{"id":116810,"date":"2019-05-17T08:40:42","date_gmt":"2019-05-17T12:40:42","guid":{"rendered":"https:\/\/americansforabetteramerica.com\/?p=116810"},"modified":"2019-05-17T08:40:42","modified_gmt":"2019-05-17T12:40:42","slug":"the-ins-and-outs-of-knit-theory-the-new-york-times","status":"publish","type":"post","link":"https:\/\/americansforabetteramerica.com\/?p=116810","title":{"rendered":"The Ins and Outs of Knit Theory &#8211; The New York Times"},"content":{"rendered":"<article id=\"story\"><span itemprop=\"hasPart\" itemscope=\"\" itemtype=\"http:\/\/schema.org\/WebPageElement\"><meta content=\"False\" itemprop=\"isAccessibleForFree\"><\/meta><meta content=\".meteredContent\" itemprop=\"cssSelector\"><\/meta><\/span><\/p>\n<section itemprop=\"articleBody\" name=\"articleBody\">\n<div>\n<div>\n<p>BOSTON \u2014 On the eve of the American Physical Society\u2019s annual March meeting, a Sunday \u201cstitch \u2018n bitch\u201d session convened during happy hour at a lobby bar of the Westin Boston Waterfront hotel.<\/p>\n<p>Karen Daniels, a physicist at North Carolina State University, had tweeted notice of the meet-up earlier that day: \u201cAre you a physicist into knitting, crocheting, or other fiber arts?\u201d she asked. \u201cI\u2019ll be the one knitting a torus.\u201d (A torus is a mathematized doughnut; hers <a href=\"https:\/\/twitter.com\/karenedaniels\/status\/1105256969600991232\" rel=\"noopener noreferrer\" target=\"_blank\" title=\"\">was inspired<\/a> by a figure in a friend\u2019s scientific paper.)<\/p>\n<p>At the bar, amid tables cluttered with balls of yarn, Dr. Daniels absorbed design advice from a group of specialized knitters, among them Elisabetta Matsumoto, an applied mathematician and physicist at the Georgia Institute of Technology and a co-host of the gathering.<\/p>\n<p>For Dr. Matsumoto, knitting is more than a handicraft hobby <a href=\"https:\/\/well.blogs.nytimes.com\/2016\/01\/25\/the-health-benefits-of-knitting\/\" title=\"\">with health benefits<\/a>. She is embarking on a five-year project, \u201cWhat a Tangled Web We Weave,\u201d funded by the National Science Foundation, to investigate the mathematics and mechanics of \u201cthe ancient technology known as knitting.\u201d<\/p>\n<\/div>\n<aside><\/aside>\n<\/div>\n<div>\n<p>Some of the oldest examples date to the 11th century B.C.E. in Egypt. But despite generations of practical and experiential knowledge, the physical and mathematical properties of knitted fabric <a href=\"https:\/\/journals.aps.org\/prx\/abstract\/10.1103\/PhysRevX.8.021075\" rel=\"noopener noreferrer\" target=\"_blank\" title=\"\">rarely<\/a> are studied in a way that produces predictive models about how such fabrics behave.<\/p>\n<aside><\/aside>\n<\/div>\n<div data-testid=\"photoviewer-wrapper\">\n<div data-testid=\"photoviewer-children\">\n<figure aria-label=\"media\" itemid=\"https:\/\/static01.nyt.com\/images\/2019\/05\/21\/science\/00SCI-KNITTING-10\/merlin_154031904_0a4bab7a-1241-41b4-bc33-de50b9ee3ca8-articleLarge.jpg?quality=90&#038;auto=webp\" itemprop=\"associatedMedia\" itemscope=\"\" itemtype=\"http:\/\/schema.org\/ImageObject\" role=\"group\">\n<div><span>Image<\/span><\/img><\/div><figcaption itemprop=\"caption description\"><span>Elisabetta Matsumoto, center, with graduate students Krishma Singal, left, and Danielle Skinner, is a physicist at the Georgia Institute of Technology, embarking on a five-year study of the mathematics and mechanics of knitting.<\/span><span itemprop=\"copyrightHolder\"><span>Credit<\/span><span>Johnathon Kelso for The New York Times<\/span><\/span><\/figcaption><\/figure>\n<\/div>\n<\/div>\n<div>\n<div>\n<p>Dr. Matsumoto argues that \u201cknitting is coding\u201d and that yarn is a programmable material. The potential dividends of her research range from wearable electronics to tissue scaffolding.