{"id":45959,"date":"2025-03-15T18:08:04","date_gmt":"2025-03-15T22:08:04","guid":{"rendered":"https:\/\/newssprinters.com\/index.php\/world\/a-mathematical-fever-dream-hits-the-road\/15\/03\/2025\/"},"modified":"2025-03-15T18:08:04","modified_gmt":"2025-03-15T22:08:04","slug":"a-mathematical-fever-dream-hits-the-road","status":"publish","type":"post","link":"https:\/\/newssprinters.com\/index.php\/world\/a-mathematical-fever-dream-hits-the-road\/15\/03\/2025\/","title":{"rendered":"A Mathematical \u2018Fever Dream\u2019 Hits the Road"},"content":{"rendered":"<p>\n<\/p>\n<div data-testid=\"companionColumn-0\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\"><a class=\"css-yywogo\" href=\"https:\/\/www.nytimes.com\/2021\/09\/14\/magazine\/ingrid-daubechies.html\" title=\"\" target=\"_blank\" rel=\"noopener nofollow\">Ingrid Daubechies<\/a>, a mathematician at Duke University, is an expert on many matters, not least the baking of cookies in the shape of pi, the mathematical constant that equals the ratio of a circle\u2019s circumference to its diameter, or roughly 3.14159. A sugar cookie recipe works fine, Dr. Daubechies says. But she prefers a savory version with cheese (Parmigiano-Reggiano) and herbs (thyme and marjoram).<\/p>\n<p class=\"css-at9mc1 evys1bk0\">In the summer of 2023, Dr. Daubechies made a pi-shaped cookie cutter that tiles the plane: In principle, when this shape cuts cookies from a large sheet of dough, it generates absolutely no wasteful scraps from one cookie to the next, row upon row upon row. (The reality of crumbs makes it hard to execute this ideal perfectly, Dr. Daubechies noted.)<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-1\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\">Dr. Daubechies plans to bake pi cookies to celebrate Pi Day, which is this Friday, March 14 \u2014 3\/14. That day is also the <a class=\"css-yywogo\" href=\"https:\/\/www.idm314.org\" title=\"\" rel=\"noopener\" target=\"_blank\">International Day of Mathematics<\/a>; the theme in 2025 is mathematics, art and creativity.<\/p>\n<p class=\"css-at9mc1 evys1bk0\">For the occasion, this year Dr. Daubechies is visiting the University of Quebec in Montreal, where she will offer special tours of \u201c<a class=\"css-yywogo\" href=\"https:\/\/mathemalchemy.org\" title=\"\" rel=\"noopener\" target=\"_blank\">Mathemalchemy<\/a>,\u201d a traveling multimedia math-meets-art installation that has been her constant passion (some might say obsession) for the last five years. She will also give a public talk on \u201c<a class=\"css-yywogo\" href=\"https:\/\/evenements.uqam.ca\/evenements\/conference-publique-les-mathematiques-a-la-rescousse-des-conservateurs-d-art-1\/31003?date=2025-03-14_19-00-00\" title=\"\" rel=\"noopener\" target=\"_blank\">Mathematics to the Rescue of Art Curators<\/a>.\u201d<\/p>\n<p class=\"css-at9mc1 evys1bk0\">The exhibition \u2014 a 360-degree diorama of sorts, 20 feet long, 10 feet wide and nine and a half feet high \u2014 was created in collaboration with Dominique Ehrmann, a fiber sculptor from Quebec, and a team of 24 artistic mathematicians and mathematical artists. It debuted in 2022 at the National Academy of Sciences in Washington, D.C., and has made several stops since.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-2\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\">\u201cMathemalchemy\u201d has been described as \u201ca mathematics fever dream turned artistic playground for all math lovers (and haters, too).\u201d<\/p>\n<p class=\"css-at9mc1 evys1bk0\">It is a fantasia fabricated in beadwork, ceramics, crochet, embroidery, knitting, leatherwork, needle felting, origami, painting, polymer clay, 3-D printing, quilting, sewing, stained glass, steel welding, light, temari, weaving, wire bending and woodworking. Last year it had an extended stay at the National Museum of Mathematics on Fifth Avenue in New York City, where one visitor on opening night felt a \u201cGrimms\u2019 fairy tale vibe.\u201d The project\u2019s official catchphrase is: \u201cMathemalchemy, where math is transforming.\u201d<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-3\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\">While hosted, later in 2022, by the Juniata College Museum of Art in Huntingdon, Pa., the project spawned a <a class=\"css-yywogo\" href=\"https:\/\/mathemalchemy.org\/a-comic-book-adventure-in-math-and-art\/\" title=\"\" rel=\"noopener\" target=\"_blank\">comic book<\/a> that has been translated into several languages. In May the exhibition goes to the Navajo Nation Museum in Arizona. The \u201cMathemalchemy\u201d group ran a fund-raiser to finance this installation, and met the goal of $25,000; donors receive their very own pi-cookie cutter as thanks.<\/p>\n<p class=\"css-at9mc1 evys1bk0\">At opening receptions, pi cookies are always served, often washed down with champagne.<\/p>\n<p class=\"css-at9mc1 evys1bk0\">Here\u2019s a sampling of \u201cMathemalchemy\u201d marvels, both on exhibit and in progress. A virtual tour with a detailed narrative is available at <a class=\"css-yywogo\" href=\"https:\/\/mathemalchemy.org\/\" title=\"\" rel=\"noopener\" target=\"_blank\">mathemalchemy.org<\/a>.