{"id":1054,"date":"2010-02-20T16:58:24","date_gmt":"2010-02-20T20:58:24","guid":{"rendered":"http:\/\/mat.tepper.cmu.edu\/blog\/?p=1054"},"modified":"2010-02-20T16:58:24","modified_gmt":"2010-02-20T20:58:24","slug":"opt-art-takes-first-place","status":"publish","type":"post","link":"https:\/\/mat.tepper.cmu.edu\/blog\/index.php\/2010\/02\/20\/opt-art-takes-first-place\/","title":{"rendered":"OPT-Art takes first place"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft\" style=\"margin-left: 5px; margin-right: 5px;\" title=\"Bosch TSP Art\" src=\"https:\/\/www.ams.org\/images\/bosch-1stprize.jpg\" alt=\"\" width=\"300\" height=\"221\" \/>My friend and co-author <a href=\"http:\/\/www.oberlin.edu\/math\/faculty\/bosch.html\">Bob Bosch<\/a> <a href=\"https:\/\/www.ams.org\/news\/home-news.html\">was awarded First Prize in the Mathematical Art Exhibition<\/a> held by the American Mathematical Society.  This work was based on the Traveling Salesman Problem:<\/p>\n<blockquote><p>He describes his work in the exhibition catalog: &#8220;I began by converting a drawing of a two-component link into a symmetric collection of points. By treating the points as the cities of a Traveling Salesman Problem and adding constraints that forced the salesman&#8217;s tour to be symmetric, I constructed a symmetric simple-closed curve that divides the plane into two pieces: inside and outside. With a water jet cutter, I cut along this Jordan curve through quarter-inch thick, six-inch diameter disks of steel and brass. By swapping inside pieces I obtained two copies of the sculpture. Here, steel is inside and brass is outside&#8230; After I get an idea for a piece, I translate the idea into a mathematical optimization problem. I then solve the problem, render the solution, and see if I&#8217;m pleased with the result. If I am, I stop. If not, I revise the mathematical optimization problem, solve it, render its solution, and examine it. Often, I need to go through many iterations to end up with a piece that pleases me. I do this out of a love of mathematical optimization&#8211;the theory, the algorithms, the numerous applications.&#8221;<\/p><\/blockquote>\n<p>If you have a spare hour or two, be sure to check out the <a href=\"http:\/\/www.anneburns.net\/jmm10\/index.html\">complete exhibition<\/a>.  Hmmm..  I have had some thoughts about translating my baseball schedules into Lego.  I wonder if that could compete?  Maybe not.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft\" style=\"margin-left: 5px; margin-right: 5px;\" title=\"Bosch TSP Art\" src=\"http:\/\/www.oberlin.edu\/math\/faculty\/bosch\/warhol-web.png\" alt=\"\" width=\"255\" height=\"290\" \/>I am the proud owner of two Boschs:  I received a copy of a domino portrait of myself (I periodically use the <a href=\"http:\/\/mat.tepper.cmu.edu\/trick\/domino.html\">portrait as my photo<\/a>).  I also have a spectacular traveling salesman art based on work by Warhol.  If you visit my office, I have placed it so it is seen at the end of a long hallway.  It is a conversation piece for all the hallway residents.  You can get your own Bosch at <a href=\"http:\/\/www.dominoartwork.com\/\">Domino Artwork<\/a>.  There are also instructions for teachers who want to make a domino portrait of Barack Obama, Abe Lincoln, Martin Luther King, and others as classroom projects.<\/p>\n<p>Thanks to Twitter&#8217;s <a href=\"http:\/\/twitter.com\/wjcook\">@wjcook<\/a> (Georgia Tech&#8217;s TSP guru <a href=\"http:\/\/www2.isye.gatech.edu\/~wcook\/\">Bill Cook<\/a>) for the pointer.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>My friend and co-author Bob Bosch was awarded First Prize in the Mathematical Art Exhibition held by the American Mathematical Society. This work was based on the Traveling Salesman Problem: He describes his work in the exhibition catalog: &#8220;I began by converting a drawing of a two-component link into a symmetric collection of points. By &hellip; <a href=\"https:\/\/mat.tepper.cmu.edu\/blog\/index.php\/2010\/02\/20\/opt-art-takes-first-place\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;OPT-Art takes first place&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5,44],"tags":[],"class_list":["post-1054","post","type-post","status-publish","format-standard","hentry","category-art-and-music","category-prizes"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/mat.tepper.cmu.edu\/blog\/index.php\/wp-json\/wp\/v2\/posts\/1054","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.tepper.cmu.edu\/blog\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.tepper.cmu.edu\/blog\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.tepper.cmu.edu\/blog\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.tepper.cmu.edu\/blog\/index.php\/wp-json\/wp\/v2\/comments?post=1054"}],"version-history":[{"count":0,"href":"https:\/\/mat.tepper.cmu.edu\/blog\/index.php\/wp-json\/wp\/v2\/posts\/1054\/revisions"}],"wp:attachment":[{"href":"https:\/\/mat.tepper.cmu.edu\/blog\/index.php\/wp-json\/wp\/v2\/media?parent=1054"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.tepper.cmu.edu\/blog\/index.php\/wp-json\/wp\/v2\/categories?post=1054"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.tepper.cmu.edu\/blog\/index.php\/wp-json\/wp\/v2\/tags?post=1054"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}