<\/p>\n<p>During the happy-hour meetup, she knitted a swatch illustrating a plastic surgery technique called Z-plasty. The swatch was for a talk she would deliver at 8 a.m. on Wednesday morning called \u201cTwisted Topological Tangles.\u201d Scores of physicists turned up, despite a competing parallel session on \u201c<a href=\"https:\/\/meetings.aps.org\/Meeting\/MAR19\/Session\/K57.1\" rel=\"noopener noreferrer\" target=\"_blank\" title=\"\">The Extreme Mechanics of Balloons<\/a>.\u201d<\/p>\n<p>\u201cI\u2019ve been knitting since I was a kid,\u201d Dr. Matsumoto told her (mostly male) audience. \u201cThat was the thing I did to get along with my mom when I was a teenager. It\u2019s just been a dream to take all of this stuff that I learned and played with as a child and turn it into something scientifically rigorous.\u201d<\/p>\n<\/div>\n<aside><\/aside>\n<\/div>\n<div>\n<div>\n<p>As a first step, her team is enumerating all possible knittable stitches: \u201cWe know there\u2019s going to be uncountably many, there\u2019s going to be a countably infinite number. How to classify them is what we are working on now.\u201d<\/p>\n<p><strong><em>[<\/em><\/strong><strong><a href=\"http:\/\/on.fb.me\/1paTQ1h\" rel=\"noopener noreferrer\" target=\"_blank\" title=\"\"><em>Like the Science Times page on Facebook.<\/em><\/a><\/strong><strong><em> <\/em><\/strong><em>| Sign up for the <\/em><strong><a href=\"http:\/\/nyti.ms\/1MbHaRU\" rel=\"noopener noreferrer\" target=\"_blank\" title=\"\"><em>Science Times newsletter.<\/em><\/a><\/strong><strong><em>]<\/em><\/strong><\/p>\n<p>The investigation is informed by the mathematical tradition of knot theory. A knot is a tangled circle \u2014 a circle embedded with crossings that cannot be untangled. (A circle with no crossings is an \u201cunknot.\u201d)<\/p>\n<p>\u201cThe knitted stitch is a whole series of slipknots, one after the other,\u201d said Dr. Matsumoto. Rows and columns of slipknots form a lattice pattern so regular that it is analogous to crystal structure and crystalline materials.<\/p>\n<p>By way of knot theory, Dr. Matsumoto essentially is developing a knit theory: an alphabet of unit-cell stitches, a glossary of stitch combinations, and a grammar governing the knitted geometry and topology \u2014 the fabric\u2019s stretchiness, or its \u201cemergent elasticity.\u201d<\/p>\n<h2 id=\"link-1dd6bbb6\">How \u2018floofy\u2019 is it?<\/h2>\n<\/div>\n<aside><\/aside>\n<\/div>\n<div>\n<figure aria-label=\"media\" itemid=\"https:\/\/static01.nyt.com\/images\/2019\/05\/21\/science\/00SCI-KNITTING-9\/merlin_154031733_b2603f5d-0ac8-4f0c-b6e2-4544088d6e52-articleLarge.jpg?quality=90&#038;auto=webp\" itemprop=\"associatedMedia\" itemscope=\"\" itemtype=\"http:\/\/schema.org\/ImageObject\" role=\"group\">\n<div><span>Image<\/span><\/p>\n<div><\/div>\n<\/div><figcaption itemprop=\"caption description\"><span>\u201cFloofiness\u201d refers to a yarn\u2019s \u201chalo area, where ephemeral fuzzy fibers stick out,\u201d Dr. Matsumoto said.<\/span><span itemprop=\"copyrightHolder\"><span>Credit<\/span><span>Johnathon Kelso for The New York Times<\/span><\/span><\/figcaption><\/figure>\n<figure aria-label=\"media\" itemid=\"https:\/\/static01.nyt.com\/images\/2019\/05\/21\/science\/00SCI-KNITTING-7\/merlin_154031457_bad9967d-f557-4ad6-885f-5c65da4f5d72-articleLarge.jpg?quality=90&#038;auto=webp\" itemprop=\"associatedMedia\" itemscope=\"\" itemtype=\"http:\/\/schema.org\/ImageObject\" role=\"group\">\n<div><span>Image<\/span><\/p>\n<div><\/div>\n<\/div><figcaption itemprop=\"caption description\"><span>Dr. Matsumoto knitted this Crown Prince Square Shawl from a pattern by fabric designer Nancy Bush.