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-4\">\n<div class=\"css-53u6y8\">\n<hr class=\"css-7ad88g e1mu4ftr0\"\/>\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">A cat named Arnold,<\/strong> left, offers pi cookies hot from the oven.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-5\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\">The artwork is a nod to Vladimir Arnold, a mathematician known in part for a geometric operation called \u201cArnold\u2019s cat map.\u201d The map is a crude depiction of a cat\u2019s head. Over numerous iterations, the image is stretched, sheared and scrambled; along the way, it becomes a seemingly random yet uniform mix of pixels, but eventually the original image reappears.<\/p>\n<p class=\"css-at9mc1 evys1bk0\">Used for image encryption and information security, Arnold\u2019s map is an example of how simple systems can generate complex, chaotic dynamics. A \u201cbaker\u2019s map,\u201d another geometric operation, achieves a similar effect through repeated layering, cutting, stacking and compressing, in a process akin to a baker\u2019s method for making puffed pastry.<\/p>\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">Nearby, Tess the Tortoise<\/strong> strolls along Zeno\u2019s Path with her Sierpinski kite, a tetrahedron with a triangular self-repeating fractal pattern.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-6\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\">\u201cIn order for Tess to reach the end of the path, she must make it halfway,\u201d the exhibit text explains. \u201cBut then she has to make it to the halfway point of the remaining length, and to infinitely more halfway points after that. In theory, this will take forever!\u201d<\/p>\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">In \u201cMathemalchemy,\u201d<\/strong> every road eventually leads to infinity.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-7\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">Two infinite ball arches<\/strong> \u2014 one converging skyward, the other diverging and diving into a bay \u2014 transit through \u201cMathemalchemy.\u201d Here\u2019s the full whirl at the National Academy of Sciences in 2022.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-8\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">The balls are crafted<\/strong> in the Japanese tradition of temari. Those decorated with embroidery represent twin prime numbers that are separated by the value of two: Balls 3 and 5, 5 and 7, 11 and 13 are the first three pairs of twin primes. Mathematicians have conjectured that the number of twin primes is infinite, but this has yet to be proved.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-9\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">A mural depicts an octopus,<\/strong> named OctPi, who is a graffiti artist. With one tentacle, OctoPi paints the wave equation, a way to describe how waves \u2014 of water, light and the like \u2014 ripple and change. The exhibit display notes, \u201cThe ripples created by the green paint dripping from OctoPi\u2019s bucket are described by this equation!\u201d<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-10\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">As part of the \u201cknotical\u201d theme,<\/strong> a crocheted octopus \u2014 OctoPi\u2019s daughter, Cayley \u2014 lounges in the bay, her tentacles sometimes arranging in elegant tangles.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-11\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">Cattails are knottails.<\/strong><\/p>\n<div data-testid=\"imageblock-wrapper\">\n<figure class=\"img-sz-small css-lt5b41 e1g7ppur0\" aria-label=\"media\" role=\"group\"><figcaption data-testid=\"photoviewer-children-caption\" class=\"css-13ytnnu ewdxa0s0\"><span class=\"css-14fe1uy e1z0qqy90\"><span class=\"css-1ly73wi e1tej78p0\">Credit&#8230;<\/span><span><span aria-hidden=\"false\">Tasha Pruitt\/Mathemalchemy<\/span><\/span><\/span><\/figcaption><\/figure>\n<\/div>\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">Helicoid beadwork<\/strong> evokes a strand of DNA and the primordial soup.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-12\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">Beads also incarnate<\/strong> a galaxy of starfish, which belong to the only phylum of animals with fivefold radial symmetry, Echinodermata.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-13\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">A reproduction of a remnant<\/strong> of the Antikythera mechanism, the oldest example of an analogue computer. Recovered from a shipwreck in 1901, the artifact dates to Greek antiquity; it was used for astronomical computation.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-14\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">At one end of the exhibit,<\/strong> the Cryptography Quilt explores the history of cryptography \u2014 \u201csecret writing.\u201d The central padlock is surrounded by depictions of Morse code, blockchain, a carrier pigeon and letter locking, a fingerprint, the enigma machine, quipu and more.