math 2023-12-25 21:58:33 It was also an exciting year in geometry. 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