<\/span><span itemprop=\"copyrightHolder\"><span>Credit<\/span><span>Johnathon Kelso for The New York Times<\/span><\/span><\/figcaption><\/figure>\n<\/div>\n<div>\n<div>\n<p>When discussing the emergent properties of knitting, Dr. Matsumoto sometimes makes reference to a butterfly, the vibrant blue morpho. Its color is optically emergent, the result not of chemical pigment but of structure. In effect, each wing is a metamaterial: covered in layers of nanosized scales, arranged in a pattern called a gyroid surface, the wing absorbs most wavelengths of light, but reflects blue.<\/p>\n<p>Knitted fabric is also a metamaterial. A length of yarn is all but inelastic, but when configured in slipknots \u2014 in patterns of knits and purls \u2014 varying degrees of elasticity emerge.<\/p>\n<\/div>\n<aside><\/aside>\n<\/div>\n<div>\n<div>\n<p>\u201cJust based on these two stitches, these two fundamental units, we can make a whole series of fabrics, and each of these fabrics has remarkably different elastic properties,\u201d Dr. Matsumoto told the audience.<\/p>\n<p>She first combined her math-y and woolly mind-sets as a Ph.D. student, after admiring a friend\u2019s crocheted interpretation of the hyperbolic plane (curly kale is a vegetable example) and wondering how to do it differently.<\/p>\n<p>\u201cIt irritated me that it wasn\u2019t isotropic,\u201d she recalled on the day before her talk. She could see where the crochet had begun, whereas a true hyperbolic plane should betray no starting point and no direction. <\/p>\n<p>She thought, \u201cI can fix that.\u201d<\/p>\n<\/div>\n<aside><\/aside>\n<\/div>\n<div data-testid=\"photoviewer-wrapper\">\n<div data-testid=\"photoviewer-children\">\n<figure aria-label=\"media\" itemid=\"https:\/\/static01.nyt.com\/images\/2019\/04\/30\/science\/00SCI-KNITTING-5\/merlin_154032000_63ffe6d2-7926-4973-b678-8387b52bd187-articleLarge.jpg?quality=90&#038;auto=webp\" itemprop=\"associatedMedia\" itemscope=\"\" itemtype=\"http:\/\/schema.org\/ImageObject\" role=\"group\">\n<div><span>Image<\/span><\/p>\n<div><\/div>\n<\/div><figcaption itemprop=\"caption description\"><span>Knitted fabric is a metamaterial. A length of yarn is nearly inelastic, but when configured in slipknots, the yarn gains elasticity.<\/span><span itemprop=\"copyrightHolder\"><span>Credit<\/span><span>Johnathon Kelso for The New York Times<\/span><\/span><\/figcaption><\/figure>\n<\/div>\n<\/div>\n<div>\n<div>\n<p>She crocheted a network of lace-like heptagons that produced a more uniform rendering. The hyperbolic plane has been her constant companion ever since. In April, she had a <a href=\"https:\/\/twitter.com\/Sabetta_\/status\/1119441038932889601\" rel=\"noopener noreferrer\" target=\"_blank\" title=\"\">hyperbolic helicoid<\/a> \u2014 a fantastically swirly helix, somewhat like a seashell \u2014 tattooed to her left shoulder.<\/p>\n<p>During her talk, Dr. Matsumoto passed around her hand-knit swatches: stockinette (standard jersey, fairly stretchy, used for T-shirts); garter (stretchier); ribbing (stretchiest); and seed (not so stretchy, but one of her favorites).<\/p>\n<p>A sizable fraction of her audience also flaunted their hand-knits \u2014 sweaters, hats, a water-bottle cozy, indeterminate works in progress. Dr. Matsumoto\u2019s most prized hand-knit creation is her \u201cdragon of happiness\u201d shawl (from a design by knitter Sharon Winsauer, a.k.a. the <a href=\"https:\/\/www.etsy.com\/ca\/shop\/CrazyLaceLady\" rel=\"noopener noreferrer\" target=\"_blank\" title=\"\">Crazy Lace Lady<\/a>). <\/p>\n<\/div>\n<aside><\/aside>\n<\/div>\n<div>\n<div>\n<p>Knitting away for two months, Dr. Matsumoto encountered one stitch in the dragon\u2019s beard that she had never seen before.<\/p>\n<p>\u201cIn the pattern for the dragon, there are all these crazy stitches,\u201d she said \u2014 stitches that took up not just a single cell on the pattern grid, but stretched across numerous cells, seeming to follow a horizontal array rather than the usual, vertical orientation.