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-15\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\">Gilles Brassard, a Quebec computer scientist by training (he describes himself as a failed mathematician and an amateur physicist), first discovered \u201cMathemalchemy\u201d in 2022, while at the National Academy of Sciences for an event. (He was inducted as an international member.) He made several visits over the course of a couple days and spent hours studying it up close. But, peering at the fabulous cryptographic quilt, he noticed that quantum cryptography was not represented.<\/p>\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">Thus inspired, Dr. Daubechies<\/strong> and Ms. Ehrmann created a mini-quilt \u2014 the \u201cQuantum Cryptography Quiltlet\u201d\u2014 illustrating the first quantum cryptography protocol, a method of encryption using quantum mechanics. Dr. Brassard developed the protocol in 1984 with Charles H. Bennett, a physicist; it is called the quantum key establishment scheme Bennett-Brassard-84, or BB84.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-16\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">The quiltlet illustrates<\/strong> how two parties could, rather fancifully, use natural components \u2014 fireflies, calcite crystals and frogs, optimally in a bath of ice cubes \u2014 to implement the BB84 scheme. This was Dr. Bennett\u2019s notion, which he sketched out decades ago with markers.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-17\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">\u201cThe Great Doodle Page,\u201d<\/strong> on the flip side of the quilt, celebrates female mathematicians, using stitched reproductions of their drawings or doodles. One cluster is by Maryam Mirzakhani, who in 2014 became the first woman to win a Fields Medal, the most coveted prize in mathematics. Another is by the 19-century mathematician Ada Lovelace, who wrote the first algorithm for a computer.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-18\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">A towering lighthouse<\/strong> anchors the other end of the exhibit. The beacon is housed within a stained-glass dodecahedron, a regular polyhedron with 12 faces, each a pentagon.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-19\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\">The mathematicians Jayadev Athreya, David Aulicino and Patrick Hooper recently proved that there are an infinite number of straight paths on the dodecahedron that start at one vertex, proceed in a straight path around the polyhedron and return to the starting vertex without passing through any other vertexes.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-20\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">Atop the lighthouse,<\/strong> a sphere with a carved-out pattern casts a stereographic projection on the ceiling \u2014 the projected pattern preserves angles but not lengths.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<div data-testid=\"companionColumn-21\">\n<div class=\"css-53u6y8\">\n<p class=\"css-at9mc1 evys1bk0\"><strong class=\"css-8qgvsz ebyp5n10\">In November,<\/strong> at the opening in Montreal, Dr. Daubechies and Ms. Ehrmann addressed an audience of some 250 people and unpacked the intertwined contributions of two dozen \u201cmathemalchemists.\u201d \u201cWe consider it a curious collaboration,\u201d Dr. Daubechies said.<\/p>\n<\/div>\n<aside class=\"css-ew4tgv\" aria-label=\"companion column\"\/><\/div>\n<p><a href=\"https:\/\/www.nytimes.com\/2025\/03\/14\/science\/mathematics-daubechies-mathemalchemy.html\" target=\"_blank\" rel=\"noopener nofollow\">Source link <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ingrid Daubechies, a mathematician at Duke University, is an expert on many matters, not least the baking of cookies in the shape<br \/><button class=\"read-more\"><a href=\"https:\/\/newssprinters.com\/index.php\/world\/a-mathematical-fever-dream-hits-the-road\/15\/03\/2025\/\">Read More &rsaquo;<\/a><\/button><\/p>\n","protected":false},"author":1,"featured_media":45960,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","footnotes":""},"categories":[2],"tags":[],"fifu_image_url":"https:\/\/static01.nyt.com\/images\/2025\/03\/14\/multimedia\/14HS-MATHALCHEMY-01-hjkv\/14HS-MATHALCHEMY-01-hjkv-facebookJumbo.jpg","_links":{"self":[{"href":"https:\/\/newssprinters.com\/index.php\/wp-json\/wp\/v2\/posts\/45959"}],"collection":[{"href":"https:\/\/newssprinters.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/newssprinters.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/newssprinters.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/newssprinters.com\/index.php\/wp-json\/wp\/v2\/comments?post=45959"}],"version-history":[{"count":0,"href":"https:\/\/newssprinters.com\/index.php\/wp-json\/wp\/v2\/posts\/45959\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/newssprinters.com\/index.php\/wp-json\/wp\/v2\/media\/45960"}],"wp:attachment":[{"href":"https:\/\/newssprinters.com\/index.php\/wp-json\/wp\/v2\/media?parent=45959"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/newssprinters.com\/index.php\/wp-json\/wp\/v2\/categories?post=45959"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/newssprinters.com\/index.php\/wp-json\/wp\/v2\/tags?post=45959"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}