<\/p>\n<p>Her team\u2019s knit theory will incorporate these and other stitch morphologies, as well as intentional stitch defects and constraints, such as how a yarn bends, twists and compresses; how many plies it has, how thick it is, and how \u201cfloofy.\u201d<\/p>\n<p>Floofiness refers to a yarn\u2019s \u201chalo area, where ephemeral fuzzy fibers stick out,\u201d Dr. Matsumoto said, and it changes the way two pieces of yarn interact with each other, their friction and energy exchange. \u201cI\u2019d love to write a paper using the word \u2018floofy\u2019 as a technical term.\u201d<\/p>\n<h2 id=\"link-5ceba153\">Decoding the knittable knots<\/h2>\n<\/div>\n<aside><\/aside>\n<\/div>\n<div data-testid=\"photoviewer-wrapper\">\n<div data-testid=\"photoviewer-children\">\n<figure aria-label=\"media\" itemid=\"https:\/\/static01.nyt.com\/images\/2019\/04\/30\/science\/00SCI-KNITTING-3\/merlin_154031415_e07447d8-b93f-46fb-b39b-0784a5bcba6c-articleLarge.jpg?quality=90&#038;auto=webp\" itemprop=\"associatedMedia\" itemscope=\"\" itemtype=\"http:\/\/schema.org\/ImageObject\" role=\"group\">\n<div><span>Image<\/span><\/p>\n<div><\/div>\n<\/div><figcaption itemprop=\"caption description\"><span>Dr. Matsumoto&#8217;s diverse research interests include applied mathematics, nonlinear elasticity, materials engineering and \u201csoft condensed matter physics.\u201d<\/span><span itemprop=\"copyrightHolder\"><span>Credit<\/span><span>Johnathon Kelso for The New York Times<\/span><\/span><\/figcaption><\/figure>\n<\/div>\n<\/div>\n<div>\n<div>\n<p>Dr. Matsumoto\u2019s presentation opened a three-hour session entitled \u201c<a href=\"https:\/\/meetings.aps.org\/Meeting\/MAR19\/Session\/K63\" rel=\"noopener noreferrer\" target=\"_blank\" title=\"\">Fabrics, Knits and Knots<\/a>\u201d \u2014 the first time that the subject had been addressed at the American Physical Society\u2019s annual meeting.<\/p>\n<p>\u201cSabetta is spectacularly creative, and she is doing really mathematically sophisticated work,\u201d said Pedro Reis, the session organizer, who leads the Flexible Structures Laboratory at the Swiss Federal Institute of Technology in Lausanne. \u201cShe is also attracting a lot of people to the field who might not otherwise even think about science.\u201d<\/p>\n<\/div>\n<aside><\/aside>\n<\/div>\n<div>\n<div>\n<p>During his introductory remarks, Dr. Reis had a vexing encounter with an intertwined microphone cord. \u201cThis is a good example of why we really care about this topic,\u201d he said.<\/p>\n<p>Dr. Reis grapples with the likes of <a href=\"https:\/\/journals.aps.org\/prl\/abstract\/10.1103\/PhysRevLett.115.118302\" rel=\"noopener noreferrer\" target=\"_blank\" title=\"\">long-overhand shoelace knotting<\/a>, climbing knots, basket weaving, surgical sutures, and how to pass on the art of surgical-knot craftsmanship to robots. During the session, his lab mates described how they had used a CT scan to probe the internal structure of knot filaments and the friction that arises where filaments touch. After the meeting, Dr. Matsumoto sent him home with some of her swatches.<\/p>\n<p>Derek Moulton, of the University of Oxford, mentioned variants of sailor\u2019s knots, DNA and protein knots, and worms that tie themselves into knots in order to minimize dehydration. He went on discuss \u201cwhether a knotted filament with <a href=\"http:\/\/people.maths.ox.ac.uk\/moulton\/Papers\/Knots.pdf\" rel=\"noopener noreferrer\" target=\"_blank\" title=\"\">zero points of self-contact<\/a> may be realized physically.\u201d That is, can a knot exist wherein none of its crossings touch? (It can; try it at home with a strip of paper, or a cord.)<\/p>\n<p>And Thomas Plumb-Reyes, an applied physicist at Harvard, presented his research on \u201c<a href=\"https:\/\/apswebcasting.com\/webcast\/archive\/aps\/mar19\/?file=march4-19-1\" rel=\"noopener noreferrer\" target=\"_blank\" title=\"\">Detangling Hair<\/a>\u201d to a standing-room-only audience. <\/p>\n<p>\u201cWhat is going on in tangled hair?\u201d he asked. \u201cWhat is the optimal combing strategy?\u201d<\/p>\n<p>Shashank Markande, a Ph.D. student working with Dr. Matsumoto, reported on their stitch classification work so far. Together, they had derived a conjecture: All knittable stitches must be ribbon knots. (A <a href=\"https:\/\/en.wikipedia.org\/wiki\/Ribbon_knot\" rel=\"noopener noreferrer\" target=\"_blank\" title=\"\">ribbon knot<\/a> is a very technical tangle.) And they pondered the corollary: Are all ribbon knots knittable?<\/p>\n<p>Back in February, Mr. Markande (who started knitting only recently for the sake of science) thought he\u2019d found an example of an unknittable ribbon knot, using a knots-and-links software program called SnapPy. He sent Dr. Matsumoto a text message with a sketch: \u201cTell me if this can be knitted?\u201d<\/p>\n<p>Dr. Matsumoto was just heading out for a run, and by the time she returned, having manipulated the yarn every which way in her head, she had worked out an answer. \u201cI think that can be knitted,\u201d she texted back. When Mr. Markande pressed her on how, she added: \u201cIt\u2019s knittable by our rules, but it isn\u2019t trivial to do with needles.\u201d<\/p>\n<\/div>\n<aside><\/aside>\n<\/div>\n<div>\n<div>\n<p>Mr. Markande said later, \u201cI was pretty surprised. With my limited knowledge, I thought it could not be knitted. But Sabetta managed to knit it.\u201d<\/p>\n<h2 id=\"link-21287c2e\">Taking yarn to the big screen<\/h2>\n<\/div>\n<aside><\/aside>\n<\/div>\n<div>\n<figure aria-label=\"media\" itemid=\"https:\/\/static01.nyt.com\/images\/2019\/05\/21\/science\/00SCI-KNITTING-2\/merlin_154031418_59c697f2-8166-40ac-b323-ee5759176996-articleLarge.jpg?quality=90&#038;auto=webp\" itemprop=\"associatedMedia\" itemscope=\"\" itemtype=\"http:\/\/schema.org\/ImageObject\" role=\"group\">\n<div><span>Image<\/span><\/p>\n<div><\/div>\n<\/div><figcaption itemprop=\"caption description\"><span>Dr. Matsumoto\u2019s \u201cKlein quartic quilt\u201d contains 24 seven-sided polygons, with three meeting at each vertex.<\/span><span itemprop=\"copyrightHolder\"><span>Credit<\/span><span>Johnathon Kelso for The New York Times<\/span><\/span><\/figcaption><\/figure>\n<figure aria-label=\"media\" itemid=\"https:\/\/static01.nyt.com\/images\/2019\/04\/30\/science\/00SCI-KNITTING-8\/merlin_154031475_ce80f285-75c8-4e2c-8afc-a0d3956c1f79-articleLarge.jpg?quality=90&#038;auto=webp\" itemprop=\"associatedMedia\" itemscope=\"\" itemtype=\"http:\/\/schema.org\/ImageObject\" role=\"group\">\n<div><span>Image<\/span><\/p>\n<div><\/div>\n<\/div><figcaption itemprop=\"caption description\"><span>Yarns literal and figurative join at a weekly stitch-n-bitch at the Georgia Tech School of Physics.<\/span><span itemprop=\"copyrightHolder\"><span>Credit<\/span><span>Johnathon Kelso for The New York Times<\/span><\/span><\/figcaption><\/figure>\n<\/div>\n<figure aria-label=\"media\" itemprop=\"associatedMedia\" itemscope=\"\" itemtype=\"http:\/\/schema.org\/VideoObject\" role=\"group\">\n<div><span>Video<\/span><\/p>\n<div><\/div>\n<\/div><figcaption itemprop=\"caption description name\"><span>The replica Taitexma Industrial knitting machine in Dr. Matsumoto\u2019s lab. Video by Krishma Singal<\/span><span><span>Credit<\/span><\/span><\/figcaption><\/figure>\n<div>\n<div>\n<p>For the Tangled Web project, most of the experimental knitting is produced by a replica of a vintage 1970s knitting machine, the Taitexma Industrial and Home-Based Knitting Machine Model TH-860, which is operated by Krishma Singal, a doctoral student. The machine can also be programmed by punched cards \u2014 as was the Jacquard loom, invented in 1804 by Joseph Marie Jacquard and sometimes called the first digital technology.<\/p>\n<p>Dr. Matsumoto\u2019s team likes to contemplate how stitch patterns provide code \u2014 more complex code than the 1s and 0s of binary \u2014 that creates the program for the elasticity and geometry of knitted fabric. The buzzword is \u201ctopological programmable materials,\u201d said postdoc Michael Dimitriyev. <\/p>\n<p>He is working on a computer simulation of knitted fabric, inputting yarn properties and stitch topology, and outputting the geometry and elasticity of the real-life finished object. \u201cI\u2019m the killjoy that brings in elasticity,\u201d he likes to say.<\/p>\n<p>The team\u2019s first paper, currently underway, will verify Dr. Dimitriyev\u2019s simulations against Ms. Singal\u2019s hard-copy swatches. Once the computer simulation is refined, Dr. Matsumoto and her collaborators can pull out equations and algorithms for knitted fabric behavior, which in turn could be put into physics engines for computer game graphics, or movies. <\/p>\n<\/div>\n<aside><\/aside>\n<\/div>\n<div>\n<div>\n<p>Pixar\u2019s \u201cBrave\u201d and \u201cMonsters, Inc.\u201d showcased cutting-edge animation of hair and fur, but yarn has yet to have its time in the spotlight. Fabric animation is still very trial-and-error, and it requires time-intensive supercomputers to render.<\/p>\n<p>\u201cThis could go in that direction,\u201d said Dr. Matsumoto. It\u2019s a good yarn, albeit just at the beginning, and still a bit floofy around the edges.<\/p>\n<\/div>\n<aside><\/aside>\n<\/div>\n<div>\n<p>Earlier reporting on fabrics and textiles<\/p>\n<\/div>\n<\/section>\n<\/article>\n<p><a style=\"white-space: nowrap\" href=\"https:\/\/www.nytimes.com\/2019\/05\/17\/science\/math-physics-knitting-matsumoto.html\" class=\"button purchase\" rel=\"nofollow noopener noreferrer\" target=\"_blank\">Read More<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>BOSTON \u2014 On the eve of the American Physical Society\u2019s annual March meeting, a Sunday \u201cstitch \u2018n bitch\u201d session convened during happy hour at a lobby bar of the Westin Boston Waterfront hotel.Karen Daniels, a physicist at North Carolina State University, had tweeted notice of the meet-up earlier that day: \u201cAre you a physicist into&hellip;<\/p>\n","protected":false},"author":1,"featured_media":116811,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":""},"categories":[140],"tags":[1196,86],"yst_prominent_words":[],"_links":{"self":[{"href":"https:\/\/americansforabetteramerica.com\/index.php?rest_route=\/wp\/v2\/posts\/116810"}],"collection":[{"href":"https:\/\/americansforabetteramerica.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/americansforabetteramerica.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/americansforabetteramerica.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/americansforabetteramerica.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=116810"}],"version-history":[{"count":0,"href":"https:\/\/americansforabetteramerica.com\/index.php?rest_route=\/wp\/v2\/posts\/116810\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/americansforabetteramerica.com\/index.php?rest_route=\/wp\/v2\/media\/116811"}],"wp:attachment":[{"href":"https:\/\/americansforabetteramerica.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=116810"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/americansforabetteramerica.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=116810"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/americansforabetteramerica.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=116810"},{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/americansforabetteramerica.com\/index.php?rest_route=%2Fwp%2Fv2%2Fyst_prominent_words&post=116810"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}